sbplib: +scheme/Elastic2dVariable.m annotate

annotate +scheme/Elastic2dVariable.m @ 1057:ff274c7404cc feature/poroelastic

In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there.

author	Martin Almquist <malmquist@stanford.edu>
date	Fri, 25 Jan 2019 15:52:21 -0800
parents	b4fa176b4287
children	84933722ec0e

rev	line source
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	1 classdef Elastic2dVariable < scheme.Scheme
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	2
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	3 % Discretizes the elastic wave equation:
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	4 % rho u_{i,tt} = di lambda dj u_j + dj mu di u_j + dj mu dj u_i
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	5 % opSet should be cell array of opSets, one per dimension. This
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	6 % is useful if we have periodic BC in one direction.
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	7
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	8 properties
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	9 m % Number of points in each direction, possibly a vector
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	10 h % Grid spacing
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	11
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	12 grid
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	13 dim
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	14
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	15 order % Order of accuracy for the approximation
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	16
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	17 % Diagonal matrices for varible coefficients
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	18 LAMBDA % Variable coefficient, related to dilation
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	19 MU % Shear modulus, variable coefficient
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	20 RHO, RHOi % Density, variable
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	21
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	22 D % Total operator
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	23 D1 % First derivatives
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	24
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	25 % Second derivatives
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	26 D2_lambda
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	27 D2_mu
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	28
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	29 % Traction operators used for BC
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	30 T_l, T_r
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	31 tau_l, tau_r
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	32
855 5751262b323b Add 1D quadrature matrices as property in Elastic2dVariable. Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	33 H, Hi, H_1D % Inner products
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	34 e_l, e_r
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	35
b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	36
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	37 d1_l, d1_r % Normal derivatives at the boundary
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	38 E % E{i}^T picks out component i
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	39
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	40 H_boundary % Boundary inner products
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	41
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	42 % Kroneckered norms and coefficients
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	43 RHOi_kron
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	44 Hi_kron
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	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 diff changeset	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 diff changeset	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 diff changeset	48 theta_H % First entry in norm matrix
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	49 theta_M % Borrowing d1^2 from M.
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	50
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	51 % Structures used for adjoint optimization
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	52 B
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	53 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	54
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	55 methods
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	56
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	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 diff changeset	58 function obj = Elastic2dVariable(g ,order, lambda, mu, rho, opSet)
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	59 default_arg('opSet',{@sbp.D2Variable, @sbp.D2Variable});
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	60 default_arg('lambda', @(x,y) 0*x+1);
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	61 default_arg('mu', @(x,y) 0*x+1);
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	62 default_arg('rho', @(x,y) 0*x+1);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	63 dim = 2;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	64
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	65 assert(isa(g, 'grid.Cartesian'))
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	66
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	67 if isa(lambda, 'function_handle')
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	68 lambda = grid.evalOn(g, lambda);
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	69 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	70 if isa(mu, 'function_handle')
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	71 mu = grid.evalOn(g, mu);
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	72 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	73 if isa(rho, 'function_handle')
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	74 rho = grid.evalOn(g, rho);
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	75 end
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	76
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	77 m = g.size();
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	78 m_tot = g.N();
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	79
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	80 h = g.scaling();
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	81 lim = g.lim;
729 aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	82 if isempty(lim)
aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	83 x = g.x;
aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	84 lim = cell(length(x),1);
aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	85 for i = 1:length(x)
aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	86 lim{i} = {min(x{i}), max(x{i})};
aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	87 end
aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	88 end
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	89
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	90 % 1D operators
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	91 ops = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	92 for i = 1:dim
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	93 ops{i} = opSet{i}(m(i), lim{i}, order);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	94 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	95
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	96 % Borrowing constants
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	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 diff changeset	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. Martin Almquist <malmquist@stanford.edu> parents: 861 diff changeset	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. Martin Almquist <malmquist@stanford.edu> parents: 861 diff changeset	100 obj.theta_M{i} = h(i)*ops{i}.borrowing.M.d1;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	101 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	102
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	103 I = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	104 D1 = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	105 D2 = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	106 H = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	107 Hi = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	108 e_l = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	109 e_r = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	110 d1_l = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	111 d1_r = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	112
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	113 for i = 1:dim
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	114 I{i} = speye(m(i));
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	115 D1{i} = ops{i}.D1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	116 D2{i} = ops{i}.D2;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	117 H{i} = ops{i}.H;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	118 Hi{i} = ops{i}.HI;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	119 e_l{i} = ops{i}.e_l;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	120 e_r{i} = ops{i}.e_r;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	121 d1_l{i} = ops{i}.d1_l;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	122 d1_r{i} = ops{i}.d1_r;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	123 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	124
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	125 %====== Assemble full operators ========
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	126 LAMBDA = spdiag(lambda);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	127 obj.LAMBDA = LAMBDA;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	128 MU = spdiag(mu);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	129 obj.MU = MU;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	130 RHO = spdiag(rho);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	131 obj.RHO = RHO;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	132 obj.RHOi = inv(RHO);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	133
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	134 obj.D1 = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	135 obj.D2_lambda = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	136 obj.D2_mu = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	137 obj.e_l = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	138 obj.e_r = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	139 obj.d1_l = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	140 obj.d1_r = cell(dim,1);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	141
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	142 % D1
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	143 obj.D1{1} = kron(D1{1},I{2});
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	144 obj.D1{2} = kron(I{1},D1{2});
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	145
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	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(dimm_tot,dimm_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}LAMBDAD1{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}MUD1{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}'LAMBDAe_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}'LAMBDAe_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}'MUe_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}'MUe_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_ld1_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_rd1_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);
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	365 e = obj.getBoundaryOperator('e', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	366 T = obj.getBoundaryOperator('T', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	367 tau = obj.getBoundaryOperator('tau', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	368 H_gamma = obj.getBoundaryOperator('H', boundary);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	369
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	370 E = obj.E;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	371 Hi = obj.Hi;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	372 LAMBDA = obj.LAMBDA;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	373 MU = obj.MU;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	374 RHOi = obj.RHOi;
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 dim = obj.dim;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	377 m_tot = obj.grid.N();
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	378
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	379 % Preallocate
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	380 closure = sparse(dimm_tot, dimm_tot);
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	381 penalty = sparse(dim*m_tot, m_tot/obj.m(j));
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	382
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	383 k = comp;
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	384 switch type
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	385
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	386 % 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	387 case {'D','d','dirichlet','Dirichlet'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	388
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	389 alpha = obj.getBoundaryOperator('alpha', boundary);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	390
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	391 % 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	392 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	393 C = transpose(T{k,i});
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	394 A = -tuningetranspose(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	395 B = A + e*C;
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	396 closure = closure + E{i}RHOiHiB'eH_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	397 penalty = penalty - E{i}RHOiHiB'e*H_gamma;
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	398 end
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	399
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	400 % 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	401 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	402 closure = closure - E{k}RHOiHieH_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	403 penalty = penalty + E{k}RHOiHieH_gamma;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	404
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	405 % 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	406 otherwise
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	407 error('No such boundary condition: type = %s',type);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	408 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	409 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	410
960 ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	411 % type Struct that specifies the interface coupling.
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	412 % Fields:
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	413 % -- tuning: penalty strength, defaults to 1.2
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	414 % -- interpolation: type of interpolation, default 'none'
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	415 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	416
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	417 defaultType.tuning = 1.2;
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	418 defaultType.interpolation = 'none';
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	419 default_struct('type', defaultType);
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	420
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	421 switch type.interpolation
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	422 case {'none', ''}
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	423 [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	424 case {'op','OP'}
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	425 [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	426 otherwise
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	427 error('Unknown type of interpolation: %s ', type.interpolation);
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	428 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	429 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	430
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	431 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	432 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	433
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	434 % u denotes the solution in the own domain
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	435 % v denotes the solution in the neighbour domain
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	436 % Operators without subscripts are from the own domain.
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	437
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	438 % Get boundary operators
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	439 e = obj.getBoundaryOperator('e_tot', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	440 tau = obj.getBoundaryOperator('tau_tot', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	441
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	442 e_v = neighbour_scheme.getBoundaryOperator('e_tot', neighbour_boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	443 tau_v = neighbour_scheme.getBoundaryOperator('tau_tot', neighbour_boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	444
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	445 H_gamma = obj.getBoundaryQuadrature(boundary);
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	446
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	447 % 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	448 Hi = obj.Hi_kron;
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	449 RHOi = obj.RHOi_kron;
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 % Penalty strength operators
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	452 alpha_u = 1/4tuningobj.getBoundaryOperator('alpha_tot', boundary);
1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	453 alpha_v = 1/4tuningneighbour_scheme.getBoundaryOperator('alpha_tot', neighbour_boundary);
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	454
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	455 closure = -RHOiHieH_gamma(alpha_u' + alpha_v'e_ve');
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	456 penalty = RHOiHieH_gamma(alpha_u'ee_v' + alpha_v');
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	457
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	458 closure = closure - 1/2RHOiHieH_gamma*tau';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	459 penalty = penalty - 1/2RHOiHieH_gamma*tau_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	460
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	461 closure = closure + 1/2RHOiHitauH_gamma*e';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	462 penalty = penalty - 1/2RHOiHitauH_gamma*e_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	463
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	464 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	465
960 ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	466 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	467 error('Non-conforming interfaces not implemented yet.');
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	468 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	469
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	470 % 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	471 function [j, nj] = get_boundary_number(obj, boundary)
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	472
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	473 switch boundary
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	474 case {'w','W','west','West', 'e', 'E', 'east', 'East'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	475 j = 1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	476 case {'s','S','south','South', 'n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	477 j = 2;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	478 otherwise
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	479 error('No such boundary: boundary = %s',boundary);
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
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	482 switch boundary
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	483 case {'w','W','west','West','s','S','south','South'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	484 nj = -1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	485 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	486 nj = 1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	487 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	488 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	489
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	490 % 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	491 % 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	492 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	493 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	494 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	495
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 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	497 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	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 = 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	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 = 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	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 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	505 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	506 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	507 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	508 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	509 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	510 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	511 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	512 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	513
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	514 % Returns the boundary operator op for the boundary specified by the string boundary.
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	515 % op -- string
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	516 % Only operators with name *_tot can be used with multiblock.DiffOp.getBoundaryOperator()
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	517 function o = getBoundaryOperator(obj, op, boundary)
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	518 assertIsMember(boundary, {'w', 'e', 's', 'n'})
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	519 assertIsMember(op, {'e', 'e_tot', 'd', 'T', 'tau', 'tau_tot', 'H', 'alpha', 'alpha_tot'})
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	520
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	521 switch boundary
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	522 case {'w', 'e'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	523 j = 1;
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	524 case {'s', 'n'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	525 j = 2;
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	526 end
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	527
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	528 switch op
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	529 case 'e'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	530 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	531 case {'w', 's'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	532 o = obj.e_l{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	533 case {'e', 'n'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	534 o = obj.e_r{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	535 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	536
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	537 case 'e_tot'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	538 e = obj.getBoundaryOperator('e', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	539 I_dim = speye(obj.dim, obj.dim);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	540 o = kron(e, I_dim);
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	541
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	542 case 'd'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	543 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	544 case {'w', 's'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	545 o = obj.d1_l{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	546 case {'e', 'n'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	547 o = obj.d1_r{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	548 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	549
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	550 case 'T'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	551 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	552 case {'w', 's'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	553 o = obj.T_l{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	554 case {'e', 'n'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	555 o = obj.T_r{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	556 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	557
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	558 case 'tau'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	559 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	560 case {'w', 's'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	561 o = obj.tau_l{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	562 case {'e', 'n'}
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	563 o = obj.tau_r{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	564 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	565
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	566 case 'tau_tot'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	567 e = obj.getBoundaryOperator('e', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	568 tau = obj.getBoundaryOperator('tau', 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	569
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	570 I_dim = speye(obj.dim, obj.dim);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	571 e_tot = kron(e, I_dim);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	572 E = obj.E;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	573 tau_tot = (e_tot'E{1}e*tau{1}')';
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	574 for i = 2:obj.dim
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	575 tau_tot = tau_tot + (e_tot'E{i}e*tau{i}')';
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	576 end
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	577 o = tau_tot;
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
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	579 case 'H'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	580 o = obj.H_boundary{j};
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	581
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	582 case 'alpha'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	583 % alpha = alpha(i,j) is the penalty strength for displacement BC.
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	584 e = obj.getBoundaryOperator('e', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	585
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	586 LAMBDA = obj.LAMBDA;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	587 MU = obj.MU;
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	588
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	589 dim = obj.dim;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	590 theta_R = obj.theta_R{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	591 theta_H = obj.theta_H{j};
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	592 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	593
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	594 a_lambda = dim/theta_H + 1/theta_R;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	595 a_mu_i = 2/theta_M;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	596 a_mu_ij = 2/theta_H + 1/theta_R;
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
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	598 d = @kroneckerDelta; % Kronecker delta
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	599 db = @(i,j) 1-d(i,j); % Logical not of Kronecker delta
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	600 alpha = cell(obj.dim, obj.dim);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	601
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	602 alpha_func = @(i,j) d(i,j)* a_lambda*LAMBDA ...
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	603 + d(i,j)* a_mu_i*MU ...
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	604 + db(i,j)a_mu_ijMU;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	605 for i = 1:obj.dim
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	606 for l = 1:obj.dim
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	607 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	608 end
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	609 end
919 e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	610
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	611 o = 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	612
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	613 case 'alpha_tot'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	614 % alpha = alpha(i,j) is the penalty strength for displacement BC.
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	615 e = obj.getBoundaryOperator('e', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	616 e_tot = obj.getBoundaryOperator('e_tot', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	617 alpha = obj.getBoundaryOperator('alpha', boundary);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	618 E = obj.E;
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	619 [m, n] = size(alpha{1,1});
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	620 alpha_tot = sparse(mobj.dim, nobj.dim);
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	621 for i = 1:obj.dim
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	622 for l = 1:obj.dim
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	623 alpha_tot = alpha_tot + (e_tot'E{i}ealpha{i,l}'E{l}')';
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	624 end
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	625 end
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	626 o = alpha_tot;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	627 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	628
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	629 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	630
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	631 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	632 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	633 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	634 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	635 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	636 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	637 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	638 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	639 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	640 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	641 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	642 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	643 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	644
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	645 function N = size(obj)
734 eebe24a636c7 Make Elastic2dVariable.size account for components. Martin Almquist <malmquist@stanford.edu> parents: 730 diff changeset	646 N = obj.dim*prod(obj.m);
687 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
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	649 end

Mercurial > repos > public > sbplib

annotate +scheme/Elastic2dVariable.m @ 1057:ff274c7404cc feature/poroelastic