1 | /*
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2 | * vmg - a versatile multigrid solver
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3 | * Copyright (C) 2012 Institute for Numerical Simulation, University of Bonn
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4 | *
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5 | * vmg is free software: you can redistribute it and/or modify
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6 | * it under the terms of the GNU General Public License as published by
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7 | * the Free Software Foundation, either version 3 of the License, or
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8 | * (at your option) any later version.
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9 | *
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10 | * vmg is distributed in the hope that it will be useful,
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11 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 | * GNU General Public License for more details.
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14 | *
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15 | * You should have received a copy of the GNU General Public License
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16 | * along with this program. If not, see <http://www.gnu.org/licenses/>.
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17 | */
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18 |
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19 | /**
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20 | * @file discretization_poisson_fd.cpp
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21 | * @author Julian Iseringhausen <isering@ins.uni-bonn.de>
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22 | * @date Mon Apr 18 13:03:47 2011
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23 | *
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24 | * @brief Discretization of the poisson equation
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25 | * using the standard 7-point stencil or
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26 | * the Collatz Mehrstellen Ansatz.
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27 | * Discretization error: O(h^2) or O(h^4)
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28 | *
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29 | */
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30 |
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31 | #ifdef HAVE_CONFIG_H
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32 | #include <libvmg_config.h>
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33 | #endif
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34 |
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35 | #include "discretization/discretization_poisson_fd.hpp"
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36 | #include "grid/grid.hpp"
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37 | #include "mg.hpp"
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38 |
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39 | using namespace VMG;
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40 |
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41 | void DiscretizationPoissonFD::InitDiscretizationPoissonFD()
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42 | {
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43 | switch (order)
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44 | {
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45 | case 2:
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46 | stencil.SetDiag(6.0);
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47 | stencil.push_back(-1, 0, 0, -1.0);
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48 | stencil.push_back( 1, 0, 0, -1.0);
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49 | stencil.push_back( 0, -1, 0, -1.0);
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50 | stencil.push_back( 0, 1, 0, -1.0);
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51 | stencil.push_back( 0, 0, -1, -1.0);
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52 | stencil.push_back( 0, 0, 1, -1.0);
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53 | break;
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54 | case 4:
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55 | stencil.SetDiag(24.0/6.0);
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56 | stencil.push_back(-1, 0, 0, -2.0/6.0);
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57 | stencil.push_back( 1, 0, 0, -2.0/6.0);
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58 | stencil.push_back( 0, -1, 0, -2.0/6.0);
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59 | stencil.push_back( 0, 1, 0, -2.0/6.0);
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60 | stencil.push_back( 0, 0, -1, -2.0/6.0);
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61 | stencil.push_back( 0, 0, 1, -2.0/6.0);
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62 | stencil.push_back(-1, -1, 0, -1.0/6.0);
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63 | stencil.push_back(-1, 1, 0, -1.0/6.0);
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64 | stencil.push_back( 1, -1, 0, -1.0/6.0);
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65 | stencil.push_back( 1, 1, 0, -1.0/6.0);
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66 | stencil.push_back(-1, 0, -1, -1.0/6.0);
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67 | stencil.push_back(-1, 0, 1, -1.0/6.0);
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68 | stencil.push_back( 1, 0, -1, -1.0/6.0);
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69 | stencil.push_back( 1, 0, 1, -1.0/6.0);
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70 | stencil.push_back( 0, -1, -1, -1.0/6.0);
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71 | stencil.push_back( 0, -1, 1, -1.0/6.0);
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72 | stencil.push_back( 0, 1, -1, -1.0/6.0);
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73 | stencil.push_back( 0, 1, 1, -1.0/6.0);
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74 | break;
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75 | default:
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76 | assert(0 != "vmg choose discretization order 2 or 4");
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77 | break;
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78 | }
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79 | }
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80 |
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81 | void DiscretizationPoissonFD::ModifyRightHandSide()
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82 | {
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83 | if (order == 4) {
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84 |
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85 | Stencil stencil(6.0/12.0);
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86 | stencil.push_back(-1, 0, 0, 1.0/12.0);
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87 | stencil.push_back( 1, 0, 0, 1.0/12.0);
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88 | stencil.push_back( 0, -1, 0, 1.0/12.0);
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89 | stencil.push_back( 0, 1, 0, 1.0/12.0);
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90 | stencil.push_back( 0, 0, -1, 1.0/12.0);
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91 | stencil.push_back( 0, 0, 1, 1.0/12.0);
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92 |
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93 | stencil.Apply(MG::GetRhsMaxLevel());
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94 |
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95 | }
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96 | }
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