BasisFunction.cc 3.87 KB
 Peter Gottschling committed Feb 15, 2008 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 ``````#include #include "FixVec.h" #include "DOFVector.h" #include "BasisFunction.h" #include "Lagrange.h" namespace AMDiS { /****************************************************************************/ /* Lagrangian basisfunctions of order 0-4; these */ /* functions are evaluated in barycentric coordinates; the derivatives */ /* are those corresponding to these barycentric coordinates. */ /****************************************************************************/ BasisFunction::~BasisFunction() { DELETE nDOF; } BasisFunction::BasisFunction(const ::std::string& name_, int dim_, int degree_) : name(name_), degree(degree_), dim(dim_) { FUNCNAME("BasisFunction::BasisFunction()"); nDOF = NEW DimVec(dim, DEFAULT_VALUE, -1); }; /****************************************************************************/ /* some routines for evaluation of a finite element function, its gradient */ /* and second derivatives; all those with _fast use the preevaluated */ /* basis functions at that point. */ /****************************************************************************/ double BasisFunction::evalUh(const DimVec& lambda, const double *uh_loc) const { double val = 0.0; for (int i = 0; i < nBasFcts; i++) val += uh_loc[i] * (*(*phi)[i])(lambda); return(val); } `````` Thomas Witkowski committed Mar 05, 2008 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 `````` const WorldVector& BasisFunction::evalUh(const DimVec& lambda, const WorldVector *uh_loc, WorldVector* values) const { static WorldVector Values(DEFAULT_VALUE, 0.); WorldVector *val = (NULL != values) ? values : &Values; int dow = Global::getGeo(WORLD); for (int n = 0; n < dow; n++) (*val)[n] = 0; for (int i = 0; i < nBasFcts; i++) { double phil = (*(*phi)[i])(lambda); for (int n = 0; n < dow; n++) (*val)[n] += uh_loc[i][n] * phil; } return((*val)); } `````` Peter Gottschling committed Feb 15, 2008 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 `````` const WorldVector& BasisFunction::evalGrdUh(const DimVec& lambda, const DimVec >& grd_lambda, const double *uh_loc, WorldVector* grd_uh) const { static WorldVector grd; DimVec grd_b(dim, DEFAULT_VALUE, 0.); WorldVector *val; DimVec grd1(dim, DEFAULT_VALUE, 0.); val = grd_uh ? grd_uh : &grd; for (int j = 0; j < dim + 1; j++) grd1[j] = 0.0; for (int i = 0; i < nBasFcts; i++) { grd_b = (*(*grdPhi)[i])(lambda); for (int j = 0; j < dim + 1; j++) grd1[j] += uh_loc[i] * grd_b[j]; } int dow = Global::getGeo(WORLD); for (int i = 0; i < dow; i++) { (*val)[i] = 0; for (int j = 0; j < dim + 1; j++) (*val)[i] += grd_lambda[j][i] * grd1[j]; } return((*val)); } const WorldMatrix& BasisFunction::evalD2Uh(const DimVec& lambda, const DimVec >& grd_lambda, const double *uh_loc, WorldMatrix* D2_uh) const { static WorldMatrix D2(DEFAULT_VALUE, 0.); DimMat D2_b(dim, NO_INIT); WorldMatrix *val; DimMat D2_tmp(dim, DEFAULT_VALUE, 0.0); val = D2_uh ? D2_uh : &D2; for (int i = 0; i < nBasFcts; i++) { D2_b = (*(*d2Phi)[i])(lambda); for (int k = 0; k < dim + 1; k++) for (int l = 0; l < dim + 1; l++) D2_tmp[k][l] += uh_loc[i] * D2_b[k][l]; } int dow = Global::getGeo(WORLD); for (int i = 0; i < dow; i++) for (int j = 0; j < dow; j++) { (*val)[i][j] = 0.0; for (int k = 0; k < dim+1; k++) for (int l = 0; l < dim+1; l++) (*val)[i][j] += grd_lambda[k][i] * grd_lambda[l][j] * D2_tmp[k][l]; } return((*val)); } int BasisFunction::getNumberOfDOFs(int i) const { return (*nDOF)[i]; } }``````