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annotate +scheme/Hypsyst3d.m @ 350:5d5652fe826a feature/hypsyst

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A commit before I try resolving the performance issues
author Ylva Rydin <ylva.rydin@telia.com>
date Wed, 02 Nov 2016 00:02:01 +0100
parents cd6a29ab3746
children 9b3d7fc61a36
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1 classdef Hypsyst3d < 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, z % Grid
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7 X, Y, Z% Values of x and y for each grid point
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8 Yx, Zx, Xy, Zy, Xz, Yz %Grid values for boundary surfaces
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9 order % Order accuracy for the approximation
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10
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11 D % non-stabalized scheme operator
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12 A, B, C, E
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13 Aevaluated,Bevaluated,Cevaluated, Eevaluated
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14
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15 H % Discrete norm
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16 % Norms in the x, y and z directions
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17 Hxi,Hyi, Hzi % Kroneckerd norms. 1'*Hx*v corresponds to integration in the x dir.
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18 I_x,I_y, I_z, I_N
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19 e_w, e_e, e_s, e_n, e_b, e_t
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20 params %parameters for the coeficient matrice
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21 end
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22
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23
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24 methods
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25 function obj = Hypsyst3d(m, lim, order, A, B,C, E, params)
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26 default_arg('E', [])
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27 xlim = lim{1};
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28 ylim = lim{2};
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29 zlim = lim{3};
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30
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31 if length(m) == 1
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32 m = [m m m];
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33 end
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34
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35 obj.A=A;
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36 obj.B=B;
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37 obj.C=C;
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38 obj.E=E;
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39 m_x = m(1);
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40 m_y = m(2);
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41 m_z=m(3);
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42 obj.params = params;
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43
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44 ops_x = sbp.D2Standard(m_x,xlim,order);
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45 ops_y = sbp.D2Standard(m_y,ylim,order);
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46 ops_z = sbp.D2Standard(m_z,zlim,order);
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47
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48 obj.x = ops_x.x;
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49 obj.y = ops_y.x;
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50 obj.z = ops_z.x;
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51
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52 obj.X = kr(obj.x,ones(m_y,1),ones(m_z,1));%% Que pasa?
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53 obj.Y = kr(ones(m_x,1),obj.y,ones(m_z,1));
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54 obj.Z = kr(ones(m_x,1),ones(m_y,1),obj.z);
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56 obj.Yx=kr(obj.y,ones(m_z,1));
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57 obj.Zx=kr(ones(m_y,1),obj.z);
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59 obj.Xy=kr(obj.x,ones(m_z,1));
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60 obj.Zy=kr(ones(m_x,1),obj.z);
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62 obj.Xz=kr(obj.x,ones(m_y,1));
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63 obj.Yz=kr(ones(m_z,1),obj.y);
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64
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65 obj.Aevaluated = obj.evaluateCoefficientMatrix(A, obj.X, obj.Y,obj.Z);
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66 obj.Bevaluated = obj.evaluateCoefficientMatrix(B, obj.X, obj.Y,obj.Z);
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67 obj.Cevaluated = obj.evaluateCoefficientMatrix(C, obj.X, obj.Y,obj.Z);
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68 obj.Eevaluated = obj.evaluateCoefficientMatrix(E, obj.X, obj.Y,obj.Z);
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69
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70 obj.n = length(A(obj.params,0,0,0));
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71
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72 I_n = eye(obj.n);
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73 I_x = speye(m_x);
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74 obj.I_x = I_x;
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75 I_y = speye(m_y);
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76 obj.I_y = I_y;
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77 I_z = speye(m_z);
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78 obj.I_z = I_z;
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79
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80
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81 D1_x = kr(I_n, ops_x.D1, I_y,I_z);
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82 obj.Hxi = kr(I_n, ops_x.HI, I_y,I_z);
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83 D1_y = kr(I_n, I_x, ops_y.D1,I_z);
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84 obj.Hyi = kr(I_n, I_x, ops_y.HI,I_z);
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85 D1_z = kr(I_n, I_x, I_y,ops_z.D1);
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86 obj.Hzi = kr(I_n, I_x,I_y, ops_z.HI);
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87
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88 obj.e_w = kr(I_n, ops_x.e_l, I_y,I_z);
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89 obj.e_e = kr(I_n, ops_x.e_r, I_y,I_z);
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90 obj.e_s = kr(I_n, I_x, ops_y.e_l,I_z);
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91 obj.e_n = kr(I_n, I_x, ops_y.e_r,I_z);
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92 obj.e_b = kr(I_n, I_x, I_y, ops_z.e_l);
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93 obj.e_t = kr(I_n, I_x, I_y, ops_z.e_r);
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94
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95 obj.m=m;
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96 obj.h=[ops_x.h ops_y.h ops_x.h];
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97 obj.order=order;
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98
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99 obj.D=-obj.Aevaluated*D1_x-obj.Bevaluated*D1_y-obj.Cevaluated*D1_z-obj.Eevaluated;
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100 end
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101
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102 % Closure functions return the opertors applied to the own doamin to close the boundary
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103 % 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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104 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
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105 % type is a string specifying the type of boundary condition if there are several.
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106 % data is a function returning the data that should be applied at the boundary.
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107 function [closure, penalty] = boundary_condition(obj,boundary,type,L)
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108 default_arg('type','char');
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109 BM=boundary_matrices(obj,boundary);
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110
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111 switch type
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
112 case{'c','char'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
113 [closure,penalty]=boundary_condition_char(obj,BM);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
114 case{'general'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
115 [closure,penalty]=boundary_condition_general(obj,BM,boundary,L);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
116 otherwise
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
117 error('No such boundary condition')
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
118 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
119 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
120
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
121 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
122 error('An interface function does not exist yet');
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
123 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
124
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
125 function N = size(obj)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
126 N = obj.m;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
127 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
128
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
129 function [ret] = evaluateCoefficientMatrix(obj, mat, X, Y, Z)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
130 params=obj.params;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
131 side=max(length(X),length(Y));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
132 if isa(mat,'function_handle')
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
133 [rows,cols]=size(mat(params,0,0,0));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
134 matVec=mat(params,X',Y',Z');
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
135 matVec=sparse(matVec);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
136 else
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
137 matVec=mat;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
138 [rows,cols]=size(matVec);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
139 side=max(length(X),length(Y));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
140 cols=cols/side;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
141 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
142 ret=kron(ones(rows,cols),speye(side));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
143
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
144 for ii=1:rows
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
145 for jj=1:cols
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
146 ret((ii-1)*side+1:ii*side,(jj-1)*side+1:jj*side)=diag(matVec(ii,(jj-1)*side+1:jj*side));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
147 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
148 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
149 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
150
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
151
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
152 function [BM]=boundary_matrices(obj,boundary)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
153 params=obj.params;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
154
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
155 switch boundary
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
156 case {'w','W','west'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
157 BM.e_=obj.e_w;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
158 mat=obj.A;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
159 BM.boundpos='l';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
160 BM.Hi=obj.Hxi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
161 [BM.V,BM.Vi,BM.D,signVec]=obj.matrixDiag(mat,obj.X(1),obj.Yx,obj.Zx);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
162 BM.side=length(obj.Yx);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
163 case {'e','E','east'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
164 BM.e_=obj.e_e;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
165 mat=obj.A;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
166 BM.boundpos='r';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
167 BM.Hi=obj.Hxi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
168 [BM.V,BM.Vi,BM.D,signVec]=obj.matrixDiag(mat,obj.X(end),obj.Yx,obj.Zx);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
169 BM.side=length(obj.Yx);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
170 case {'s','S','south'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
171 BM.e_=obj.e_s;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
172 mat=obj.B;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
173 BM.boundpos='l';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
174 BM.Hi=obj.Hyi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
175 [BM.V,BM.Vi,BM.D,signVec]=obj.matrixDiag(mat,obj.Xy,obj.Y(1),obj.Zy);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
176 BM.side=length(obj.Xy);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
177 case {'n','N','north'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
178 BM.e_=obj.e_n;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
179 mat=obj.B;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
180 BM.boundpos='r';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
181 BM.Hi=obj.Hyi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
182 [BM.V,BM.Vi,BM.D,signVec]=obj.matrixDiag(mat,obj.Xy,obj.Y(end),obj.Zy);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
183 BM.side=length(obj.Xy);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
184 case{'b','B','Bottom'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
185 BM.e_=obj.e_b;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
186 mat=obj.C;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
187 BM.boundpos='l';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
188 BM.Hi=obj.Hzi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
189 [BM.V,BM.Vi,BM.D,signVec]=obj.matrixDiag(mat,obj.Xz,obj.Yz,obj.Z(1));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
190 BM.side=length(obj.Xz);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
191 case{'t','T','Top'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
192 BM.e_=obj.e_t;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
193 mat=obj.C;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
194 BM.boundpos='r';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
195 BM.Hi=obj.Hzi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
196 [BM.V,BM.Vi,BM.D,signVec]=obj.matrixDiag(mat,obj.Xz,obj.Yz,obj.Z(end));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
197 BM.side=length(obj.Xz);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
198 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
199
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
200 BM.pos=signVec(1); BM.zeroval=signVec(2); BM.neg=signVec(3);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
201 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
202
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
203
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
204 function [closure, penalty]=boundary_condition_char(obj,BM)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
205 side = BM.side;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
206 pos = BM.pos;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
207 neg = BM.neg;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
208 zeroval=BM.zeroval;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
209 V = BM.V;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
210 Vi = BM.Vi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
211 Hi=BM.Hi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
212 D=BM.D;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
213 e_=BM.e_;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
214
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
215 switch BM.boundpos
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
216 case {'l'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
217 tau=sparse(obj.n*side,pos);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
218 Vi_plus=Vi(1:pos,:);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
219 tau(1:pos,:)=-abs(D(1:pos,1:pos));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
220 closure=Hi*e_*V*tau*Vi_plus*e_';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
221 penalty=-Hi*e_*V*tau*Vi_plus;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
222 case {'r'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
223 tau=sparse(obj.n*side,neg);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
224 tau((pos+zeroval)+1:obj.n*side,:)=-abs(D((pos+zeroval)+1:obj.n*side,(pos+zeroval)+1:obj.n*side));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
225 Vi_minus=Vi((pos+zeroval)+1:obj.n*side,:);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
226 closure=Hi*e_*V*tau*Vi_minus*e_';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
227 penalty=-Hi*e_*V*tau*Vi_minus;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
228 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
229 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
230
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
231
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
232 function [closure,penalty]=boundary_condition_general(obj,BM,boundary,L)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
233 side = BM.side;
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
234 pos = BM.pos;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
235 neg = BM.neg;
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
236 zeroval=BM.zeroval;
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
237 V = BM.V;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
238 Vi = BM.Vi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
239 Hi=BM.Hi;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
240 D=BM.D;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
241 e_=BM.e_;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
242 switch boundary
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
243 case {'w','W','west'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
244 L=obj.evaluateCoefficientMatrix(L,obj.x(1),obj.Yx,obj.Zx);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
245 case {'e','E','east'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
246 L=obj.evaluateCoefficientMatrix(L,obj.x(end),obj.Yx,obj.Zx);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
247 case {'s','S','south'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
248 L=obj.evaluateCoefficientMatrix(L,obj.Xy,obj.y(1),obj.Zy);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
249 case {'n','N','north'}
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
250 L=obj.evaluateCoefficientMatrix(L,obj.Xy,obj.y(end),obj.Zy);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
251 case {'b','B','bottom'}
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
252 L=obj.evaluateCoefficientMatrix(L,obj.Xz,obj.Yz,obj.z(1));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
253 case {'t','T','top'}
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parents:
diff changeset
254 L=obj.evaluateCoefficientMatrix(L,obj.Xz,obj.Yz,obj.z(end));
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parents:
diff changeset
255 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
256
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
257 switch BM.boundpos
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
258 case {'l'}
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
259 tau=sparse(obj.n*side,pos);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
260 Vi_plus=Vi(1:pos,:);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
261 Vi_minus=Vi(pos+zeroval+1:obj.n*side,:);
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
262 V_plus=V(:,1:pos);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
263 V_minus=V(:,(pos+zeroval)+1:obj.n*side);
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parents:
diff changeset
264
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
265 tau(1:pos,:)=-abs(D(1:pos,1:pos));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
266 R=-inv(L*V_plus)*(L*V_minus);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
267 closure=Hi*e_*V*tau*(Vi_plus-R*Vi_minus)*e_';
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parents:
diff changeset
268 penalty=-Hi*e_*V*tau*inv(L*V_plus)*L;
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parents:
diff changeset
269 case {'r'}
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
270 tau=sparse(obj.n*side,neg);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
271 tau((pos+zeroval)+1:obj.n*side,:)=-abs(D((pos+zeroval)+1:obj.n*side,(pos+zeroval)+1:obj.n*side));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
272 Vi_plus=Vi(1:pos,:);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
273 Vi_minus=Vi((pos+zeroval)+1:obj.n*side,:);
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parents:
diff changeset
274
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
275 V_plus=V(:,1:pos);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
276 V_minus=V(:,(pos+zeroval)+1:obj.n*side);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
277 R=-inv(L*V_minus)*(L*V_plus);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
278 closure=Hi*e_*V*tau*(Vi_minus-R*Vi_plus)*e_';
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
279 penalty=-Hi*e_*V*tau*inv(L*V_minus)*L;
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parents:
diff changeset
280 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
281 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
282
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
283
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
284 function [V,Vi, D,signVec]=matrixDiag(obj,mat,x,y,z)
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
285 params=obj.params;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
286 syms xs ys zs
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
287 [V, D]=eig(mat(params,xs,ys,zs));
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
288 xs=x;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
289 ys=y;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
290 zs=z;
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
291
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
292
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
293 side=max(length(x),length(y));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
294 Dret=zeros(obj.n,side*obj.n);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
295 Vret=zeros(obj.n,side*obj.n);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
296 for ii=1:obj.n
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
297 for jj=1:obj.n
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
298 Dret(jj,(ii-1)*side+1:side*ii)=eval(D(jj,ii));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
299 Vret(jj,(ii-1)*side+1:side*ii)=eval(V(jj,ii));
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
300 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
301 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
302
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
303 D=sparse(Dret);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
304 V=sparse(Vret);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
305 V=obj.evaluateCoefficientMatrix(V,x,y,z);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
306 D=obj.evaluateCoefficientMatrix(D,x,y,z);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
307 DD=diag(D);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
308
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
309 poseig=(DD>0);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
310 zeroeig=(DD==0);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
311 negeig=(DD<0);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
312
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
313 D=diag([DD(poseig); DD(zeroeig); DD(negeig)]);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
314 V=[V(:,poseig) V(:,zeroeig) V(:,negeig)];
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
315 Vi=inv(V);
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
316 signVec=[sum(poseig),sum(zeroeig),sum(negeig)];
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
317 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
318 end
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
319 end