annotate +scheme/Hypsyst3d.m @ 1226:0652b34f9f27 feature/volcano

Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 12 Nov 2019 09:00:48 -0800
parents 706d1c2b4199
children ef08adea56c4
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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 grid %TODO: Abstract class requires a grid. Pass Cartesian grid to function instead
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7 x, y, z % Grid
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8 X, Y, Z% Values of x and y for each grid point
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9 Yx, Zx, Xy, Zy, Xz, Yz %Grid values for boundary surfaces
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10 order % Order accuracy for the approximation
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11
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12 D % non-stabilized scheme operator
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13 A, B, C, E % Symbolic coefficient matrices
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14 Aevaluated,Bevaluated,Cevaluated, Eevaluated
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15
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16 H % Discrete norm
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17 Hx, Hy, Hz % Norms in the x, y and z directions
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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 coefficient matrices
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22 end
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24
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25 methods
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26 % Solving Hyperbolic systems on the form u_t=-Au_x-Bu_y-Cu_z-Eu
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27 function obj = Hypsyst3d(m, lim, order, A, B, C, E, params, operator)
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28 default_arg('E', [])
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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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61 obj.X = kr(obj.x,ones(m_y,1),ones(m_z,1));
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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 obj.Xy = kr(obj.x,ones(m_z,1));
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68 obj.Zy = kr(ones(m_x,1),obj.z);
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69 obj.Xz = kr(obj.x,ones(m_y,1));
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70 obj.Yz = kr(ones(m_z,1),obj.y);
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71
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72 obj.Aevaluated = obj.evaluateCoefficientMatrix(A, obj.X, obj.Y,obj.Z);
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73 obj.Bevaluated = obj.evaluateCoefficientMatrix(B, obj.X, obj.Y,obj.Z);
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74 obj.Cevaluated = obj.evaluateCoefficientMatrix(C, obj.X, obj.Y,obj.Z);
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75 obj.Eevaluated = obj.evaluateCoefficientMatrix(E, obj.X, obj.Y,obj.Z);
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77 obj.n = length(A(obj.params,0,0,0));
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78
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79 I_n = speye(obj.n);
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80 I_x = speye(m_x);
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81 obj.I_x = I_x;
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82 I_y = speye(m_y);
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83 obj.I_y = I_y;
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84 I_z = speye(m_z);
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85 obj.I_z = I_z;
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86 I_N = kr(I_n,I_x,I_y,I_z);
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87
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88 obj.Hxi = kr(I_n, ops_x.HI, I_y,I_z);
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89 obj.Hx = ops_x.H;
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90 obj.Hyi = kr(I_n, I_x, ops_y.HI,I_z);
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91 obj.Hy = ops_y.H;
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92 obj.Hzi = kr(I_n, I_x,I_y, ops_z.HI);
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93 obj.Hz = ops_z.H;
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94
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95 obj.e_w = kr(I_n, ops_x.e_l, I_y,I_z);
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96 obj.e_e = kr(I_n, ops_x.e_r, I_y,I_z);
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97 obj.e_s = kr(I_n, I_x, ops_y.e_l,I_z);
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98 obj.e_n = kr(I_n, I_x, ops_y.e_r,I_z);
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99 obj.e_b = kr(I_n, I_x, I_y, ops_z.e_l);
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100 obj.e_t = kr(I_n, I_x, I_y, ops_z.e_r);
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101
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102 obj.m = m;
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103 obj.h = [ops_x.h ops_y.h ops_x.h];
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104 obj.order = order;
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105
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106 switch operator
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107 case 'upwind'
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108 alphaA = max(abs(eig(A(params,obj.x(end),obj.y(end),obj.z(end)))));
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109 alphaB = max(abs(eig(B(params,obj.x(end),obj.y(end),obj.z(end)))));
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110 alphaC = max(abs(eig(C(params,obj.x(end),obj.y(end),obj.z(end)))));
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111
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112 Ap = (obj.Aevaluated+alphaA*I_N)/2;
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113 Am = (obj.Aevaluated-alphaA*I_N)/2;
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114 Dpx = kr(I_n, ops_x.Dp, I_y,I_z);
69b078cf8072 Upwind doed not work in the non curve-linear case.
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parents: 354
diff changeset
115 Dmx = kr(I_n, ops_x.Dm, I_y,I_z);
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
116 obj.D = -Am*Dpx;
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
117 temp = Ap*Dmx;
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
118 obj.D = obj.D-temp;
355
69b078cf8072 Upwind doed not work in the non curve-linear case.
Ylva Rydin <ylva.rydin@telia.com>
parents: 354
diff changeset
119 clear Ap Am Dpx Dmx
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
120
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
121 Bp = (obj.Bevaluated+alphaB*I_N)/2;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
122 Bm = (obj.Bevaluated-alphaB*I_N)/2;
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);
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
125 temp = Bm*Dpy;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
126 obj.D = obj.D-temp;
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
127 temp = Bp*Dmy;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
128 obj.D = obj.D-temp;
355
69b078cf8072 Upwind doed not work in the non curve-linear case.
Ylva Rydin <ylva.rydin@telia.com>
parents: 354
diff changeset
129 clear Bp Bm Dpy Dmy
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
130
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
131
355
69b078cf8072 Upwind doed not work in the non curve-linear case.
Ylva Rydin <ylva.rydin@telia.com>
parents: 354
diff changeset
132 Cp = (obj.Cevaluated+alphaC*I_N)/2;
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
133 Cm = (obj.Cevaluated-alphaC*I_N)/2;
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
134 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
135 Dmz = kr(I_n, I_x, I_y,ops_z.Dm);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
136
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
137 temp = Cm*Dpz;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
138 obj.D = obj.D-temp;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
139 temp = Cp*Dmz;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
140 obj.D = obj.D-temp;
355
69b078cf8072 Upwind doed not work in the non curve-linear case.
Ylva Rydin <ylva.rydin@telia.com>
parents: 354
diff changeset
141 clear Cp Cm Dpz Dmz
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
142 obj.D = obj.D-obj.Eevaluated;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
143
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
144 case 'standard'
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
145 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
146 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
147 D1_z = kr(I_n, I_x, I_y,ops_z.D1);
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
148 obj.D = -obj.Aevaluated*D1_x-obj.Bevaluated*D1_y-obj.Cevaluated*D1_z-obj.Eevaluated;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
149 otherwise
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
150 error('Opperator not supported');
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
151 end
349
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
152 end
905
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Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
153
1226
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
154 % Closure functions return the operators applied to the own domain to close the boundary
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
155 % Penalty functions return the operators to force the solution. In the case of an interface it returns the operator applied to the other doamin.
349
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
156 % 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
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parents:
diff changeset
157 % 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
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parents:
diff changeset
158 % 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
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parents:
diff changeset
159 function [closure, penalty] = boundary_condition(obj,boundary,type,L)
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parents:
diff changeset
160 default_arg('type','char');
369
9d1fc984f40d Added some comments and cleaned up the code a little
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parents: 368
diff changeset
161 BM = boundary_matrices(obj,boundary);
349
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
162 switch type
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
163 case{'c','char'}
354
dbac99d2c318 Removed inv(Vi) to save time
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parents: 352
diff changeset
164 [closure,penalty] = boundary_condition_char(obj,BM);
349
cd6a29ab3746 A 3D is added and an attempt to imlement 3D transfinit interpolation has been initialized
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parents:
diff changeset
165 case{'general'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
166 [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
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parents:
diff changeset
167 otherwise
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parents:
diff changeset
168 error('No such boundary condition')
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parents:
diff changeset
169 end
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff changeset
170 end
905
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Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
171
946
706d1c2b4199 Raname opts to type in a bunch of interface methods
Jonatan Werpers <jonatan@werpers.com>
parents: 910
diff changeset
172 function [closure, penalty] = interface(obj, boundary, neighbour_scheme, neighbour_boundary, type)
706d1c2b4199 Raname opts to type in a bunch of interface methods
Jonatan Werpers <jonatan@werpers.com>
parents: 910
diff changeset
173 error('Not implemented');
349
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parents:
diff changeset
174 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
175
1226
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
176 % TODO: Implement! This function should potentially replace boundary_matrices.
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
177 % Returns the boundary operator op for the boundary specified by the string boundary.
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
178 % op -- string or a cell array of strings
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
179 % boundary -- string
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
180 function varargout = getBoundaryOperator(obj, op, boundary)
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
181 error('Not implemented');
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
182 end
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
183
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
184 % TODO: Implement!
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
185 % Returns square boundary quadrature matrix, of dimension
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
186 % corresponding to the number of boundary points
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
187 %
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
188 % boundary -- string
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
189 function H = getBoundaryQuadrature(obj, boundary)
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
190 error('Not implemented');
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
191 end
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
192
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
193 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
194 N = obj.m;
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parents:
diff changeset
195 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
196
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
197 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
198 params = obj.params;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
199 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
200 if isa(mat,'function_handle')
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
201 [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
202 matVec = mat(params,X',Y',Z');
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
203 matVec = sparse(matVec);
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
204 else
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
205 matVec = mat;
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
206 [rows,cols] = size(matVec);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
207 side = max(length(X),length(Y));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
208 cols = cols/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
209 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
210
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
211 ret = cell(rows,cols);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
212 for ii = 1:rows
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
213 for jj = 1:cols
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
214 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
215 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
216 end
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
217 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
218 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
219
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
220 function [BM] = boundary_matrices(obj,boundary)
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
221 params = obj.params;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
222
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
223 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
224 case {'w','W','west'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
225 BM.e_ = obj.e_w;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
226 mat = obj.A;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
227 BM.boundpos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
228 BM.Hi = obj.Hxi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
229 [BM.V,BM.Vi,BM.D,signVec] = obj.matrixDiag(mat,obj.X(1),obj.Yx,obj.Zx);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
230 BM.side = length(obj.Yx);
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
231 case {'e','E','east'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
232 BM.e_ = obj.e_e;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
233 mat = obj.A;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
234 BM.boundpos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
235 BM.Hi = obj.Hxi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
236 [BM.V,BM.Vi,BM.D,signVec] = obj.matrixDiag(mat,obj.X(end),obj.Yx,obj.Zx);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
237 BM.side = length(obj.Yx);
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
238 case {'s','S','south'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
239 BM.e_ = obj.e_s;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
240 mat = obj.B;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
241 BM.boundpos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
242 BM.Hi = obj.Hyi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
243 [BM.V,BM.Vi,BM.D,signVec] = obj.matrixDiag(mat,obj.Xy,obj.Y(1),obj.Zy);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
244 BM.side = length(obj.Xy);
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
245 case {'n','N','north'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
246 BM.e_ = obj.e_n;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
247 mat = obj.B;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
248 BM.boundpos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
249 BM.Hi = obj.Hyi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
250 [BM.V,BM.Vi,BM.D,signVec] = obj.matrixDiag(mat,obj.Xy,obj.Y(end),obj.Zy);
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
251 BM.side = length(obj.Xy);
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
252 case{'b','B','Bottom'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
253 BM.e_ = obj.e_b;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
254 mat = obj.C;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
255 BM.boundpos = 'l';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
256 BM.Hi = obj.Hzi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
257 [BM.V,BM.Vi,BM.D,signVec] = obj.matrixDiag(mat,obj.Xz,obj.Yz,obj.Z(1));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
258 BM.side = length(obj.Xz);
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
259 case{'t','T','Top'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
260 BM.e_ = obj.e_t;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
261 mat = obj.C;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
262 BM.boundpos = 'r';
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
263 BM.Hi = obj.Hzi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
264 [BM.V,BM.Vi,BM.D,signVec] = obj.matrixDiag(mat,obj.Xz,obj.Yz,obj.Z(end));
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
265 BM.side = length(obj.Xz);
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
266 end
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
267 BM.pos = signVec(1); BM.zeroval=signVec(2); BM.neg=signVec(3);
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
268 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
269
1226
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
270 % Characteristic boundary conditions
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
271 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
272 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
273 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
274 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
275 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
276 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
277 Vi = BM.Vi;
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
278 Hi = BM.Hi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
279 D = BM.D;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
280 e_ = BM.e_;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
281
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
282 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
283 case {'l'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
284 tau = sparse(obj.n*side,pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
285 Vi_plus = Vi(1:pos,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
286 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
287 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
288 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
289 case {'r'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
290 tau = sparse(obj.n*side,neg);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
291 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
292 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
293 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
294 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
295 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
296 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
297
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
298 % General boundary condition in the form Lu=g(x)
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
299 function [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
300 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
301 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
302 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
303 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
304 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
305 Vi = BM.Vi;
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
306 Hi = BM.Hi;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
307 D = BM.D;
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
308 e_ = BM.e_;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
309
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 switch boundary
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
311 case {'w','W','west'}
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
312 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
313 case {'e','E','east'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
314 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
315 case {'s','S','south'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
316 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
317 case {'n','N','north'}
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
318 L = obj.evaluateCoefficientMatrix(L,obj.Xy,obj.y(end),obj.Zy);% General boundary condition in the form Lu=g(x)
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
319 case {'b','B','bottom'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
320 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
321 case {'t','T','top'}
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
322 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
323 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
324
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
325 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
326 case {'l'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
327 tau = sparse(obj.n*side,pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
328 Vi_plus = Vi(1:pos,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
329 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
330 V_plus = V(:,1:pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
331 V_minus = V(:,(pos+zeroval)+1:obj.n*side);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
332
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
333 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
334 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
335 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
336 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
337 case {'r'}
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
338 tau = sparse(obj.n*side,neg);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
339 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
340 Vi_plus = Vi(1:pos,:);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
341 Vi_minus = Vi((pos+zeroval)+1:obj.n*side,:);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
342
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
343 V_plus = V(:,1:pos);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
344 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
345 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
346 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
347 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
348 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
349 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
350
369
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
351 % Function that diagonalizes a symbolic matrix A as A=V*D*Vi
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
352 % D is a diagonal matrix with the eigenvalues on A on the diagonal sorted by their sign
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
353 % [d+ ]
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
354 % D = [ d0 ]
9d1fc984f40d Added some comments and cleaned up the code a little
Ylva Rydin <ylva.rydin@telia.com>
parents: 368
diff changeset
355 % [ d-]
1226
0652b34f9f27 Add missing properties and methods to Hypsyst3D and Hypsyst3Dcurve. Note: These functions are NOT implemented properly and mearly work as place holders.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 946
diff changeset
356 % signVec is a vector specifying the number of positive, zero and negative eigenvalues of 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
357 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
358 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
359 syms xs ys zs
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
360 [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
361 Vi=inv(V);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
362 xs = x;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
363 ys = y;
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
364 zs = z;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
365
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
366
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
367 side = max(length(x),length(y));
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
368 Dret = zeros(obj.n,side*obj.n);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
369 Vret = zeros(obj.n,side*obj.n);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
370 Viret= zeros(obj.n,side*obj.n);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
371
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
372 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
373 for jj=1:obj.n
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
374 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
375 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
376 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
377 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
378 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
379
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
380 D = sparse(Dret);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
381 V = sparse(Vret);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
382 Vi = sparse(Viret);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
383 V = obj.evaluateCoefficientMatrix(V,x,y,z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
384 Vi= obj.evaluateCoefficientMatrix(Vi,x,y,z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
385 D = obj.evaluateCoefficientMatrix(D,x,y,z);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
386 DD = diag(D);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
387
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
388 poseig = (DD>0);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
389 zeroeig = (DD==0);
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
390 negeig = (DD<0);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 372
diff changeset
391
354
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
392 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
393 V = [V(:,poseig) V(:,zeroeig) V(:,negeig)];
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
394 Vi= [Vi(poseig,:); Vi(zeroeig,:); Vi(negeig,:)];
dbac99d2c318 Removed inv(Vi) to save time
Ylva Rydin <ylva.rydin@telia.com>
parents: 352
diff changeset
395 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
396 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
397 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
398 end