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annotate +scheme/Hypsyst2dCurve.m @ 1298:0ffb5bfa65e4 feature/boundary_optimized_grids

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author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 07 Jul 2020 16:23:44 +0200
parents 8d73fcdb07a5
children
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1 classdef Hypsyst2dCurve < scheme.Scheme
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2 properties
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3 m % Number of points in each direction, possibly a vector
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4 n % size of system
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5 h % Grid spacing
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6 X,Y % Values of x and y for each grid point
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7
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8 J, Ji % Jacobaian and inverse Jacobian
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9 xi,eta
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10 Xi,Eta
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11
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12 A,B
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13 X_eta, Y_eta
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14 X_xi,Y_xi
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15 order % Order accuracy for the approximation
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17 D % non-stabalized scheme operator
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18 Ahat, Bhat, E
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20 H % Discrete norm
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21 Hxii,Hetai % Kroneckerd norms in xi and eta.
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22 I_xi,I_eta, I_N, onesN
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23 e_w, e_e, e_s, e_n
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24 index_w, index_e,index_s,index_n
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25 params % Parameters for the coeficient matrice
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26 end
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29 methods
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30 % Solving Hyperbolic systems on the form u_t=-Au_x-Bu_y-Eu
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31 function obj = Hypsyst2dCurve(m, order, A, B, E, params, ti)
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32 default_arg('E', [])
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33 xilim = {0 1};
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34 etalim = {0 1};
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36 if length(m) == 1
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37 m = [m m];
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38 end
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39 obj.params = params;
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40 obj.A=A;
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41 obj.B=B;
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43 obj.Ahat=@(params,x,y,x_eta,y_eta)(A(params,x,y).*y_eta-B(params,x,y).*x_eta);
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44 obj.Bhat=@(params,x,y,x_xi,y_xi)(B(params,x,y).*x_xi-A(params,x,y).*y_xi);
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45 obj.E=@(params,x,y,~,~)E(params,x,y);
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47 m_xi = m(1);
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48 m_eta = m(2);
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49 m_tot=m_xi*m_eta;
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51 ops_xi = sbp.D2Standard(m_xi,xilim,order);
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52 ops_eta = sbp.D2Standard(m_eta,etalim,order);
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54 obj.xi = ops_xi.x;
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55 obj.eta = ops_eta.x;
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57 obj.Xi = kr(obj.xi,ones(m_eta,1));
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58 obj.Eta = kr(ones(m_xi,1),obj.eta);
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60 obj.n = length(A(obj.params,0,0));
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61 obj.onesN=ones(obj.n);
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63 obj.index_w=1:m_eta;
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64 obj.index_e=(m_tot-m_e
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66 metric_termsta+1):m_tot;
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67 obj.index_s=1:m_eta:(m_tot-m_eta+1);
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68 obj.index_n=(m_eta):m_eta:m_tot;
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70 I_n = eye(obj.n);
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71 I_xi = speye(m_xi);
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72 obj.I_xi = I_xi;
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73 I_eta = speye(m_eta);
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74 obj.I_eta = I_eta;
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76 D1_xi = kr(I_n, ops_xi.D1, I_eta);
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77 obj.Hxii = kr(I_n, ops_xi.HI, I_eta);
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78 D1_eta = kr(I_n, I_xi, ops_eta.D1);
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79 obj.Hetai = kr(I_n, I_xi, ops_eta.HI);
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81 obj.e_w = kr(I_n, ops_xi.e_l, I_eta);
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82 obj.e_e = kr(I_n, ops_xi.e_r, I_eta);
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83 obj.e_s = kr(I_n, I_xi, ops_eta.e_l);
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84 obj.e_n = kr(I_n, I_xi,
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86 metric_termsops_eta.e_r);
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87
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88 [X,Y] = ti.map(obj.xi,obj.eta);
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90 [x_xi,x_eta] = gridDerivatives(X,ops_xi.D1,ops_eta.D1);
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91 [y_xi,y_eta] = gridDerivatives(Y,ops_xi.D1, ops_eta.D1);
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93 obj.X = reshape(X,m_tot,1);
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94 obj.Y = reshape(Y,m_tot,1);
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95 obj.X_xi = reshape(x_xi,m_tot,1);
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96 obj.Y_xi = reshape(y_xi,m_tot,1);
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97 obj.X_eta = reshape(x_eta,m_tot,1);
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98 obj.Y_eta = reshape(y_eta,m_tot,1);
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99
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100 Ahat_evaluated = obj.evaluateCoefficientMatrix(obj.Ahat, obj.X, obj.Y,obj.X_eta,obj.Y_eta);
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101 Bhat_evaluated = obj.evaluateCoefficientMatrix(obj.Bhat, obj.X, obj.Y,obj.X_xi,obj.Y_xi);
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102 E_evaluated = obj.evaluateCoefficientMatrix(obj.E, obj.X, obj.Y,[],[]);
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103
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104 obj.m = m;
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105 obj.h = [ops_xi.h ops_eta.h];
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106 obj.order = order;
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107 obj.J = obj.X_xi.*obj.Y_eta - obj.X_eta.*obj.Y_xi;
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108 obj.Ji = kr(I_n,spdiags(1./obj.J,0,m_tot,m_tot));
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110 obj.D = obj.Ji*(-Ahat_evaluated*D1_xi-Bhat_evaluated*D1_eta)-E_evaluated;
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112 end
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114 % Closure functions return the opertors applied to the own doamin to close the boundary
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115 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
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116 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w',General boundary conditions'n','s'.
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117 % type is a string specifying the type of boundary condition if there are several.
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118 % data is a function returning the data that should be applied at the boundary.
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119 function [closure, penalty] = boundary_condition(obj,boundary,type,L)
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120 default_arg('type','char');
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121 switch type
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122 case{'c','char'}
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123 [closure,penalty] = boundary_condition_char(obj,boundary);
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124 case{'general'}
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125 [closure,penalty] = boundary_condition_general(obj,boundary,L);
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
126 otherwise
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
127 error('No such boundary condition')
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parents:
diff changeset
128 end
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
129 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
130
946
706d1c2b4199 Raname opts to type in a bunch of interface methods
Jonatan Werpers <jonatan@werpers.com>
parents: 910
diff changeset
131 function [closure, penalty] = interface(obj, boundary, neighbour_scheme, neighbour_boundary, type)
706d1c2b4199 Raname opts to type in a bunch of interface methods
Jonatan Werpers <jonatan@werpers.com>
parents: 910
diff changeset
132 error('Not implemented');
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
133 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
134
298
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parents:
diff changeset
135 function N = size(obj)
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parents:
diff changeset
136 N = obj.m;
861972361f75 The curvelinear works for quads
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parents:
diff changeset
137 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
138
298
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parents:
diff changeset
139 function [ret] = evaluateCoefficientMatrix(obj, mat, X, Y,x_,y_)
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
140 params = obj.params;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
141
298
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parents:
diff changeset
142 if isa(mat,'function_handle')
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
143 [rows,cols] = size(mat(params,0,0,0,0));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
144 x_ = kr(obj.onesN,x_);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
145 y_ = kr(obj.onesN,y_);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
146 matVec = mat(params,X',Y',x_',y_');
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
147 matVec = sparse(matVec);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
148 side = max(length(X),length(Y));
298
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parents:
diff changeset
149 else
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
150 matVec = mat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
151 [rows,cols] = size(matVec);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
152 side = max(length(X),length(Y));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
153 cols = cols/side;
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
154 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
155
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
156 ret = cell(rows,cols);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
157 for ii = 1:rows
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
158 for jj = 1:cols
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
159 ret{ii,jj} = diag(matVec(ii,(jj-1)*side+1:jj*side));
298
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parents:
diff changeset
160 end
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
161 end
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
162 ret = cell2mat(ret);
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
163 end
905
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Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
164
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
165 %Characteristic boundary conditions
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
166 function [closure, penalty] = boundary_condition_char(obj,boundary)
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
167 params = obj.params;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
168 X = obj.X;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
169 Y = obj.Y;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
170 xi = obj.xi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
171 eta = obj.eta;
997
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
172 e_ = obj.getBoundaryOperator('e', boundary);
905
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Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
173
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
174 switch boundary
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
175 case {'w','W','west'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
176 mat = obj.Ahat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
177 boundPos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
178 Hi = obj.Hxii;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
179 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_w),Y(obj.index_w),obj.X_eta(obj.index_w),obj.Y_eta(obj.index_w));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
180 side = max(length(eta));
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
181 case {'e','E','east'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
182 mat = obj.Ahat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
183 boundPos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
184 Hi = obj.Hxii;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
185 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_e),Y(obj.index_e),obj.X_eta(obj.index_e),obj.Y_eta(obj.index_e));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
186 side = max(length(eta));
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
187 case {'s','S','south'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
188 mat = obj.Bhat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
189 boundPos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
190 Hi = obj.Hetai;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
191 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_s),Y(obj.index_s),obj.X_xi(obj.index_s),obj.Y_xi(obj.index_s));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
192 side = max(length(xi));
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
193 case {'n','N','north'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
194 mat = obj.Bhat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
195 boundPos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
196 Hi = obj.Hetai;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
197 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_n),Y(obj.index_n),obj.X_xi(obj.index_n),obj.Y_xi(obj.index_n));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
198 side = max(length(xi));
298
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parents:
diff changeset
199 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
200
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
201 pos = signVec(1);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
202 zeroval = signVec(2);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
203 neg = signVec(3);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
204
298
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
205 switch boundPos
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
206 case {'l'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
207 tau = sparse(obj.n*side,pos);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
208 Vi_plus = Vi(1:pos,:);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
209 tau(1:pos,:) = -abs(D(1:pos,1:pos));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
210 closure = Hi*e_*V*tau*Vi_plus*e_';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
211 penalty = -Hi*e_*V*tau*Vi_plus;
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
212 case {'r'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
213 tau = sparse(obj.n*side,neg);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
214 tau((pos+zeroval)+1:obj.n*side,:) = -abs(D((pos+zeroval)+1:obj.n*side,(pos+zeroval)+1:obj.n*side));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
215 Vi_minus = Vi((pos+zeroval)+1:obj.n*side,:);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
216 closure = Hi*e_*V*tau*Vi_minus*e_';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
217 penalty = -Hi*e_*V*tau*Vi_minus;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
218 end
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
219 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
220
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
221
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
222 % General boundary condition in the form Lu=g(x)
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
223 function [closure,penalty] = boundary_condition_general(obj,boundary,L)
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
224 params = obj.params;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
225 X = obj.X;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
226 Y = obj.Y;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
227 xi = obj.xi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
228 eta = obj.eta;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
229
298
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parents:
diff changeset
230 switch boundary
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
231 case {'w','W','west'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
232 e_ = obj.e_w;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
233 mat = obj.Ahat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
234 boundPos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
235 Hi = obj.Hxii;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
236 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_w),Y(obj.index_w),obj.X_eta(obj.index_w),obj.Y_eta(obj.index_w));
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
237
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
238 Ji_vec = diag(obj.Ji);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
239 Ji = diag(Ji_vec(obj.index_w));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
240 xi_x = Ji*obj.Y_eta(obj.index_w);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
241 xi_y = -Ji*obj.X_eta(obj.index_w);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
242 L = obj.evaluateCoefficientMatrix(L,xi_x,xi_y,[],[]);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
243 side = max(length(eta));
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
244 case {'e','E','east'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
245 e_ = obj.e_e;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
246 mat = obj.Ahat;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
247 boundPos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
248 Hi = obj.Hxii;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
249 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_e),Y(obj.index_e),obj.X_eta(obj.index_e),obj.Y_eta(obj.index_e));
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
250
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
251 Ji_vec = diag(obj.Ji);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
252 Ji = diag(Ji_vec(obj.index_e));
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
253 xi_x = Ji*obj.Y_eta(obj.index_e);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
254 xi_y = -Ji*obj.X_eta(obj.index_e);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
255 L = obj.evaluateCoefficientMatrix(L,-xi_x,-xi_y,[],[]);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
256 side = max(length(eta));
298
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diff changeset
257 case {'s','S','south'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
258 e_ = obj.e_s;
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diff changeset
259 mat = obj.Bhat;
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
260 boundPos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
261 Hi = obj.Hetai;
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
262 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_s),Y(obj.index_s),obj.X_xi(obj.index_s),obj.Y_xi(obj.index_s));
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diff changeset
263
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
264 Ji_vec = diag(obj.Ji);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
265 Ji = diag(Ji_vec(obj.index_s));
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
266 eta_x = Ji*obj.Y_xi(obj.index_s);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
267 eta_y = -Ji*obj.X_xi(obj.index_s);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
268 L = obj.evaluateCoefficientMatrix(L,eta_x,eta_y,[],[]);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
269 side = max(length(xi));
298
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diff changeset
270 case {'n','N','north'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
271 e_ = obj.e_n;
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
272 mat = obj.Bhat;
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parents: 352
diff changeset
273 boundPos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
274 Hi = obj.Hetai;
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diff changeset
275 [V,Vi,D,signVec] = obj.matrixDiag(mat,X(obj.index_n),Y(obj.index_n),obj.X_xi(obj.index_n),obj.Y_xi(obj.index_n));
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diff changeset
276
369
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diff changeset
277 Ji_vec = diag(obj.Ji);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
278 Ji = diag(Ji_vec(obj.index_n));
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
279 eta_x = Ji*obj.Y_xi(obj.index_n);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
280 eta_y = -Ji*obj.X_xi(obj.index_n);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
281 L = obj.evaluateCoefficientMatrix(L,-eta_x,-eta_y,[],[]);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
282 side = max(length(xi));
298
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diff changeset
283 end
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diff changeset
284
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
285 pos = signVec(1);
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diff changeset
286 zeroval = signVec(2);
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diff changeset
287 neg = signVec(3);
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diff changeset
288
298
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diff changeset
289 switch boundPos
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parents:
diff changeset
290 case {'l'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
291 tau = sparse(obj.n*side,pos);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
292 Vi_plus = Vi(1:pos,:);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
293 Vi_minus = Vi(pos+1:obj.n*side,:);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
294 V_plus = V(:,1:pos);
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
295 V_minus = V(:,(pos)+1:obj.n*side);
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diff changeset
296
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
297 tau(1:pos,:) = -abs(D(1:pos,1:pos));
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
298 R = -inv(L*V_plus)*(L*V_minus);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
299 closure = Hi*e_*V*tau*(Vi_plus-R*Vi_minus)*e_';
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
300 penalty = -Hi*e_*V*tau*inv(L*V_plus)*L;
298
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parents:
diff changeset
301 case {'r'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
302 tau = sparse(obj.n*side,neg);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
303 tau((pos+zeroval)+1:obj.n*side,:) = -abs(D((pos+zeroval)+1:obj.n*side,(pos+zeroval)+1:obj.n*side));
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
304 Vi_plus = Vi(1:pos,:);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
305 Vi_minus = Vi((pos+zeroval)+1:obj.n*side,:);
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parents: 369
diff changeset
306
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
307 V_plus = V(:,1:pos);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
308 V_minus = V(:,(pos+zeroval)+1:obj.n*side);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
309 R = -inv(L*V_minus)*(L*V_plus);
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
310 closure = Hi*e_*V*tau*(Vi_minus-R*Vi_plus)*e_';
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
311 penalty = -Hi*e_*V*tau*inv(L*V_minus)*L;
298
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diff changeset
312 end
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parents:
diff changeset
313 end
905
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parents: 369
diff changeset
314
369
9d1fc984f40d Added some comments and cleaned up the code a little
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diff changeset
315 % Function that diagonalizes a symbolic matrix A as A=V*D*Vi
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
316 % D is a diagonal matrix with the eigenvalues on A on the diagonal sorted by their sign
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
317 % [d+ ]
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
318 % D = [ d0 ]
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parents: 352
diff changeset
319 % [ d-]
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diff changeset
320 % signVec is a vector specifying the number of possitive, zero and negative eigenvalues of D
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
321 function [V,Vi, D,signVec] = matrixDiag(obj,mat,x,y,x_,y_)
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
322 params = obj.params;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
323 syms xs ys
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
324 if(sum(abs(x_)) ~= 0)
298
861972361f75 The curvelinear works for quads
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parents:
diff changeset
325 syms xs_
861972361f75 The curvelinear works for quads
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parents:
diff changeset
326 else
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
327 xs_ = 0;
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
328 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
329
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
330 if(sum(abs(y_))~= 0)
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
331 syms ys_;
298
861972361f75 The curvelinear works for quads
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parents:
diff changeset
332 else
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 352
diff changeset
333 ys_ = 0;
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
334 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
335
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
336 [V, D] = eig(mat(params,xs,ys,xs_,ys_));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
337 Vi = inv(V);
298
861972361f75 The curvelinear works for quads
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parents:
diff changeset
338 syms xs ys xs_ ys_
905
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parents: 369
diff changeset
339
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
340 xs = x;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
341 ys = y;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
342 xs_ = x_;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
343 ys_ = y_;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
344
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
345 side = max(length(x),length(y));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
346 Dret = zeros(obj.n,side*obj.n);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
347 Vret = zeros(obj.n,side*obj.n);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
348 Viret = zeros(obj.n,side*obj.n);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
349 for ii = 1:obj.n
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
350 for jj = 1:obj.n
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
351 Dret(jj,(ii-1)*side+1:side*ii) = eval(D(jj,ii));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
352 Vret(jj,(ii-1)*side+1:side*ii) = eval(V(jj,ii));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
353 Viret(jj,(ii-1)*side+1:side*ii) = eval(Vi(jj,ii));
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
354 end
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
355 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
356
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
357 D = sparse(Dret);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
358 V = sparse(Vret);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
359 Vi = sparse(Viret);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
360 V = obj.evaluateCoefficientMatrix(V,x,y,x_,y_);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
361 D = obj.evaluateCoefficientMatrix(D,x,y,x_,y_);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
362 Vi = obj.evaluateCoefficientMatrix(Vi,x,y,x_,y_);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
363 DD = diag(D);
905
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Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
364
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
365 poseig = (DD>0);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
366 zeroeig = (DD==0);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
367 negeig = (DD<0);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 369
diff changeset
368
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
369 D = diag([DD(poseig); DD(zeroeig); DD(negeig)]);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
370 V = [V(:,poseig) V(:,zeroeig) V(:,negeig)];
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
371 Vi = [Vi(poseig,:); Vi(zeroeig,:); Vi(negeig,:)];
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
372 signVec = [sum(poseig),sum(zeroeig),sum(negeig)];
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
373 end
997
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
374
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
375 % Returns the boundary operator op for the boundary specified by the string boundary.
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
376 % op -- string or a cell array of strings
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
377 % boundary -- string
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
378 function varargout = getBoundaryOperator(obj, op, boundary)
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
379 assertIsMember(boundary, {'w', 'e', 's', 'n'})
997
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
380
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
381 if ~iscell(op)
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
382 op = {op};
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
383 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
384
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
385 for i = 1:numel(op)
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
386 switch op{i}
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
387 case 'e'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
388 switch boundary
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
389 case 'w'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
390 e = obj.e_w;
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
391 case 'e'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
392 e = obj.e_e;
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
393 case 's'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
394 e = obj.e_s;
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
395 case 'n'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
396 e = obj.e_n;
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
397 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
398 varargout{i} = e;
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
399 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
400 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
401 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
402
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
403 % Returns square boundary quadrature matrix, of dimension
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
404 % corresponding to the number of boundary points
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
405 %
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
406 % boundary -- string
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
407 function H_b = getBoundaryQuadrature(obj, boundary)
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
408 assertIsMember(boundary, {'w', 'e', 's', 'n'})
997
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
409
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
410 e = obj.getBoundaryOperator('e', boundary);
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
411
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
412 switch boundary
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
413 case 'w'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
414 H_b = inv(e'*obj.Hetai*e);
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
415 case 'e'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
416 H_b = inv(e'*obj.Hetai*e);
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
417 case 's'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
418 H_b = inv(e'*obj.Hxii*e);
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
419 case 'n'
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
420 H_b = inv(e'*obj.Hxii*e);
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
421 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
422 end
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
423
78db023a7fe3 Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
424
298
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
425 end
861972361f75 The curvelinear works for quads
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
426 end