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// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
//
// Contributed by Ismail Badia.
// Reference : "Higher-Order Finite Element Methods"; Pavel Solin, Karel
// Segeth ,
// Ivo Dolezel , Chapman and Hall/CRC; Edition : Har/Cdr (2003).
#include "HierarchicalBasisH1Line.h"
HierarchicalBasisH1Line::HierarchicalBasisH1Line(int pe)
{
_nvertex = 2;
_nedge = 1;
_nfaceTri = 0;
_nfaceQuad = 0;
_nVertexFunction = 2;
_nEdgeFunction = (pe - 1);
_nQuadFaceFunction = 0;
_nTriFaceFunction = 0;
_nBubbleFunction = 0;
_pe = pe;
}
HierarchicalBasisH1Line::~HierarchicalBasisH1Line() {}
unsigned int HierarchicalBasisH1Line::getNumberOfOrientations() const
{
return 2; // factorial 2
}
double HierarchicalBasisH1Line::_affineCoordinate(int j, double u)
{
switch(j) {
case(1): return 0.5 * (1 + u);
case(2): return 0.5 * (1 - u);
default: throw std::string("j must be : 1<=j<=2");
}
}
void HierarchicalBasisH1Line::generateBasis(double const &u, double const &v,
double const &w,
std::vector<double> &vertexBasis,
std::vector<double> &edgeBasis,
std::vector<double> &faceBasis,
std::vector<double> &bubbleBasis)
{
double lambda1 = _affineCoordinate(1, u);
double lambda2 = _affineCoordinate(2, u);
double product = lambda1 * lambda2;
double substraction = lambda1 - lambda2;
// vertex shape functions:
vertexBasis[0] = lambda2;
vertexBasis[1] = lambda1;
// edge functions :
for(int k = 2; k <= _pe; k++) {
edgeBasis[k - 2] =
product * OrthogonalPoly::EvalKernelFunction(k - 2, substraction);
}
}
void HierarchicalBasisH1Line::generateGradientBasis(
double const &u, double const &v, double const &w,
std::vector<std::vector<double> > &gradientVertex,
std::vector<std::vector<double> > &gradientEdge,
std::vector<std::vector<double> > &gradientFace,
std::vector<std::vector<double> > &gradientBubble)
{
double dlambda1 = 0.5;
double dlambda2 = -0.5;
// vertex gradient functions:
gradientVertex[0][0] = dlambda2;
gradientVertex[1][0] = dlambda1;
for(int k = 2; k <= _pe; k++) {
gradientEdge[k - 2][0] = OrthogonalPoly::EvalDLobatto(k, u);
}
}
void HierarchicalBasisH1Line::orientEdge(
int const &flagOrientation, int const &edgeNumber,
std::vector<double> &edgeFunctions,
const std::vector<double> &eTablePositiveFlag,
const std::vector<double> &eTableNegativeFlag)
{
if(flagOrientation == -1) {
for(int k = 0; k <= _pe - 2; k++) {
edgeFunctions[k] = eTableNegativeFlag[k];
}
}
else {
for(int k = 0; k <= _pe - 2; k++) {
edgeFunctions[k] = eTablePositiveFlag[k];
}
}
}
void HierarchicalBasisH1Line::orientEdge(
int const &flagOrientation, int const &edgeNumber,
std::vector<std::vector<double> > &edgeFunctions,
const std::vector<std::vector<double> > &eTablePositiveFlag,
const std::vector<std::vector<double> > &eTableNegativeFlag)
{
if(flagOrientation == -1) {
for(int k = 0; k <= _pe - 2; k++) {
edgeFunctions[k][0] = eTableNegativeFlag[k][0];
}
}
else {
for(int k = 0; k <= _pe - 2; k++) {
edgeFunctions[k][0] = eTablePositiveFlag[k][0];
}
}
}
void HierarchicalBasisH1Line::orientEdgeFunctionsForNegativeFlag(
std::vector<double> &edgeFunctions)
{
for(int k = 0; k <= _pe - 2; k++) {
if(k % 2 != 0) { edgeFunctions[k] = edgeFunctions[k] * (-1); }
}
}
void HierarchicalBasisH1Line::orientEdgeFunctionsForNegativeFlag(
std::vector<std::vector<double> > &edgeFunctions)
{
for(int k = 0; k <= _pe - 2; k++) {
if(k % 2 != 0) { edgeFunctions[k][0] = edgeFunctions[k][0] * (-1); }
}
}
void HierarchicalBasisH1Line::getKeysInfo(std::vector<int> &functionTypeInfo,
std::vector<int> &orderInfo)
{
functionTypeInfo[0] = 0;
orderInfo[0] = 1;
functionTypeInfo[1] = 0;
orderInfo[1] = 1;
for(int k = 2; k <= _pe; k++) {
orderInfo[k] = k;
functionTypeInfo[k] = 1;
}
}
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