sbplib: +scheme/Elastic2dVariable.m annotate

annotate +scheme/Elastic2dVariable.m @ 974:1c334842bf23 feature/poroelastic

Extract tuning from alpha.

author	Martin Almquist <malmquist@stanford.edu>
date	Tue, 25 Dec 2018 16:39:06 +0100
parents	f5a99cca4654
children	b4fa176b4287

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
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	347 % on the first component.
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	348 % 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	349 % neighbour_scheme is an instance of Scheme that should be interfaced to.
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	350 % 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	351 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	352 default_arg('tuning', 1.2);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	353
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	354 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	355 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	356 type = bc{2};
729 aa8cf3851de8 Update multiblock.DiffOp to work for systems. Martin Almquist <malmquist@stanford.edu> parents: 727 diff changeset	357
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	358 % j is the coordinate direction of the boundary
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	359 j = obj.get_boundary_number(boundary);
970 23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	360 [e, T, tau, H_gamma] = obj.getBoundaryOperator({'e','T','tau','H'}, boundary);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	361
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	362
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	363 E = obj.E;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	364 Hi = obj.Hi;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	365 LAMBDA = obj.LAMBDA;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	366 MU = obj.MU;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	367 RHOi = obj.RHOi;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	368
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	369 dim = obj.dim;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	370 m_tot = obj.grid.N();
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	371
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	372 % Preallocate
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	373 closure = sparse(dimm_tot, dimm_tot);
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	374 penalty = sparse(dim*m_tot, m_tot/obj.m(j));
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	375
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	376 k = comp;
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	377 switch type
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	378
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	379 % 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	380 case {'D','d','dirichlet','Dirichlet'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	381
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	382 alpha = obj.getBoundaryOperator('alpha', boundary);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	383
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	384 % 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	385 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	386 C = transpose(T{k,i});
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	387 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	388 B = A + e*C;
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	389 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	390 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	391 end
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	392
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	393 % 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	394 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	395 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	396 penalty = penalty + E{k}RHOiHieH_gamma;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	397
795 1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	398 % 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	399 otherwise
1f6b2fb69225 Revert bcSetup and update bc functions in elastic schemes to be compatible. Martin Almquist <malmquist@stanford.edu> parents: 738 diff changeset	400 error('No such boundary condition: type = %s',type);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	401 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	402 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	403
960 ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	404 % type Struct that specifies the interface coupling.
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	405 % Fields:
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	406 % -- tuning: penalty strength, defaults to 1.2
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	407 % -- interpolation: type of interpolation, default 'none'
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	408 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	409
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	410 defaultType.tuning = 1.2;
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	411 defaultType.interpolation = 'none';
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	412 default_struct('type', defaultType);
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	413
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	414 switch type.interpolation
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	415 case {'none', ''}
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	416 [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	417 case {'op','OP'}
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	418 [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	419 otherwise
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	420 error('Unknown type of interpolation: %s ', type.interpolation);
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	421 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	422 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	423
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	424 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	425 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	426
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	427 % u denotes the solution in the own domain
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	428 % v denotes the solution in the neighbour domain
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	429 % Operators without subscripts are from the own domain.
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	430
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	431 % Get boundary operators
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	432 [e, tau] = obj.getBoundaryOperator({'e_tot','tau_tot'}, boundary);
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	433 [e_v, tau_v] = neighbour_scheme.getBoundaryOperator({'e_tot','tau_tot'}, neighbour_boundary);
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	434 H_gamma = obj.getBoundaryQuadrature(boundary);
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	435
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	436 % 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	437 Hi = obj.Hi_kron;
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	438 RHOi = obj.RHOi_kron;
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	439
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	440 % Penalty strength operators
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	441 alpha_u = 1/4tuningobj.getBoundaryOperator('alpha_tot', boundary);
1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	442 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	443
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	444 closure = -RHOiHieH_gamma(alpha_u' + alpha_v'e_ve');
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	445 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	446
972 104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	447 closure = closure - 1/2RHOiHieH_gamma*tau';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	448 penalty = penalty - 1/2RHOiHieH_gamma*tau_v';
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 closure = closure + 1/2RHOiHitauH_gamma*e';
104f0af001e0 Clean up Elastic2dVariable.interfaceStandard Martin Almquist <malmquist@stanford.edu> parents: 970 diff changeset	451 penalty = penalty - 1/2RHOiHitauH_gamma*e_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	452
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	453 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	454
960 ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	455 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	456 error('Non-conforming interfaces not implemented yet.');
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	457 end
ac566f3dc9b3 Add type to Elastic2dVariable.interface Martin Almquist <malmquist@stanford.edu> parents: 959 diff changeset	458
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	459 % Returns the coordinate number and outward normal component for the boundary specified by the string boundary.
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	460 function [j, nj] = get_boundary_number(obj, boundary)
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	461
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	462 switch boundary
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	463 case {'w','W','west','West', 'e', 'E', 'east', 'East'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	464 j = 1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	465 case {'s','S','south','South', 'n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	466 j = 2;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	467 otherwise
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	468 error('No such boundary: boundary = %s',boundary);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	469 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	470
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	471 switch boundary
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	472 case {'w','W','west','West','s','S','south','South'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	473 nj = -1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	474 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	475 nj = 1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	476 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	477 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	478
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	479 % Returns the boundary operator op for the boundary specified by the string boundary.
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	480 % op: may be a cell array of strings
970 23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	481 % Only operators with name *_tot can be used with multiblock.DiffOp.getBoundaryOperator()
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	482 function [varargout] = getBoundaryOperator(obj, op, boundary)
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	483
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	484 switch boundary
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	485 case {'w','W','west','West', 'e', 'E', 'east', 'East'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	486 j = 1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	487 case {'s','S','south','South', 'n', 'N', 'north', 'North'}
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	488 j = 2;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	489 otherwise
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	490 error('No such boundary: boundary = %s',boundary);
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	491 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	492
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	493 if ~iscell(op)
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	494 op = {op};
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	495 end
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	496
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	497 for k = 1:length(op)
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	498 switch op{k}
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	499 case 'e'
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	500 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	501 case {'w','W','west','West','s','S','south','South'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	502 varargout{k} = obj.e_l{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	503 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	504 varargout{k} = obj.e_r{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	505 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	506
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	507 case 'e_tot'
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	508 e = obj.getBoundaryOperator('e', boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	509 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	510 varargout{k} = kron(e, I_dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	511
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	512 case 'd'
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	513 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	514 case {'w','W','west','West','s','S','south','South'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	515 varargout{k} = obj.d1_l{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	516 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	517 varargout{k} = obj.d1_r{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	518 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	519
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	520 case 'T'
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	521 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	522 case {'w','W','west','West','s','S','south','South'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	523 varargout{k} = obj.T_l{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	524 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	525 varargout{k} = obj.T_r{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	526 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	527
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	528 case 'tau'
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	529 switch boundary
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	530 case {'w','W','west','West','s','S','south','South'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	531 varargout{k} = obj.tau_l{j};
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	532 case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'}
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	533 varargout{k} = obj.tau_r{j};
855 5751262b323b Add 1D quadrature matrices as property in Elastic2dVariable. Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	534 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	535
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 case 'tau_tot'
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	537 [e, tau] = obj.getBoundaryOperator({'e', 'tau'}, boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	538
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	539 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	540 e_tot = kron(e, I_dim);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	541 E = obj.E;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	542 tau_tot = (e_tot'E{1}e*tau{1}')';
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	543 for i = 2:obj.dim
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	544 tau_tot = tau_tot + (e_tot'E{i}e*tau{i}')';
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	545 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	546 varargout{k} = tau_tot;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	547
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	548 case 'H'
c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work. Martin Almquist <malmquist@stanford.edu> parents: 961 diff changeset	549 varargout{k} = obj.H_boundary{j};
970 23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	550
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	551 case 'alpha'
882 14fee299ada2 In Elastic2dVariable: Improve notation for borrowing constants. Update interface constant to match corrected derivation. Tests ok. Martin Almquist <malmquist@stanford.edu> parents: 861 diff changeset	552 % alpha = alpha(i,j) is the penalty strength for displacement BC.
970 23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	553 e = obj.getBoundaryOperator('e', boundary);
963 c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work. Martin Almquist <malmquist@stanford.edu> parents: 961 diff changeset	554
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	555 LAMBDA = obj.LAMBDA;
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	556 MU = obj.MU;
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	557
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	558 dim = obj.dim;
919 e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	559 theta_R = obj.theta_R{j};
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	560 theta_H = obj.theta_H{j};
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	561 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	562
919 e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	563 a_lambda = dim/theta_H + 1/theta_R;
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	564 a_mu_i = 2/theta_M;
e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	565 a_mu_ij = 2/theta_H + 1/theta_R;
861 607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	566
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	567 d = @kroneckerDelta; % Kronecker delta
607c631f175e Small changes to Elastic2dVariable to facilitate adjoing gradient computation. Martin Almquist <malmquist@stanford.edu> parents: 855 diff changeset	568 db = @(i,j) 1-d(i,j); % Logical not of Kronecker delta
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	569 alpha = cell(obj.dim, obj.dim);
72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	570
974 1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	571 alpha_func = @(i,j) d(i,j)* a_lambda*LAMBDA ...
1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	572 + d(i,j)* a_mu_i*MU ...
1c334842bf23 Extract tuning from alpha. Martin Almquist <malmquist@stanford.edu> parents: 973 diff changeset	573 + db(i,j)a_mu_ijMU;
959 c226fb8c2b8a Bugfix in Elastic2dVariable.getBoundaryOps, alpha. Adjoint FD conv works now! Martin Almquist <malmquist@stanford.edu> parents: 958 diff changeset	574 for i = 1:obj.dim
c226fb8c2b8a Bugfix in Elastic2dVariable.getBoundaryOps, alpha. Adjoint FD conv works now! Martin Almquist <malmquist@stanford.edu> parents: 958 diff changeset	575 for l = 1:obj.dim
963 c75ddd568fcc Turn alpha into a boundary operator. Add properties H_w etc for getBoundaryQuadrature to work. Martin Almquist <malmquist@stanford.edu> parents: 961 diff changeset	576 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	577 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	578 end
919 e30aaa4a3e09 Bugfix in Elastic2dVariable.get_boundary_ops Martin Almquist <malmquist@stanford.edu> parents: 882 diff changeset	579
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	580 varargout{k} = alpha;
970 23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	581
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	582 case 'alpha_tot'
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	583 % alpha = alpha(i,j) is the penalty strength for displacement BC.
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	584 [e, e_tot, alpha] = obj.getBoundaryOperator({'e', 'e_tot', 'alpha'}, boundary);
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	585 E = obj.E;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	586 [m, n] = size(alpha{1,1});
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	587 alpha_tot = sparse(mobj.dim, nobj.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	588 for i = 1:obj.dim
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	589 for l = 1:obj.dim
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	590 alpha_tot = alpha_tot + (e_tot'E{i}ealpha{i,l}'E{l}')';
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	591 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	592 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	593 varargout{k} = alpha_tot;
23d9ca6755be Add getBoundaryQuadrature in Elastic2dVariable. Rename get_boundary_operator -> getBoundaryOperator. Add operators in getBoundaryOperator, with full size so that they work with multiblock.DiffOp.getBoundaryOperator. Martin Almquist <malmquist@stanford.edu> parents: 968 diff changeset	594
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	595 otherwise
958 72cd29107a9a Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug! Martin Almquist <malmquist@stanford.edu> parents: 919 diff changeset	596 error(['No such operator: operator = ' op{k}]);
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	597 end
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	598 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	599
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	600 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	601
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	602 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	603 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	604 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	605 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	606 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	607 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	608 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	609 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	610 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	611 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	612 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	613 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	614 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	615
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	616 function N = size(obj)
734 eebe24a636c7 Make Elastic2dVariable.size account for components. Martin Almquist <malmquist@stanford.edu> parents: 730 diff changeset	617 N = obj.dim*prod(obj.m);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	618 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	619 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	620 end

Mercurial > repos > public > sbplib

annotate +scheme/Elastic2dVariable.m @ 974:1c334842bf23 feature/poroelastic