sbplib: +scheme/Elastic2dVariable.m annotate

annotate +scheme/Elastic2dVariable.m @ 1058:84933722ec0e feature/poroelastic

Remove superfluous method get_boundary_number in Elastic2dVariable

author	Martin Almquist <malmquist@stanford.edu>
date	Fri, 25 Jan 2019 16:35:53 -0800
parents	ff274c7404cc
children	d8ab528f10f6

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
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	363 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	364 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	365 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	366 H_gamma = obj.getBoundaryOperator('H', boundary);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	367
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	368 E = obj.E;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	369 Hi = obj.Hi;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	370 LAMBDA = obj.LAMBDA;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	371 MU = obj.MU;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	372 RHOi = obj.RHOi;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	373
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	374 dim = obj.dim;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	375 m_tot = obj.grid.N();
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	376
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	377 % Preallocate
1058 84933722ec0e Remove superfluous method get_boundary_number in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 1057 diff changeset	378 [~, col] = size(tau{comp});
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	379 closure = sparse(dimm_tot, dimm_tot);
1058 84933722ec0e Remove superfluous method get_boundary_number in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 1057 diff changeset	380 penalty = sparse(dim*m_tot, col);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	381
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	382 k = comp;
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	383 switch type
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	384
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	385 % 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	386 case {'D','d','dirichlet','Dirichlet'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	387
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	388 alpha = obj.getBoundaryOperator('alpha', boundary);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	389
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	390 % 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	391 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	392 C = transpose(T{k,i});
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	393 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	394 B = A + e*C;
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	395 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	396 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	397 end
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	398
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	399 % 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	400 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	401 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	402 penalty = penalty + E{k}RHOiHieH_gamma;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	403
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	404 % 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	405 otherwise
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	406 error('No such boundary condition: type = %s',type);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	407 end
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
960 ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	410 % type Struct that specifies the interface coupling.
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	411 % Fields:
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	412 % -- tuning: penalty strength, defaults to 1.2
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	413 % -- interpolation: type of interpolation, default 'none'
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	414 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	415
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	416 defaultType.tuning = 1.2;
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	417 defaultType.interpolation = 'none';
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	418 default_struct('type', defaultType);
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	419
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	420 switch type.interpolation
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	421 case {'none', ''}
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	422 [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	423 case {'op','OP'}
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	424 [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	425 otherwise
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	426 error('Unknown type of interpolation: %s ', type.interpolation);
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	427 end
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
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	430 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	431 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	432
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	433 % u denotes the solution in the own domain
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	434 % v denotes the solution in the neighbour domain
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	435 % Operators without subscripts are from the own domain.
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	436
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	437 % 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	438 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	439 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	440
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	441 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	442 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	443
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	444 H_gamma = obj.getBoundaryQuadrature(boundary);
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	445
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	446 % 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	447 Hi = obj.Hi_kron;
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	448 RHOi = obj.RHOi_kron;
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	449
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	450 % Penalty strength operators
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	451 alpha_u = 1/4tuningobj.getBoundaryOperator('alpha_tot', boundary);
1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	452 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	453
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	454 closure = -RHOiHieH_gamma(alpha_u' + alpha_v'e_ve');
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	455 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	456
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	457 closure = closure - 1/2RHOiHieH_gamma*tau';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	458 penalty = penalty - 1/2RHOiHieH_gamma*tau_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	459
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	460 closure = closure + 1/2RHOiHitauH_gamma*e';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	461 penalty = penalty - 1/2RHOiHitauH_gamma*e_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	462
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	463 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	464
960 ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	465 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	466 error('Non-conforming interfaces not implemented yet.');
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	467 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	468
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	469 % 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	470 % 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	471 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	472 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	473 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	474
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	475 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	476 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	477 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	478 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	479 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	480 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	481 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	482 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	483 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	484 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	485 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	486 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	487 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	488 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	489 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	490 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	491 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	492
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	493 % 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	494 % 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	495 % 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	496 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	497 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	498 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	499
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	500 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	501 case {'w', 'e'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	502 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	503 case {'s', 'n'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	504 j = 2;
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	505 end
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	506
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	507 switch op
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	508 case 'e'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	509 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	510 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	511 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	512 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	513 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	514 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	515
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	516 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	517 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	518 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	519 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	520
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	521 case 'd'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	522 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	523 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	524 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	525 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	526 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	527 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	528
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	529 case 'T'
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.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	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.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	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 'tau'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	538 switch boundary
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	539 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	540 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	541 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	542 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	543 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	544
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	545 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	546 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	547 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	548
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	549 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	550 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	551 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	552 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	553 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	554 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	555 end
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	556 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	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 'H'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	559 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	560
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	561 case 'alpha'
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	562 % 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	563 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	564
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	565 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	566 MU = obj.MU;
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	567
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	568 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	569 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	570 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	571 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	572
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	573 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	574 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	575 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	576
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	577 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	578 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	579 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	580
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	581 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	582 + 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	583 + 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	584 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	585 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	586 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	587 end
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	588 end
919 e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	589
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	590 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	591
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	592 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	593 % 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	594 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	595 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	596 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	597 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	598 [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	599 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	600 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	601 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	602 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	603 end
1057 ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	604 end
ff274c7404cc In Elastic2dVariable: copy-paste from feature/getBoundaryOp and fix bugs introduced there. Martin Almquist <malmquist@stanford.edu> parents: 1056 diff changeset	605 o = alpha_tot;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	606 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	607
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	608 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	609
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	610 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	611 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	612 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	613 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	614 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	615 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	616 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	617 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	618 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	619 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	620 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	621 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	622 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	623
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	624 function N = size(obj)
734 eebe24a636c7 Make Elastic2dVariable.size account for components. Martin Almquist <malmquist@stanford.edu> parents: 730 diff changeset	625 N = obj.dim*prod(obj.m);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	626 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	627 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	628 end

Mercurial > repos > public > sbplib

annotate +scheme/Elastic2dVariable.m @ 1058:84933722ec0e feature/poroelastic