Mercurial > fem-fenics-eugenio
annotate src/assemble_system.cc @ 143:9486cbdc0a2e
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author | gedeone-octave <marcovass89@hotmail.it> |
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date | Mon, 09 Sep 2013 22:40:46 +0200 |
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1 /* |
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2 Copyright (C) 2013 Marco Vassallo |
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3 |
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4 This program is free software; you can redistribute it and/or modify it under |
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5 the terms of the GNU General Public License as published by the Free Software |
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6 Foundation; either version 2 of the License, or (at your option) any later |
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7 version. |
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8 |
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9 This program is distributed in the hope that it will be useful, but WITHOUT |
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10 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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11 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more |
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12 details. |
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13 |
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14 You should have received a copy of the GNU General Public License along with |
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15 this program; if not, see <http://www.gnu.org/licenses/>. |
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16 */ |
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17 |
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18 #include "form.h" |
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19 #include "boundarycondition.h" |
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20 |
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21 DEFUN_DLD (assemble_system, args, nargout, "-*- texinfo -*-\n\ |
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22 @deftypefn {Function File} {[@var{A}], [@var{b}], [@var{x}(Optional)]} = \ |
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23 assemble_system (@var{form a}, @var{form L}, @var{DirichletBC}(Optional), @var{...}) \n\ |
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24 The input arguments are\n\ |
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25 @itemize @bullet\n\ |
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26 @item @var{form a} the bilinear form to assemble.\n\ |
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27 @item @var{form a} the linear form to assemble.\n\ |
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28 @item @var{DirichletBC} represents the optional BC that you wish to apply to\n\ |
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29 the system. If more than one BC has to be applied, just list them.\n\ |
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30 @end itemize \n\ |
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31 The output @var{A} is a discretized representation of the system:\n\ |
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32 @itemize @bullet\n\ |
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33 @item @var{A} is the sparse Matrix corresponding to the @var{form a}\n\ |
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34 @item @var{A} is the Vector corresponding to the @var{form L}\n\ |
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35 @end itemize \n\ |
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36 If you need to apply boundary condition to a system for a nonlinear problem \n\ |
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37 then you should provide as 3rd argument the vector and you will receive it back\n\ |
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38 as the third output argument. For an example of this situation, you can look\n\ |
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39 the example HyperElasticity.m\n\ |
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40 @seealso{BilinearForm, LinearForm, ResidualForm, JacobianForm}\n\ |
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41 @end deftypefn") |
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42 { |
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43 int nargin = args.length (); |
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44 octave_value_list retval; |
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45 if (! form_type_loaded) |
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46 { |
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47 form::register_type (); |
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48 form_type_loaded = true; |
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49 mlock (); |
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50 } |
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51 |
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52 if (! boundarycondition_type_loaded) |
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53 { |
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54 boundarycondition::register_type (); |
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55 boundarycondition_type_loaded = true; |
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56 mlock (); |
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57 } |
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58 |
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59 if (nargout == 2) |
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60 { |
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61 if (nargin < 2) |
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62 print_usage (); |
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63 else |
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64 { |
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65 |
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66 if (args(0).type_id () == form::static_type_id () |
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67 && args(1).type_id () == form::static_type_id ()) |
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68 { |
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69 const form & frm1 = static_cast<const form&> (args(0).get_rep ()); |
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70 const form & frm2 = static_cast<const form&> (args(1).get_rep ()); |
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71 |
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72 if (! error_state) |
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73 { |
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74 const dolfin::Form & a = frm1.get_form (); |
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75 const dolfin::Form & b = frm2.get_form (); |
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76 a.check (); |
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77 b.check (); |
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78 |
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79 if (a.rank () == 2 && b.rank () == 1) |
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80 { |
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81 dolfin::Matrix A; |
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82 dolfin::assemble (A, a); |
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83 dolfin::Vector B; |
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84 dolfin::assemble (B, b); |
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85 |
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86 for (std::size_t i = 2; i < nargin; ++i) |
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87 { |
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88 if (args(i).type_id () == boundarycondition::static_type_id ()) |
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89 { |
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90 const boundarycondition & bc |
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91 = static_cast<const boundarycondition&> (args(i).get_rep ()); |
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92 |
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93 const std::vector<boost::shared_ptr <const dolfin::DirichletBC> > & pbc |
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94 = bc.get_bc (); |
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95 |
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96 for (std::size_t j = 0; j < pbc.size (); ++j) |
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97 pbc[j]->apply(A, B); |
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98 } |
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99 else |
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100 error ("assemble_system: unknown argument type"); |
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101 } |
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102 |
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103 std::cout << "Assembling Matrix from the bilinear form..." |
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104 << std::endl; |
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105 std::size_t nr = A.size (0), nc = A.size (1); |
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106 std::vector<double> data_tmp; |
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107 std::vector<std::size_t> cidx_tmp; |
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108 |
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109 octave_idx_type dims = A.size (0), nz = 0, ii = 0; |
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110 ColumnVector ridx (dims), cidx (dims), data (dims); |
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111 |
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112 for (std::size_t i = 0; i < nr; ++i) |
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113 { |
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114 A.getrow (i, cidx_tmp, data_tmp); |
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115 nz += cidx_tmp.size (); |
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116 if (dims < nz) |
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117 { |
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118 dims = 1.2 * ((nr * nz) / (i + 1));; |
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119 ridx.resize (dims); |
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120 cidx.resize (dims); |
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121 data.resize (dims); |
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122 } |
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123 |
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124 for (octave_idx_type j = 0; j < cidx_tmp.size (); ++j) |
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125 { |
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126 ridx.xelem (ii + j) = i + 1; |
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127 cidx.xelem (ii + j) = cidx_tmp [j] + 1; |
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128 data.xelem (ii + j) = data_tmp [j]; |
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129 } |
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130 ii = nz; |
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131 } |
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132 |
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133 ridx.resize (ii); |
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134 cidx.resize (ii); |
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135 data.resize (ii); |
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136 |
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137 SparseMatrix sm (data, ridx, cidx, nr, nc); |
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138 retval(0) = sm; |
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139 |
117
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140 std::cout << "Assembling Vector from the linear form..." |
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141 << std::endl; |
116
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142 dim_vector dim; |
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143 dim.resize (2); |
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144 dim(0) = B.size (); |
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145 dim(1) = 1; |
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146 Array<double> myb (dim); |
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147 |
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148 for (std::size_t i = 0; i < B.size (); ++i) |
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149 myb.xelem (i) = B[i]; |
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150 |
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151 retval(1) = myb; |
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152 } |
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153 } |
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154 else |
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155 error ("assemble_system: unknown size"); |
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156 } |
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157 } |
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158 } |
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159 else if (nargout == 3) |
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160 { |
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161 std::cout << "Assemble_system: apply boundary condition to a vector for a nonlinear problem..." |
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162 << std::endl; |
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163 if (nargin < 3) |
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164 print_usage (); |
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165 else |
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166 { |
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167 if (args(0).type_id () == form::static_type_id () |
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168 && args(1).type_id () == form::static_type_id ()) |
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169 { |
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170 const form & frm1 = static_cast<const form&> (args(0).get_rep ()); |
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171 const form & frm2 = static_cast<const form&> (args(1).get_rep ()); |
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172 const Array<double> myx = args(2).array_value (); |
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173 |
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174 if (! error_state) |
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175 { |
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176 const dolfin::Form & a = frm1.get_form (); |
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177 const dolfin::Form & b = frm2.get_form (); |
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178 a.check (); |
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179 b.check (); |
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180 |
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181 if (a.rank () == 2 && b.rank () == 1) |
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182 { |
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183 dolfin::Matrix A; |
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184 dolfin::assemble (A, a); |
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185 dolfin::Vector B; |
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186 dolfin::assemble (B, b); |
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187 dolfin::Vector x (myx.length ()); |
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188 |
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189 for (std::size_t i = 0; i < myx.length (); ++i) |
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190 x.setitem (i, myx.xelem (i)); |
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191 |
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192 for (std::size_t i = 3; i < nargin; ++i) |
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193 { |
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194 if (args(i).type_id () == boundarycondition::static_type_id ()) |
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195 { |
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196 const boundarycondition & bc |
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197 = static_cast<const boundarycondition&> (args(i).get_rep ()); |
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198 |
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199 const std::vector<boost::shared_ptr <const dolfin::DirichletBC> > & pbc |
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200 = bc.get_bc (); |
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201 |
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202 for (std::size_t j = 0; j < pbc.size (); ++j) |
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203 pbc[j]->apply(A, B, x); |
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204 } |
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205 else |
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206 error ("assemble_system: unknown argument type"); |
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207 } |
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208 |
117
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209 std::cout << "Assembling Matrix from the bilinear form..." |
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210 << std::endl; |
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211 std::size_t nr = A.size (0), nc = A.size (1); |
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212 std::vector<double> data_tmp; |
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213 std::vector<std::size_t> cidx_tmp; |
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214 |
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215 octave_idx_type dims = A.size (0), nz = 0, ii = 0; |
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216 ColumnVector ridx (dims), cidx (dims), data (dims); |
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217 |
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218 for (std::size_t i = 0; i < nr; ++i) |
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219 { |
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220 A.getrow (i, cidx_tmp, data_tmp); |
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221 nz += cidx_tmp.size (); |
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222 if (dims < nz) |
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223 { |
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224 dims = 1.2 * ((nr * nz) / (i + 1));; |
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225 ridx.resize (dims); |
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226 cidx.resize (dims); |
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227 data.resize (dims); |
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228 } |
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229 |
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230 for (octave_idx_type j = 0; j < cidx_tmp.size (); ++j) |
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231 { |
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232 ridx.xelem (ii + j) = i + 1; |
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233 cidx.xelem (ii + j) = cidx_tmp [j] + 1; |
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234 data.xelem (ii + j) = data_tmp [j]; |
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235 } |
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236 |
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237 ii = nz; |
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238 } |
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239 |
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240 ridx.resize (ii); |
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241 cidx.resize (ii); |
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242 data.resize (ii); |
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243 |
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244 SparseMatrix sm (data, ridx, cidx, nr, nc); |
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245 retval(0) = sm; |
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246 |
117
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247 std::cout << "Assembling Vector from the linear form..." |
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248 << std::endl; |
97
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249 dim_vector dim; |
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250 dim.resize (2); |
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251 dim(0) = B.size (); |
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252 dim(1) = 1; |
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253 Array<double> myb (dim), myc (dim); |
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254 |
97
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255 for (std::size_t i = 0; i < B.size (); ++i) |
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256 { |
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257 myb.xelem (i) = B[i]; |
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258 myc.xelem (i) = x[i]; |
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259 } |
91
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260 |
97
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261 retval(1) = myb; |
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262 retval(2) = myc; |
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263 } |
91
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264 } |
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265 else |
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266 error ("assemble_system: unknown size"); |
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267 } |
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268 } |
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269 } |
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270 return retval; |
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271 } |