sbplib: +scheme/Elastic2dVariable.m annotate

annotate +scheme/Elastic2dVariable.m @ 1198:2924b3a9b921 feature/d2_compatible

Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.

author	Martin Almquist <malmquist@stanford.edu>
date	Fri, 16 Aug 2019 14:30:28 -0700
parents	19d821ddc108
children	60c875c18de3

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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	33 H, Hi, H_1D % Inner products
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	45
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	46 % Borrowing constants of the form gamma*h, where gamma is a dimensionless constant.
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	47 theta_R % Borrowing (d1- D1)^2 from R
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	48 theta_H % First entry in norm matrix
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	49 theta_M % Borrowing d1^2 from M.
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	50
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	51 % Structures used for adjoint optimization
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	57 % The coefficients can either be function handles or grid functions
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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});
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	60 default_arg('lambda', @(x,y) 0*x+1);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	61 default_arg('mu', @(x,y) 0*x+1);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	67 if isa(lambda, 'function_handle')
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	68 lambda = grid.evalOn(g, lambda);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	69 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	70 if isa(mu, 'function_handle')
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	71 mu = grid.evalOn(g, mu);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	72 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	73 if isa(rho, 'function_handle')
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	74 rho = grid.evalOn(g, rho);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	75 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	98 obj.theta_R{i} = h(i)*ops{i}.borrowing.R.delta_D;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	99 obj.theta_H{i} = h(i)*ops{i}.borrowing.H11;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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};
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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;
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	243 LAMBDA_l = e_l{j}'LAMBDAe_l{j};
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	244 LAMBDA_r = e_r{j}'LAMBDAe_r{j};
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	245 MU_l = e_l{j}'MUe_l{j};
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	246 MU_r = e_r{j}'MUe_r{j};
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	247
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	248 [~, n_l] = size(e_l{j});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	249 [~, n_r] = size(e_r{j});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	253 tau_l{j}{i} = sparse(n_l, dim*m_tot);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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} = ...
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	257 -d(i,j)LAMBDA_l(d(i,k)d1_l{j}' + db(i,k)e_l{j}'*D1{k})...
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	258 -d(j,k)MU_l(d(i,j)d1_l{j}' + db(i,j)e_l{j}'*D1{i})...
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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} = ...
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	262 d(i,j)LAMBDA_r(d(i,k)d1_r{j}' + db(i,k)e_r{j}'*D1{k})...
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	263 +d(j,k)MU_r(d(i,j)d1_r{j}' + db(i,j)e_r{j}'*D1{i})...
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	272
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	273 % Transpose T and tau to match boundary operator convention
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	274 for i = 1:dim
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	275 for j = 1:dim
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	276 tau_l{i}{j} = transpose(tau_l{i}{j});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	277 tau_r{i}{j} = transpose(tau_r{i}{j});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	278 for k = 1:dim
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	279 T_l{i}{j,k} = transpose(T_l{i}{j,k});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	280 T_r{i}{j,k} = transpose(T_r{i}{j,k});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	281 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	282 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	283 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	302 % B, used for adjoint optimization
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	303 B = cell(dim, 1);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	304 for i = 1:dim
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	305 B{i} = cell(m_tot, 1);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	306 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	307
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	308 for i = 1:dim
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	309 for j = 1:m_tot
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	310 B{i}{j} = sparse(m_tot, m_tot);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	311 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	312 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	313
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	314 ind = grid.funcToMatrix(g, 1:m_tot);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	315
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	316 % Direction 1
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	317 for k = 1:m(1)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	318 c = sparse(m(1),1);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	319 c(k) = 1;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	320 [~, B_1D] = ops{1}.D2(c);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	321 for l = 1:m(2)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	322 p = ind(:,l);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	323 B{1}{(k-1)*m(2) + l}(p, p) = B_1D;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	324 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	325 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	326
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	327 % Direction 2
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	328 for k = 1:m(2)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	329 c = sparse(m(2),1);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	330 c(k) = 1;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	331 [~, B_1D] = ops{2}.D2(c);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	332 for l = 1:m(1)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	333 p = ind(l,:);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	334 B{2}{(l-1)*m(2) + k}(p, p) = B_1D;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	335 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	336 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	337
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	338 obj.B = B;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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);
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	360 [e, T, tau, H_gamma] = obj.getBoundaryOperator({'e','T','tau','H'}, boundary);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	361
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	362
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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	386 C = transpose(T{k,i});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	387 A = -tuningetranspose(alpha{i,k});
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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'}
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	404 % type Struct that specifies the interface coupling.
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	405 % Fields:
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	406 % -- tuning: penalty strength, defaults to 1.2
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	407 % -- interpolation: type of interpolation, default 'none'
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	408 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary,type)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	409
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	410 defaultType.tuning = 1.2;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	411 defaultType.interpolation = 'none';
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	412 default_struct('type', defaultType);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	413
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	414 switch type.interpolation
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	415 case {'none', ''}
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	416 [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	417 case {'op','OP'}
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	418 [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	419 otherwise
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	420 error('Unknown type of interpolation: %s ', type.interpolation);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	421 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	422 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	423
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	424 function [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	425 tuning = type.tuning;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 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
1050 19d821ddc108 Fix mistakes in adbb80e60b10 Martin Almquist <malmquist@stanford.edu> parents: 1048 diff changeset	432 e = obj.getBoundaryOperator('e_tot', boundary);
19d821ddc108 Fix mistakes in adbb80e60b10 Martin Almquist <malmquist@stanford.edu> parents: 1048 diff changeset	433 tau = obj.getBoundaryOperator('tau_tot', boundary);
19d821ddc108 Fix mistakes in adbb80e60b10 Martin Almquist <malmquist@stanford.edu> parents: 1048 diff changeset	434
19d821ddc108 Fix mistakes in adbb80e60b10 Martin Almquist <malmquist@stanford.edu> parents: 1048 diff changeset	435 e_v = neighbour_scheme.getBoundaryOperator('e_tot', neighbour_boundary);
19d821ddc108 Fix mistakes in adbb80e60b10 Martin Almquist <malmquist@stanford.edu> parents: 1048 diff changeset	436 tau_v = neighbour_scheme.getBoundaryOperator('tau_tot', neighbour_boundary);
19d821ddc108 Fix mistakes in adbb80e60b10 Martin Almquist <malmquist@stanford.edu> parents: 1048 diff changeset	437
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	438 H_gamma = obj.getBoundaryQuadrature(boundary);
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	439
6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	440 % Operators and quantities that correspond to the own domain only
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	441 Hi = obj.Hi_kron;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	442 RHOi = obj.RHOi_kron;
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	443
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	444 % Penalty strength operators
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	445 alpha_u = 1/4tuningobj.getBoundaryOperator('alpha_tot', boundary);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	446 alpha_v = 1/4tuningneighbour_scheme.getBoundaryOperator('alpha_tot', neighbour_boundary);
813 b374a8aa9246 Correct interface penalty strength in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 795 diff changeset	447
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	448 closure = -RHOiHieH_gamma(alpha_u' + alpha_v'e_ve');
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	449 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	450
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	451 closure = closure - 1/2RHOiHieH_gamma*tau';
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	452 penalty = penalty - 1/2RHOiHieH_gamma*tau_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	453
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	454 closure = closure + 1/2RHOiHitauH_gamma*e';
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	455 penalty = penalty - 1/2RHOiHitauH_gamma*e_v';
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	456
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	457 end
727 6d5953fc090e First implementation of elastic interface Martin Almquist <malmquist@stanford.edu> parents: 726 diff changeset	458
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	459 function [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type)
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	460 error('Non-conforming interfaces not implemented yet.');
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	461 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	462
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	463 % Returns the coordinate number and outward normal component for the boundary specified by the string boundary.
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	464 function [j, nj] = get_boundary_number(obj, boundary)
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	465 assertIsMember(boundary, {'w', 'e', 's', 'n'})
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	466
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	467 switch boundary
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	468 case {'w', 'e'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	469 j = 1;
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	470 case {'s', 'n'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	471 j = 2;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	472 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	473
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	474 switch boundary
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	475 case {'w', 's'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	476 nj = -1;
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	477 case {'e', 'n'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	478 nj = 1;
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	479 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	480 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	481
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	482 % Returns the boundary operator op for the boundary specified by the string boundary.
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	483 % op -- string
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	484 % Only operators with name *_tot can be used with multiblock.DiffOp.getBoundaryOperator()
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	485 function [varargout] = getBoundaryOperator(obj, op, boundary)
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	486 assertIsMember(boundary, {'w', 'e', 's', 'n'})
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	487 assertIsMember(op, {'e', 'e_tot', 'd', 'T', 'tau', 'tau_tot', 'H', 'alpha', 'alpha_tot'})
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	488
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	489 switch boundary
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	490 case {'w', 'e'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	491 j = 1;
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	492 case {'s', 'n'}
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	493 j = 2;
726 37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	494 end
37d5d69b1a0d Refactor BC code in Elastic2dVariable Martin Almquist <malmquist@stanford.edu> parents: 689 diff changeset	495
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	496 switch op
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	497 case 'e'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	498 switch boundary
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	499 case {'w', 's'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	500 o = obj.e_l{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	501 case {'e', 'n'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	502 o = obj.e_r{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	503 end
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	504
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	505 case 'e_tot'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	506 e = obj.getBoundaryOperator('e', boundary);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	507 I_dim = speye(obj.dim, obj.dim);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	508 o = kron(e, I_dim);
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	509
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	510 case 'd'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	511 switch boundary
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	512 case {'w', 's'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	513 o = obj.d1_l{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	514 case {'e', 'n'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	515 o = obj.d1_r{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	516 end
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	517
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	518 case 'T'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	519 switch boundary
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	520 case {'w', 's'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	521 o = obj.T_l{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	522 case {'e', 'n'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	523 o = obj.T_r{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	524 end
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	525
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	526 case 'tau'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	527 switch boundary
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	528 case {'w', 's'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	529 o = obj.tau_l{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	530 case {'e', 'n'}
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	531 o = obj.tau_r{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	532 end
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	533
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	534 case 'tau_tot'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	535 [e, tau] = obj.getBoundaryOperator({'e', 'tau'}, boundary);
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	536
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	537 I_dim = speye(obj.dim, obj.dim);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	538 e_tot = kron(e, I_dim);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	539 E = obj.E;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	540 tau_tot = (e_tot'E{1}e*tau{1}')';
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	541 for i = 2:obj.dim
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	542 tau_tot = tau_tot + (e_tot'E{i}e*tau{i}')';
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	543 end
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	544 o = tau_tot;
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	545
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	546 case 'H'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	547 o = obj.H_boundary{j};
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	548
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	549 case 'alpha'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	550 % alpha = alpha(i,j) is the penalty strength for displacement BC.
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	551 e = obj.getBoundaryOperator('e', boundary);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	552
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	553 LAMBDA = obj.LAMBDA;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	554 MU = obj.MU;
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	555
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	556 dim = obj.dim;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	557 theta_R = obj.theta_R{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	558 theta_H = obj.theta_H{j};
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	559 theta_M = obj.theta_M{j};
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	560
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	561 a_lambda = dim/theta_H + 1/theta_R;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	562 a_mu_i = 2/theta_M;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	563 a_mu_ij = 2/theta_H + 1/theta_R;
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	564
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	565 d = @kroneckerDelta; % Kronecker delta
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	566 db = @(i,j) 1-d(i,j); % Logical not of Kronecker delta
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	567 alpha = cell(obj.dim, obj.dim);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	568
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	569 alpha_func = @(i,j) d(i,j)* a_lambda*LAMBDA ...
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	570 + d(i,j)* a_mu_i*MU ...
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	571 + db(i,j)a_mu_ijMU;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	572 for i = 1:obj.dim
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	573 for l = 1:obj.dim
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	574 alpha{i,l} = d(i,l)alpha_func(i,j)e;
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	575 end
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	576 end
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	577
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	578 o = alpha;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	579
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	580 case 'alpha_tot'
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	581 % alpha = alpha(i,j) is the penalty strength for displacement BC.
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	582 [e, e_tot, alpha] = obj.getBoundaryOperator({'e', 'e_tot', 'alpha'}, boundary);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	583 E = obj.E;
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	584 [m, n] = size(alpha{1,1});
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	585 alpha_tot = sparse(mobj.dim, nobj.dim);
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	586 for i = 1:obj.dim
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	587 for l = 1:obj.dim
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	588 alpha_tot = alpha_tot + (e_tot'E{i}ealpha{i,l}'E{l}')';
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	589 end
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	590 end
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	591 o = alpha_tot;
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	592 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	593
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	594 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	595
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	596 % Returns square boundary quadrature matrix, of dimension
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	597 % corresponding to the number of boundary points
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	598 %
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	599 % boundary -- string
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	600 function H = getBoundaryQuadrature(obj, boundary)
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	601 assertIsMember(boundary, {'w', 'e', 's', 'n'})
adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	602
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	603 switch boundary
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	604 case {'w','e'}
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	605 j = 1;
1048 adbb80e60b10 Clean up Elastic2dVariable (partially), Utux, and Utux2d. Martin Almquist <malmquist@stanford.edu> parents: 981 diff changeset	606 case {'s','n'}
981 a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	607 j = 2;
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	608 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	609 H = obj.H_boundary{j};
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	610 I_dim = speye(obj.dim, obj.dim);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	611 H = kron(H, I_dim);
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	612 end
a2fcc4cf2298 Update scheme.Elastic2dVariable by copy-pasting from feature/poroelastic. This is compatible with new getBoundaryOperator in multiblock.DiffOp. Martin Almquist <malmquist@stanford.edu> parents: 943 diff changeset	613
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	614 function N = size(obj)
734 eebe24a636c7 Make Elastic2dVariable.size account for components. Martin Almquist <malmquist@stanford.edu> parents: 730 diff changeset	615 N = obj.dim*prod(obj.m);
687 e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	616 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	617 end
e8fc3aa1faf6 Rename elastic scheme. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	618 end

Mercurial > repos > public > sbplib

annotate +scheme/Elastic2dVariable.m @ 1198:2924b3a9b921 feature/d2_compatible