annotate +scheme/Elastic2dVariable.m @ 1056:b4fa176b4287 feature/poroelastic

Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 25 Jan 2019 15:15:44 -0800
parents 1c334842bf23
children ff274c7404cc
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
687
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1 classdef Elastic2dVariable < scheme.Scheme
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2
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3 % Discretizes the elastic wave equation:
813
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 795
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4 % rho u_{i,tt} = di lambda dj u_j + dj mu di u_j + dj mu dj u_i
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5 % opSet should be cell array of opSets, one per dimension. This
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6 % is useful if we have periodic BC in one direction.
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7
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8 properties
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Martin Almquist <malmquist@stanford.edu>
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9 m % Number of points in each direction, possibly a vector
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10 h % Grid spacing
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11
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12 grid
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13 dim
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14
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15 order % Order of accuracy for the approximation
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16
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Martin Almquist <malmquist@stanford.edu>
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17 % Diagonal matrices for varible coefficients
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Martin Almquist <malmquist@stanford.edu>
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18 LAMBDA % Variable coefficient, related to dilation
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Martin Almquist <malmquist@stanford.edu>
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19 MU % Shear modulus, variable coefficient
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Martin Almquist <malmquist@stanford.edu>
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20 RHO, RHOi % Density, variable
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Martin Almquist <malmquist@stanford.edu>
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21
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Martin Almquist <malmquist@stanford.edu>
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22 D % Total operator
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Martin Almquist <malmquist@stanford.edu>
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23 D1 % First derivatives
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Martin Almquist <malmquist@stanford.edu>
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24
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Martin Almquist <malmquist@stanford.edu>
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25 % Second derivatives
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Martin Almquist <malmquist@stanford.edu>
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26 D2_lambda
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Martin Almquist <malmquist@stanford.edu>
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27 D2_mu
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28
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Martin Almquist <malmquist@stanford.edu>
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29 % Traction operators used for BC
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Martin Almquist <malmquist@stanford.edu>
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30 T_l, T_r
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Martin Almquist <malmquist@stanford.edu>
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31 tau_l, tau_r
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32
855
5751262b323b Add 1D quadrature matrices as property in Elastic2dVariable.
Martin Almquist <malmquist@stanford.edu>
parents: 795
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33 H, Hi, H_1D % Inner products
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34 e_l, e_r
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b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
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parents: 795
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35
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Martin Almquist <malmquist@stanford.edu>
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36
687
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Martin Almquist <malmquist@stanford.edu>
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37 d1_l, d1_r % Normal derivatives at the boundary
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Martin Almquist <malmquist@stanford.edu>
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38 E % E{i}^T picks out component i
813
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
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39
687
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40 H_boundary % Boundary inner products
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41
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Martin Almquist <malmquist@stanford.edu>
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42 % Kroneckered norms and coefficients
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Martin Almquist <malmquist@stanford.edu>
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43 RHOi_kron
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Martin Almquist <malmquist@stanford.edu>
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44 Hi_kron
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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45
882
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
Martin Almquist <malmquist@stanford.edu>
parents: 861
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46 % Borrowing constants of the form gamma*h, where gamma is a dimensionless constant.
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
Martin Almquist <malmquist@stanford.edu>
parents: 861
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47 theta_R % Borrowing (d1- D1)^2 from R
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
Martin Almquist <malmquist@stanford.edu>
parents: 861
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48 theta_H % First entry in norm matrix
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parents: 861
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49 theta_M % Borrowing d1^2 from M.
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parents: 861
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50
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
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51 % Structures used for adjoint optimization
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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52 B
687
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53 end
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Martin Almquist <malmquist@stanford.edu>
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54
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Martin Almquist <malmquist@stanford.edu>
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55 methods
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56
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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57 % The coefficients can either be function handles or grid functions
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
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58 function obj = Elastic2dVariable(g ,order, lambda, mu, rho, opSet)
687
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59 default_arg('opSet',{@sbp.D2Variable, @sbp.D2Variable});
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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60 default_arg('lambda', @(x,y) 0*x+1);
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parents: 855
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61 default_arg('mu', @(x,y) 0*x+1);
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parents: 855
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62 default_arg('rho', @(x,y) 0*x+1);
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63 dim = 2;
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64
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Martin Almquist <malmquist@stanford.edu>
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65 assert(isa(g, 'grid.Cartesian'))
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66
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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67 if isa(lambda, 'function_handle')
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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68 lambda = grid.evalOn(g, lambda);
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parents: 855
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69 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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70 if isa(mu, 'function_handle')
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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71 mu = grid.evalOn(g, mu);
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parents: 855
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72 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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73 if isa(rho, 'function_handle')
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
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parents: 855
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74 rho = grid.evalOn(g, rho);
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
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75 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
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76
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Martin Almquist <malmquist@stanford.edu>
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77 m = g.size();
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Martin Almquist <malmquist@stanford.edu>
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78 m_tot = g.N();
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79
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Martin Almquist <malmquist@stanford.edu>
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80 h = g.scaling();
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Martin Almquist <malmquist@stanford.edu>
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81 lim = g.lim;
729
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
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82 if isempty(lim)
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
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83 x = g.x;
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
parents: 727
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84 lim = cell(length(x),1);
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
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85 for i = 1:length(x)
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
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86 lim{i} = {min(x{i}), max(x{i})};
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
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87 end
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
parents: 727
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88 end
687
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89
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Martin Almquist <malmquist@stanford.edu>
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90 % 1D operators
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Martin Almquist <malmquist@stanford.edu>
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91 ops = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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92 for i = 1:dim
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Martin Almquist <malmquist@stanford.edu>
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93 ops{i} = opSet{i}(m(i), lim{i}, order);
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Martin Almquist <malmquist@stanford.edu>
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94 end
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Martin Almquist <malmquist@stanford.edu>
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95
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Martin Almquist <malmquist@stanford.edu>
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96 % Borrowing constants
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Martin Almquist <malmquist@stanford.edu>
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97 for i = 1:dim
882
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
Martin Almquist <malmquist@stanford.edu>
parents: 861
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98 obj.theta_R{i} = h(i)*ops{i}.borrowing.R.delta_D;
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
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parents: 861
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99 obj.theta_H{i} = h(i)*ops{i}.borrowing.H11;
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
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parents: 861
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100 obj.theta_M{i} = h(i)*ops{i}.borrowing.M.d1;
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101 end
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102
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Martin Almquist <malmquist@stanford.edu>
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103 I = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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104 D1 = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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105 D2 = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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106 H = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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107 Hi = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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108 e_l = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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109 e_r = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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110 d1_l = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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111 d1_r = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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112
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113 for i = 1:dim
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Martin Almquist <malmquist@stanford.edu>
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114 I{i} = speye(m(i));
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Martin Almquist <malmquist@stanford.edu>
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115 D1{i} = ops{i}.D1;
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Martin Almquist <malmquist@stanford.edu>
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116 D2{i} = ops{i}.D2;
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Martin Almquist <malmquist@stanford.edu>
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117 H{i} = ops{i}.H;
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Martin Almquist <malmquist@stanford.edu>
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118 Hi{i} = ops{i}.HI;
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Martin Almquist <malmquist@stanford.edu>
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119 e_l{i} = ops{i}.e_l;
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Martin Almquist <malmquist@stanford.edu>
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120 e_r{i} = ops{i}.e_r;
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Martin Almquist <malmquist@stanford.edu>
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121 d1_l{i} = ops{i}.d1_l;
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Martin Almquist <malmquist@stanford.edu>
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122 d1_r{i} = ops{i}.d1_r;
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Martin Almquist <malmquist@stanford.edu>
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123 end
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124
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Martin Almquist <malmquist@stanford.edu>
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125 %====== Assemble full operators ========
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Martin Almquist <malmquist@stanford.edu>
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126 LAMBDA = spdiag(lambda);
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Martin Almquist <malmquist@stanford.edu>
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127 obj.LAMBDA = LAMBDA;
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Martin Almquist <malmquist@stanford.edu>
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128 MU = spdiag(mu);
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Martin Almquist <malmquist@stanford.edu>
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129 obj.MU = MU;
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Martin Almquist <malmquist@stanford.edu>
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130 RHO = spdiag(rho);
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Martin Almquist <malmquist@stanford.edu>
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131 obj.RHO = RHO;
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Martin Almquist <malmquist@stanford.edu>
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132 obj.RHOi = inv(RHO);
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133
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Martin Almquist <malmquist@stanford.edu>
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134 obj.D1 = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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135 obj.D2_lambda = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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136 obj.D2_mu = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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137 obj.e_l = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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138 obj.e_r = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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139 obj.d1_l = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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140 obj.d1_r = cell(dim,1);
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Martin Almquist <malmquist@stanford.edu>
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141
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Martin Almquist <malmquist@stanford.edu>
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142 % D1
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Martin Almquist <malmquist@stanford.edu>
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143 obj.D1{1} = kron(D1{1},I{2});
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Martin Almquist <malmquist@stanford.edu>
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144 obj.D1{2} = kron(I{1},D1{2});
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Martin Almquist <malmquist@stanford.edu>
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145
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Martin Almquist <malmquist@stanford.edu>
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146 % Boundary operators
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
147 obj.e_l{1} = kron(e_l{1},I{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
148 obj.e_l{2} = kron(I{1},e_l{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
149 obj.e_r{1} = kron(e_r{1},I{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
150 obj.e_r{2} = kron(I{1},e_r{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
151
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
152 obj.d1_l{1} = kron(d1_l{1},I{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
153 obj.d1_l{2} = kron(I{1},d1_l{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
154 obj.d1_r{1} = kron(d1_r{1},I{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
155 obj.d1_r{2} = kron(I{1},d1_r{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
156
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
157 % D2
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
158 for i = 1:dim
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
159 obj.D2_lambda{i} = sparse(m_tot);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
160 obj.D2_mu{i} = sparse(m_tot);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
161 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
162 ind = grid.funcToMatrix(g, 1:m_tot);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
163
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
164 for i = 1:m(2)
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
165 D_lambda = D2{1}(lambda(ind(:,i)));
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
166 D_mu = D2{1}(mu(ind(:,i)));
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
167
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
168 p = ind(:,i);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
169 obj.D2_lambda{1}(p,p) = D_lambda;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
170 obj.D2_mu{1}(p,p) = D_mu;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
171 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
172
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
173 for i = 1:m(1)
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
174 D_lambda = D2{2}(lambda(ind(i,:)));
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
175 D_mu = D2{2}(mu(ind(i,:)));
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
176
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
177 p = ind(i,:);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
178 obj.D2_lambda{2}(p,p) = D_lambda;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
179 obj.D2_mu{2}(p,p) = D_mu;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
180 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
181
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
182 % Quadratures
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
183 obj.H = kron(H{1},H{2});
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
184 obj.Hi = inv(obj.H);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
185 obj.H_boundary = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
186 obj.H_boundary{1} = H{2};
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
187 obj.H_boundary{2} = H{1};
855
5751262b323b Add 1D quadrature matrices as property in Elastic2dVariable.
Martin Almquist <malmquist@stanford.edu>
parents: 795
diff changeset
188 obj.H_1D = {H{1}, H{2}};
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
189
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
190 % E{i}^T picks out component i.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
191 E = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
192 I = speye(m_tot,m_tot);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
193 for i = 1:dim
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
194 e = sparse(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
195 e(i) = 1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
196 E{i} = kron(I,e);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
197 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
198 obj.E = E;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
199
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
200 % Differentiation matrix D (without SAT)
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
201 D2_lambda = obj.D2_lambda;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
202 D2_mu = obj.D2_mu;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
203 D1 = obj.D1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
204 D = sparse(dim*m_tot,dim*m_tot);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
205 d = @kroneckerDelta; % Kronecker delta
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
206 db = @(i,j) 1-d(i,j); % Logical not of Kronecker delta
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
207 for i = 1:dim
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
208 for j = 1:dim
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
209 D = D + E{i}*inv(RHO)*( d(i,j)*D2_lambda{i}*E{j}' +...
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
210 db(i,j)*D1{i}*LAMBDA*D1{j}*E{j}' ...
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
211 );
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
212 D = D + E{i}*inv(RHO)*( d(i,j)*D2_mu{i}*E{j}' +...
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
213 db(i,j)*D1{j}*MU*D1{i}*E{j}' + ...
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
214 D2_mu{j}*E{i}' ...
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
215 );
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
216 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
217 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
218 obj.D = D;
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
219 %=========================================%'
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
220
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
221 % Numerical traction operators for BC.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
222 % Because d1 =/= e0^T*D1, the numerical tractions are different
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
223 % at every boundary.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
224 T_l = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
225 T_r = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
226 tau_l = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
227 tau_r = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
228 % tau^{j}_i = sum_k T^{j}_{ik} u_k
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
229
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
230 d1_l = obj.d1_l;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
231 d1_r = obj.d1_r;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
232 e_l = obj.e_l;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
233 e_r = obj.e_r;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
234 D1 = obj.D1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
235
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
236 % Loop over boundaries
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
237 for j = 1:dim
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
238 T_l{j} = cell(dim,dim);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
239 T_r{j} = cell(dim,dim);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
240 tau_l{j} = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
241 tau_r{j} = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
242
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
243 LAMBDA_l = e_l{j}'*LAMBDA*e_l{j};
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
244 LAMBDA_r = e_r{j}'*LAMBDA*e_r{j};
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
245 MU_l = e_l{j}'*MU*e_l{j};
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
246 MU_r = e_r{j}'*MU*e_r{j};
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
247
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
248 [~, n_l] = size(e_l{j});
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
249 [~, n_r] = size(e_r{j});
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
250
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
251 % Loop over components
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
252 for i = 1:dim
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
253 tau_l{j}{i} = sparse(n_l, dim*m_tot);
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
254 tau_r{j}{i} = sparse(n_r, dim*m_tot);
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
255 for k = 1:dim
813
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 795
diff changeset
256 T_l{j}{i,k} = ...
966
4a85cff53107 Fix bug in Elastic2dVariable that caused crash for m_x neq m_y
Martin Almquist <malmquist@stanford.edu>
parents: 965
diff changeset
257 -d(i,j)*LAMBDA_l*(d(i,k)*d1_l{j}' + db(i,k)*e_l{j}'*D1{k})...
4a85cff53107 Fix bug in Elastic2dVariable that caused crash for m_x neq m_y
Martin Almquist <malmquist@stanford.edu>
parents: 965
diff changeset
258 -d(j,k)*MU_l*(d(i,j)*d1_l{j}' + db(i,j)*e_l{j}'*D1{i})...
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
259 -d(i,k)*MU_l*d1_l{j}';
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
260
813
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 795
diff changeset
261 T_r{j}{i,k} = ...
966
4a85cff53107 Fix bug in Elastic2dVariable that caused crash for m_x neq m_y
Martin Almquist <malmquist@stanford.edu>
parents: 965
diff changeset
262 d(i,j)*LAMBDA_r*(d(i,k)*d1_r{j}' + db(i,k)*e_r{j}'*D1{k})...
4a85cff53107 Fix bug in Elastic2dVariable that caused crash for m_x neq m_y
Martin Almquist <malmquist@stanford.edu>
parents: 965
diff changeset
263 +d(j,k)*MU_r*(d(i,j)*d1_r{j}' + db(i,j)*e_r{j}'*D1{i})...
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
264 +d(i,k)*MU_r*d1_r{j}';
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
265
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
266 tau_l{j}{i} = tau_l{j}{i} + T_l{j}{i,k}*E{k}';
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
267 tau_r{j}{i} = tau_r{j}{i} + T_r{j}{i,k}*E{k}';
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
268 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
269
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
270 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
271 end
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
272
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
273 % Transpose T and tau to match boundary operator convention
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
274 for i = 1:dim
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
275 for j = 1:dim
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
276 tau_l{i}{j} = transpose(tau_l{i}{j});
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
277 tau_r{i}{j} = transpose(tau_r{i}{j});
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
278 for k = 1:dim
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
279 T_l{i}{j,k} = transpose(T_l{i}{j,k});
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
280 T_r{i}{j,k} = transpose(T_r{i}{j,k});
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
281 end
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
282 end
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
283 end
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
284
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
285 obj.T_l = T_l;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
286 obj.T_r = T_r;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
287 obj.tau_l = tau_l;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
288 obj.tau_r = tau_r;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
289
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
290 % Kroneckered norms and coefficients
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
291 I_dim = speye(dim);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
292 obj.RHOi_kron = kron(obj.RHOi, I_dim);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
293 obj.Hi_kron = kron(obj.Hi, I_dim);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
294
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
295 % Misc.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
296 obj.m = m;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
297 obj.h = h;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
298 obj.order = order;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
299 obj.grid = g;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
300 obj.dim = dim;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
301
965
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
302 % B, used for adjoint optimization
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
303 B = cell(dim, 1);
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
304 for i = 1:dim
965
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
305 B{i} = cell(m_tot, 1);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
306 end
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
307
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
308 for i = 1:dim
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
309 for j = 1:m_tot
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
310 B{i}{j} = sparse(m_tot, m_tot);
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
311 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
312 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
313
965
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
314 ind = grid.funcToMatrix(g, 1:m_tot);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
315
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
316 % Direction 1
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
317 for k = 1:m(1)
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
318 c = sparse(m(1),1);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
319 c(k) = 1;
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
320 [~, B_1D] = ops{1}.D2(c);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
321 for l = 1:m(2)
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
322 p = ind(:,l);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
323 B{1}{(k-1)*m(2) + l}(p, p) = B_1D;
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
324 end
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
325 end
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
326
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
327 % Direction 2
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
328 for k = 1:m(2)
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
329 c = sparse(m(2),1);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
330 c(k) = 1;
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
331 [~, B_1D] = ops{2}.D2(c);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
332 for l = 1:m(1)
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
333 p = ind(l,:);
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
334 B{2}{(l-1)*m(2) + k}(p, p) = B_1D;
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
335 end
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
336 end
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
337
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
338 obj.B = B;
db3411264b96 Remove use of tensor library in B assembly
Martin Almquist <malmquist@stanford.edu>
parents: 963
diff changeset
339
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
340 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
341
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
342
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
343 % Closure functions return the operators applied to the own domain to close the boundary
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
344 % Penalty functions return the operators to force the solution. In the case of an interface it returns the operator applied to the other doamin.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
345 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
346 % bc is a cell array of component and bc type, e.g. {1, 'd'} for Dirichlet condition
1056
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
347 % on the first component. Can also be e.g.
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
348 % {'normal', 'd'} or {'tangential', 't'} for conditions on
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
349 % tangential/normal component.
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
350 % data is a function returning the data that should be applied at the boundary.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
351 % neighbour_scheme is an instance of Scheme that should be interfaced to.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
352 % neighbour_boundary is a string specifying which boundary to interface to.
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
353 function [closure, penalty] = boundary_condition(obj, boundary, bc, tuning)
738
aa4ef495f1fd Set Dirichlet tuning as parameter in BC function in Elastic2dVariable.
Martin Almquist <malmquist@stanford.edu>
parents: 734
diff changeset
354 default_arg('tuning', 1.2);
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
355
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
356 assert( iscell(bc), 'The BC type must be a 2x1 cell array' );
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
357 comp = bc{1};
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
358 type = bc{2};
1056
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
359 if ischar(comp)
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
360 comp = obj.getComponent(comp, boundary);
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
361 end
729
aa8cf3851de8 Update multiblock.DiffOp to work for systems.
Martin Almquist <malmquist@stanford.edu>
parents: 727
diff changeset
362
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
363 % j is the coordinate direction of the boundary
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
364 j = obj.get_boundary_number(boundary);
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
365 [e, T, tau, H_gamma] = obj.getBoundaryOperator({'e','T','tau','H'}, boundary);
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
366
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
367 E = obj.E;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
368 Hi = obj.Hi;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
369 LAMBDA = obj.LAMBDA;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
370 MU = obj.MU;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
371 RHOi = obj.RHOi;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
372
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
373 dim = obj.dim;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
374 m_tot = obj.grid.N();
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
375
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
376 % Preallocate
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
377 closure = sparse(dim*m_tot, dim*m_tot);
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
378 penalty = sparse(dim*m_tot, m_tot/obj.m(j));
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
379
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
380 k = comp;
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
381 switch type
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
382
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
383 % Dirichlet boundary condition
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
384 case {'D','d','dirichlet','Dirichlet'}
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
385
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
386 alpha = obj.getBoundaryOperator('alpha', boundary);
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
387
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
388 % Loop over components that Dirichlet penalties end up on
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
389 for i = 1:dim
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
390 C = transpose(T{k,i});
974
1c334842bf23 Extract tuning from alpha.
Martin Almquist <malmquist@stanford.edu>
parents: 973
diff changeset
391 A = -tuning*e*transpose(alpha{i,k});
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
392 B = A + e*C;
813
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 795
diff changeset
393 closure = closure + E{i}*RHOi*Hi*B'*e*H_gamma*(e'*E{k}' );
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
394 penalty = penalty - E{i}*RHOi*Hi*B'*e*H_gamma;
813
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 795
diff changeset
395 end
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
396
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
397 % Free boundary condition
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
398 case {'F','f','Free','free','traction','Traction','t','T'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
399 closure = closure - E{k}*RHOi*Hi*e*H_gamma*tau{k}';
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
400 penalty = penalty + E{k}*RHOi*Hi*e*H_gamma;
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
401
795
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
402 % Unknown boundary condition
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
403 otherwise
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible.
Martin Almquist <malmquist@stanford.edu>
parents: 738
diff changeset
404 error('No such boundary condition: type = %s',type);
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
405 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
406 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
407
960
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
408 % type Struct that specifies the interface coupling.
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
409 % Fields:
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
410 % -- tuning: penalty strength, defaults to 1.2
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
411 % -- interpolation: type of interpolation, default 'none'
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
412 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary,type)
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
413
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
414 defaultType.tuning = 1.2;
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
415 defaultType.interpolation = 'none';
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
416 default_struct('type', defaultType);
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
417
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
418 switch type.interpolation
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
419 case {'none', ''}
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
420 [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type);
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
421 case {'op','OP'}
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
422 [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type);
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
423 otherwise
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
424 error('Unknown type of interpolation: %s ', type.interpolation);
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
425 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
426 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
427
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
428 function [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type)
963
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work.
Martin Almquist <malmquist@stanford.edu>
parents: 961
diff changeset
429 tuning = type.tuning;
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work.
Martin Almquist <malmquist@stanford.edu>
parents: 961
diff changeset
430
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
431 % u denotes the solution in the own domain
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
432 % v denotes the solution in the neighbour domain
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
433 % Operators without subscripts are from the own domain.
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
434
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
435 % Get boundary operators
972
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
436 [e, tau] = obj.getBoundaryOperator({'e_tot','tau_tot'}, boundary);
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
437 [e_v, tau_v] = neighbour_scheme.getBoundaryOperator({'e_tot','tau_tot'}, neighbour_boundary);
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
438 H_gamma = obj.getBoundaryQuadrature(boundary);
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
439
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
440 % Operators and quantities that correspond to the own domain only
972
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
441 Hi = obj.Hi_kron;
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
442 RHOi = obj.RHOi_kron;
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
443
972
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
444 % Penalty strength operators
974
1c334842bf23 Extract tuning from alpha.
Martin Almquist <malmquist@stanford.edu>
parents: 973
diff changeset
445 alpha_u = 1/4*tuning*obj.getBoundaryOperator('alpha_tot', boundary);
1c334842bf23 Extract tuning from alpha.
Martin Almquist <malmquist@stanford.edu>
parents: 973
diff changeset
446 alpha_v = 1/4*tuning*neighbour_scheme.getBoundaryOperator('alpha_tot', neighbour_boundary);
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
447
972
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
448 closure = -RHOi*Hi*e*H_gamma*(alpha_u' + alpha_v'*e_v*e');
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
449 penalty = RHOi*Hi*e*H_gamma*(alpha_u'*e*e_v' + alpha_v');
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
450
972
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
451 closure = closure - 1/2*RHOi*Hi*e*H_gamma*tau';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
452 penalty = penalty - 1/2*RHOi*Hi*e*H_gamma*tau_v';
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
453
972
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
454 closure = closure + 1/2*RHOi*Hi*tau*H_gamma*e';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard
Martin Almquist <malmquist@stanford.edu>
parents: 970
diff changeset
455 penalty = penalty - 1/2*RHOi*Hi*tau*H_gamma*e_v';
727
6d5953fc090e First implementation of elastic interface
Martin Almquist <malmquist@stanford.edu>
parents: 726
diff changeset
456
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
457 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
458
960
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
459 function [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type)
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
460 error('Non-conforming interfaces not implemented yet.');
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
461 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface
Martin Almquist <malmquist@stanford.edu>
parents: 959
diff changeset
462
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
463 % Returns the coordinate number and outward normal component for the boundary specified by the string boundary.
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
464 function [j, nj] = get_boundary_number(obj, boundary)
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
465
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
466 switch boundary
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
467 case {'w','W','west','West', 'e', 'E', 'east', 'East'}
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
468 j = 1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
469 case {'s','S','south','South', 'n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
470 j = 2;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
471 otherwise
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
472 error('No such boundary: boundary = %s',boundary);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
473 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
474
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
475 switch boundary
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
476 case {'w','W','west','West','s','S','south','South'}
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
477 nj = -1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
478 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
479 nj = 1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
480 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
481 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
482
1056
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
483 % Returns the component number that is the tangential/normal component
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
484 % at the specified boundary
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
485 function comp = getComponent(obj, comp_str, boundary)
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
486 assertIsMember(comp_str, {'normal', 'tangential'});
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
487 assertIsMember(boundary, {'w', 'e', 's', 'n'});
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
488
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
489 switch boundary
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
490 case {'w', 'e'}
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
491 switch comp_str
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
492 case 'normal'
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
493 comp = 1;
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
494 case 'tangential'
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
495 comp = 2;
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
496 end
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
497 case {'s', 'n'}
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
498 switch comp_str
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
499 case 'normal'
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
500 comp = 2;
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
501 case 'tangential'
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
502 comp = 1;
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
503 end
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
504 end
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
505 end
b4fa176b4287 Elastic2dVariable: boundary condition type can now be a string, normal or tangential, as well as component number.
Martin Almquist <malmquist@stanford.edu>
parents: 974
diff changeset
506
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
507 % Returns the boundary operator op for the boundary specified by the string boundary.
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
508 % op: may be a cell array of strings
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
509 % Only operators with name *_tot can be used with multiblock.DiffOp.getBoundaryOperator()
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
510 function [varargout] = getBoundaryOperator(obj, op, boundary)
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
511
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
512 switch boundary
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
513 case {'w','W','west','West', 'e', 'E', 'east', 'East'}
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
514 j = 1;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
515 case {'s','S','south','South', 'n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
516 j = 2;
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
517 otherwise
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
518 error('No such boundary: boundary = %s',boundary);
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
519 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
520
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
521 if ~iscell(op)
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
522 op = {op};
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
523 end
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
524
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
525 for k = 1:length(op)
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
526 switch op{k}
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
527 case 'e'
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
528 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
529 case {'w','W','west','West','s','S','south','South'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
530 varargout{k} = obj.e_l{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
531 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
532 varargout{k} = obj.e_r{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
533 end
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
534
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
535 case 'e_tot'
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
536 e = obj.getBoundaryOperator('e', boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
537 I_dim = speye(obj.dim, obj.dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
538 varargout{k} = kron(e, I_dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
539
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
540 case 'd'
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
541 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
542 case {'w','W','west','West','s','S','south','South'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
543 varargout{k} = obj.d1_l{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
544 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
545 varargout{k} = obj.d1_r{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
546 end
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
547
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
548 case 'T'
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
549 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
550 case {'w','W','west','West','s','S','south','South'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
551 varargout{k} = obj.T_l{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
552 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
553 varargout{k} = obj.T_r{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
554 end
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
555
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
556 case 'tau'
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
557 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
558 case {'w','W','west','West','s','S','south','South'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
559 varargout{k} = obj.tau_l{j};
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
560 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
561 varargout{k} = obj.tau_r{j};
855
5751262b323b Add 1D quadrature matrices as property in Elastic2dVariable.
Martin Almquist <malmquist@stanford.edu>
parents: 795
diff changeset
562 end
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
563
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
564 case 'tau_tot'
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
565 [e, tau] = obj.getBoundaryOperator({'e', 'tau'}, boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
566
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
567 I_dim = speye(obj.dim, obj.dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
568 e_tot = kron(e, I_dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
569 E = obj.E;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
570 tau_tot = (e_tot'*E{1}*e*tau{1}')';
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
571 for i = 2:obj.dim
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
572 tau_tot = tau_tot + (e_tot'*E{i}*e*tau{i}')';
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
573 end
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
574 varargout{k} = tau_tot;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
575
963
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work.
Martin Almquist <malmquist@stanford.edu>
parents: 961
diff changeset
576 case 'H'
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work.
Martin Almquist <malmquist@stanford.edu>
parents: 961
diff changeset
577 varargout{k} = obj.H_boundary{j};
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
578
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
579 case 'alpha'
882
14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok.
Martin Almquist <malmquist@stanford.edu>
parents: 861
diff changeset
580 % alpha = alpha(i,j) is the penalty strength for displacement BC.
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
581 e = obj.getBoundaryOperator('e', boundary);
963
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work.
Martin Almquist <malmquist@stanford.edu>
parents: 961
diff changeset
582
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
583 LAMBDA = obj.LAMBDA;
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
584 MU = obj.MU;
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
585
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
586 dim = obj.dim;
919
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
587 theta_R = obj.theta_R{j};
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
588 theta_H = obj.theta_H{j};
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
589 theta_M = obj.theta_M{j};
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
590
919
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
591 a_lambda = dim/theta_H + 1/theta_R;
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
592 a_mu_i = 2/theta_M;
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
593 a_mu_ij = 2/theta_H + 1/theta_R;
861
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
594
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
595 d = @kroneckerDelta; % Kronecker delta
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation.
Martin Almquist <malmquist@stanford.edu>
parents: 855
diff changeset
596 db = @(i,j) 1-d(i,j); % Logical not of Kronecker delta
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
597 alpha = cell(obj.dim, obj.dim);
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
598
974
1c334842bf23 Extract tuning from alpha.
Martin Almquist <malmquist@stanford.edu>
parents: 973
diff changeset
599 alpha_func = @(i,j) d(i,j)* a_lambda*LAMBDA ...
1c334842bf23 Extract tuning from alpha.
Martin Almquist <malmquist@stanford.edu>
parents: 973
diff changeset
600 + d(i,j)* a_mu_i*MU ...
1c334842bf23 Extract tuning from alpha.
Martin Almquist <malmquist@stanford.edu>
parents: 973
diff changeset
601 + db(i,j)*a_mu_ij*MU;
959
c226fb8c2b8a Bugfix in Elastic2dVariable.getBoundaryOps, alpha. Adjoint FD conv works now!
Martin Almquist <malmquist@stanford.edu>
parents: 958
diff changeset
602 for i = 1:obj.dim
c226fb8c2b8a Bugfix in Elastic2dVariable.getBoundaryOps, alpha. Adjoint FD conv works now!
Martin Almquist <malmquist@stanford.edu>
parents: 958
diff changeset
603 for l = 1:obj.dim
963
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work.
Martin Almquist <malmquist@stanford.edu>
parents: 961
diff changeset
604 alpha{i,l} = d(i,l)*alpha_func(i,j)*e;
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
605 end
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
606 end
919
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops
Martin Almquist <malmquist@stanford.edu>
parents: 882
diff changeset
607
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
608 varargout{k} = alpha;
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
609
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
610 case 'alpha_tot'
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
611 % alpha = alpha(i,j) is the penalty strength for displacement BC.
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
612 [e, e_tot, alpha] = obj.getBoundaryOperator({'e', 'e_tot', 'alpha'}, boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
613 E = obj.E;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
614 [m, n] = size(alpha{1,1});
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
615 alpha_tot = sparse(m*obj.dim, n*obj.dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
616 for i = 1:obj.dim
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
617 for l = 1:obj.dim
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
618 alpha_tot = alpha_tot + (e_tot'*E{i}*e*alpha{i,l}'*E{l}')';
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
619 end
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
620 end
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
621 varargout{k} = alpha_tot;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
622
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
623 otherwise
958
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
Martin Almquist <malmquist@stanford.edu>
parents: 919
diff changeset
624 error(['No such operator: operator = ' op{k}]);
726
37d5d69b1a0d Refactor BC code in Elastic2dVariable
Martin Almquist <malmquist@stanford.edu>
parents: 689
diff changeset
625 end
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
626 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
627
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
628 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
629
970
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
630 function H = getBoundaryQuadrature(obj, boundary)
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
631 switch boundary
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
632 case {'w','W','west','West', 'e', 'E', 'east', 'East'}
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
633 j = 1;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
634 case {'s','S','south','South', 'n', 'N', 'north', 'North'}
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
635 j = 2;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
636 otherwise
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
637 error('No such boundary: boundary = %s',boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
638 end
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
639 H = obj.H_boundary{j};
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
640 I_dim = speye(obj.dim, obj.dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
641 H = kron(H, I_dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
642 end
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator.
Martin Almquist <malmquist@stanford.edu>
parents: 968
diff changeset
643
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
644 function N = size(obj)
734
eebe24a636c7 Make Elastic2dVariable.size account for components.
Martin Almquist <malmquist@stanford.edu>
parents: 730
diff changeset
645 N = obj.dim*prod(obj.m);
687
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
646 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
647 end
e8fc3aa1faf6 Rename elastic scheme.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
648 end