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annotate +scheme/Hypsyst3d.m @ 354:dbac99d2c318 feature/hypsyst

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Removed inv(Vi) to save time
author Ylva Rydin <ylva.rydin@telia.com>
date Mon, 28 Nov 2016 08:46:28 +0100
parents 9b3d7fc61a36
children 69b078cf8072
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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 Hx, Hy, Hz
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18 Hxi,Hyi, Hzi % Kroneckerd norms. 1'*Hx*v corresponds to integration in the x dir.
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19 I_x,I_y, I_z, I_N
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20 e_w, e_e, e_s, e_n, e_b, e_t
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21 params %parameters for the coeficient matrice
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22 end
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23
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24
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25 methods
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26 function obj = Hypsyst3d(m, lim, order, A, B,C, E, params,operator)
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27 default_arg('E', [])
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28 default_arg('operatpr',[])
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29 xlim = lim{1};
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30 ylim = lim{2};
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31 zlim = lim{3};
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32
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33 if length(m) == 1
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34 m = [m m m];
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35 end
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36
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37 obj.A = A;
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38 obj.B = B;
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39 obj.C = C;
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40 obj.E = E;
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41 m_x = m(1);
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42 m_y = m(2);
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43 m_z=m(3);
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44 obj.params = params;
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45
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46 switch operator
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47 case 'upwind'
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48 ops_x = sbp.D1Upwind(m_x,xlim,order);
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49 ops_y = sbp.D1Upwind(m_y,ylim,order);
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50 ops_z = sbp.D1Upwind(m_z,zlim,order);
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51 otherwise
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52 ops_x = sbp.D2Standard(m_x,xlim,order);
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53 ops_y = sbp.D2Standard(m_y,ylim,order);
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54 ops_z = sbp.D2Standard(m_z,zlim,order);
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55 end
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56
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57 obj.x = ops_x.x;
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58 obj.y = ops_y.x;
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59 obj.z = ops_z.x;
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60
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61 obj.X = kr(obj.x,ones(m_y,1),ones(m_z,1));%% Que pasa?
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62 obj.Y = kr(ones(m_x,1),obj.y,ones(m_z,1));
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63 obj.Z = kr(ones(m_x,1),ones(m_y,1),obj.z);
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64
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65 obj.Yx = kr(obj.y,ones(m_z,1));
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66 obj.Zx = kr(ones(m_y,1),obj.z);
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67
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68 obj.Xy = kr(obj.x,ones(m_z,1));
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69 obj.Zy = kr(ones(m_x,1),obj.z);
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70
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71 obj.Xz = kr(obj.x,ones(m_y,1));
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72 obj.Yz = kr(ones(m_z,1),obj.y);
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73
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74 obj.Aevaluated = obj.evaluateCoefficientMatrix(A, obj.X, obj.Y,obj.Z);
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75 obj.Bevaluated = obj.evaluateCoefficientMatrix(B, obj.X, obj.Y,obj.Z);
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76 obj.Cevaluated = obj.evaluateCoefficientMatrix(C, obj.X, obj.Y,obj.Z);
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77 obj.Eevaluated = obj.evaluateCoefficientMatrix(E, obj.X, obj.Y,obj.Z);
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78
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79 obj.n = length(A(obj.params,0,0,0));
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80
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81 I_n = eye(obj.n);
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82 I_x = speye(m_x);
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83 obj.I_x = I_x;
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84 I_y = speye(m_y);
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85 obj.I_y = I_y;
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86 I_z = speye(m_z);
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87 obj.I_z = I_z;
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88 I_N=kr(I_n,I_x,I_y,I_z);
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89
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90 obj.Hxi = kr(I_n, ops_x.HI, I_y,I_z);
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91 obj.Hx = ops_x.H;
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92 obj.Hyi = kr(I_n, I_x, ops_y.HI,I_z);
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93 obj.Hy = ops_y.H
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94 obj.Hzi = kr(I_n, I_x,I_y, ops_z.HI);
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95 obj.Hz = ops_z.H;
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96
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97 obj.e_w = kr(I_n, ops_x.e_l, I_y,I_z);
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98 obj.e_e = kr(I_n, ops_x.e_r, I_y,I_z);
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99 obj.e_s = kr(I_n, I_x, ops_y.e_l,I_z);
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100 obj.e_n = kr(I_n, I_x, ops_y.e_r,I_z);
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101 obj.e_b = kr(I_n, I_x, I_y, ops_z.e_l);
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102 obj.e_t = kr(I_n, I_x, I_y, ops_z.e_r);
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103
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104 obj.m = m;
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105 obj.h = [ops_x.h ops_y.h ops_x.h];
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106 obj.order = order;
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107
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108 switch operator
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109 case 'upwind'
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110 alphaA = max(eig(A(params,obj.x(end),obj.y(end),obj.z(end))));
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111 alphaB = max(eig(B(params,obj.x(end),obj.y(end),obj.z(end))));
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112 alphaC = max(eig(C(params,obj.x(end),obj.y(end),obj.z(end))));
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113
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114 Ap = (obj.Aevaluated+alphaA*I_N)/2;
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115 Am = (obj.Aevaluated-alphaA*I_N)/2;
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116 Bp = (obj.Bevaluated+alphaB*I_N)/2;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
117 Bm = (obj.Bevaluated-alphaB*I_N)/2;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
118 Cp = (obj.Cevaluated+alphaC*I_N)/2;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
119 Cm = (obj.Cevaluated-alphaC*I_N)/2;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
120
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
121 Dpx = kr(I_n, ops_x.Dp, I_y,I_z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
122 Dmx = kr(I_n, ops_x.Dm, I_y,I_z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
123 Dpy = kr(I_n, I_x, ops_y.Dp,I_z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
124 Dmy = kr(I_n, I_x, ops_y.Dm,I_z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
125 Dpz = kr(I_n, I_x, I_y,ops_z.Dp);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
126 Dmz = kr(I_n, I_x, I_y,ops_z.Dm);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
127
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
128 obj.D=-Am*Dpx-Ap*Dmx-Bm*Dpy-Bp*Dmy-Cm*Dpz-Cp*Dmz-obj.Eevaluated;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
129 otherwise
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
130 D1_x = kr(I_n, ops_x.D1, I_y,I_z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
131 D1_y = kr(I_n, I_x, ops_y.D1,I_z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
132 D1_z = kr(I_n, I_x, I_y,ops_z.D1);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
133 obj.D=-obj.Aevaluated*D1_x-obj.Bevaluated*D1_y-obj.Cevaluated*D1_z-obj.Eevaluated;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
134 end
349
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 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
136
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 % Closure functions return the opertors applied to the own doamin to close the 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
138 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
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 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','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
140 % type is a string specifying the type of boundary condition if there are several.
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 % data is a function returning the data that should be applied at the 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
142 function [closure, penalty] = boundary_condition(obj,boundary,type,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
143 default_arg('type','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
144 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
145
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 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
147 case{'c','char'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
148 [closure,penalty] = boundary_condition_char(obj,BM);
349
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 case{'general'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
150 [closure,penalty] = boundary_condition_general(obj,BM,boundary,L);
349
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 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
152 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
153 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
154 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
155
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 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
157 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
158 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
159
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 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
161 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
162 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
163
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 function [ret] = evaluateCoefficientMatrix(obj, mat, X, Y, Z)
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
165 params = obj.params;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
166 side = max(length(X),length(Y));
349
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 if isa(mat,'function_handle')
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
168 [rows,cols] = size(mat(params,0,0,0));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
169 matVec = mat(params,X',Y',Z');
349
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 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
171 else
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
172 matVec = mat;
349
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 [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
174 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
175 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
176 end
352
9b3d7fc61a36 Changed operator in Utux
Ylva Rydin <ylva.rydin@telia.com>
parents: 350
diff changeset
177 ret=cell(rows,cols);
349
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
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 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
180 for jj=1:cols
352
9b3d7fc61a36 Changed operator in Utux
Ylva Rydin <ylva.rydin@telia.com>
parents: 350
diff changeset
181 ret{ii,jj}=diag(matVec(ii,(jj-1)*side+1:jj*side));
349
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 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
183 end
352
9b3d7fc61a36 Changed operator in Utux
Ylva Rydin <ylva.rydin@telia.com>
parents: 350
diff changeset
184 ret=cell2mat(ret);
349
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 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
186
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
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 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
189 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
190
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 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
192 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
193 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
194 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
195 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
196 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
197 [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
198 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
199 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
200 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
201 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
202 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
203 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
204 [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
205 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
206 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
207 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
208 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
209 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
210 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
211 [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
212 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
213 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
214 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
215 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
216 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
217 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
218 [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
219 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
220 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
221 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
222 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
223 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
224 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
225 [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
226 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
227 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
228 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
229 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
230 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
231 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
232 [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
233 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
234 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
235
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
236 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
237 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
238
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
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 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
241 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
242 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
243 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
244 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
245 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
246 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
247 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
248 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
249 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
250
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 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
252 case {'l'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
253 tau = sparse(obj.n*side,pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
254 Vi_plus = Vi(1:pos,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
255 tau(1:pos,:) = -abs(D(1:pos,1:pos));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
256 closure = Hi*e_*V*tau*Vi_plus*e_';
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
257 penalty = -Hi*e_*V*tau*Vi_plus;
349
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
258 case {'r'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
259 tau = sparse(obj.n*side,neg);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
260 tau((pos+zeroval)+1:obj.n*side,:) = -abs(D((pos+zeroval)+1:obj.n*side,(pos+zeroval)+1:obj.n*side));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
261 Vi_minus = Vi((pos+zeroval)+1:obj.n*side,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
262 closure = Hi*e_*V*tau*Vi_minus*e_';
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
263 penalty = -Hi*e_*V*tau*Vi_minus;
349
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
264 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
265 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
266
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
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
268 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
269 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
270 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
271 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
272 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
273 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
274 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
275 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
276 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
277 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
278 switch boundary
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
279 case {'w','W','west'}
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
280 L = obj.evaluateCoefficientMatrix(L,obj.x(1),obj.Yx,obj.Zx);
349
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
281 case {'e','E','east'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
282 L = obj.evaluateCoefficientMatrix(L,obj.x(end),obj.Yx,obj.Zx);
349
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
283 case {'s','S','south'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
284 L = obj.evaluateCoefficientMatrix(L,obj.Xy,obj.y(1),obj.Zy);
349
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
285 case {'n','N','north'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
286 L = obj.evaluateCoefficientMatrix(L,obj.Xy,obj.y(end),obj.Zy);
349
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 case {'b','B','bottom'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
288 L = obj.evaluateCoefficientMatrix(L,obj.Xz,obj.Yz,obj.z(1));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
289 case {'t','T','top'}
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
290 L = obj.evaluateCoefficientMatrix(L,obj.Xz,obj.Yz,obj.z(end));
349
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 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
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 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
294 case {'l'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
295 tau = sparse(obj.n*side,pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
296 Vi_plus = Vi(1:pos,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
297 Vi_minus = Vi(pos+zeroval+1:obj.n*side,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
298 V_plus = V(:,1:pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
299 V_minus = V(:,(pos+zeroval)+1:obj.n*side);
349
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
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
301 tau(1:pos,:) = -abs(D(1:pos,1:pos));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
302 R = -inv(L*V_plus)*(L*V_minus);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
303 closure = Hi*e_*V*tau*(Vi_plus-R*Vi_minus)*e_';
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
304 penalty = -Hi*e_*V*tau*inv(L*V_plus)*L;
349
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 case {'r'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
306 tau = sparse(obj.n*side,neg);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
307 tau((pos+zeroval)+1:obj.n*side,:) = -abs(D((pos+zeroval)+1:obj.n*side,(pos+zeroval)+1:obj.n*side));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
308 Vi_plus = Vi(1:pos,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
309 Vi_minus = Vi((pos+zeroval)+1:obj.n*side,:);
349
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
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
311 V_plus = V(:,1:pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
312 V_minus = V(:,(pos+zeroval)+1:obj.n*side);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
313 R = -inv(L*V_minus)*(L*V_plus);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
314 closure = Hi*e_*V*tau*(Vi_minus-R*Vi_plus)*e_';
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
315 penalty = -Hi*e_*V*tau*inv(L*V_minus)*L;
349
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 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
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
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
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
320 function [V,Vi, D,signVec]=matrixDiag(obj,mat,x,y,z)
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
321 params = obj.params;
349
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
322 syms xs ys zs
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
323 [V, D] = eig(mat(params,xs,ys,zs));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
324 Vi=inv(V);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
325 xs = x;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
326 ys = y;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
327 zs = z;
349
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
328
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
329
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
330 side = max(length(x),length(y));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
331 Dret = zeros(obj.n,side*obj.n);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
332 Vret = zeros(obj.n,side*obj.n);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
333 Viret= zeros(obj.n,side*obj.n);
349
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
334 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
335 for jj=1:obj.n
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
336 Dret(jj,(ii-1)*side+1:side*ii) = eval(D(jj,ii));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
337 Vret(jj,(ii-1)*side+1:side*ii) = eval(V(jj,ii));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
338 Viret(jj,(ii-1)*side+1:side*ii) = eval(Vi(jj,ii));
349
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
339 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
340 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
341
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
342 D = sparse(Dret);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
343 V = sparse(Vret);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
344 Vi = sparse(Viret);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
345 V = obj.evaluateCoefficientMatrix(V,x,y,z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
346 Vi= obj.evaluateCoefficientMatrix(Vi,x,y,z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
347 D = obj.evaluateCoefficientMatrix(D,x,y,z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
348 DD = diag(D);
349
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
349
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
350 poseig = (DD>0);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
351 zeroeig = (DD==0);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
352 negeig = (DD<0);
349
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
353
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
354 D = diag([DD(poseig); DD(zeroeig); DD(negeig)]);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
355 V = [V(:,poseig) V(:,zeroeig) V(:,negeig)];
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
356 Vi= [Vi(poseig,:); Vi(zeroeig,:); Vi(negeig,:)];
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
357 signVec = [sum(poseig),sum(zeroeig),sum(negeig)];
349
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
358 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
359 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
360 end