BasisFunction.cc 4.28 KB
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#include <algorithm>

#include "FixVec.h"
#include "DOFVector.h"
#include "BasisFunction.h"
#include "Lagrange.h"
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#include "OpenMP.h"
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namespace AMDiS {


  /****************************************************************************/
  /*  Lagrangian basisfunctions of order 0-4; these                           */
  /*  functions are evaluated in barycentric coordinates; the derivatives     */
  /*  are those corresponding to these barycentric coordinates.               */
  /****************************************************************************/

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  BasisFunction::BasisFunction(const std::string& name_, int dim_, int degree_)
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    : name(name_), 
      degree(degree_), 
      dim(dim_)
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  {
    FUNCNAME("BasisFunction::BasisFunction()");
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    nDOF = NEW DimVec<int>(dim, DEFAULT_VALUE, -1);
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    dow = Global::getGeo(WORLD);

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    grdTmpVec1.resize(omp_get_overall_max_threads());
    grdTmpVec2.resize(omp_get_overall_max_threads());
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    for (int i = 0; i < omp_get_overall_max_threads(); i++) {
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      grdTmpVec1[i] = NEW DimVec<double>(dim, DEFAULT_VALUE, 0.0);
      grdTmpVec2[i] = NEW DimVec<double>(dim, DEFAULT_VALUE, 0.0);
    }
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  }
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  BasisFunction::~BasisFunction()
  {
    DELETE nDOF;

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    for (int i = 0; i < static_cast<int>(grdTmpVec1.size()); i++) {
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      DELETE grdTmpVec1[i];
      DELETE grdTmpVec2[i];
    }
  }
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  /****************************************************************************/
  /*  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<double>& 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);
  }


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  const WorldVector<double>& BasisFunction::evalUh(const DimVec<double>& lambda, 
						   const WorldVector<double> *uh_loc,
						   WorldVector<double>* values) const 
  {
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    static WorldVector<double> Values(DEFAULT_VALUE, 0.0);
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    WorldVector<double> *val = (NULL != values) ? values : &Values;   
    
    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));
  }


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  const WorldVector<double>& BasisFunction::evalGrdUh(const DimVec<double>& lambda, 
						      const DimVec<WorldVector<double> >& grd_lambda,
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						      const double *uh_loc,  
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						      WorldVector<double>* val) const
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  {
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    TEST_EXIT_DBG(val)("return value is NULL\n");

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    int myRank = omp_get_thread_num();

    DimVec<double> *grdTmp1 = grdTmpVec1[myRank];
    DimVec<double> *grdTmp2 = grdTmpVec2[myRank];
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    for (int j = 0; j < dim + 1; j++)
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      (*grdTmp2)[j] = 0.0;
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    for (int i = 0; i < nBasFcts; i++) {
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      (*(*grdPhi)[i])(lambda, *grdTmp1);
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      for (int j = 0; j < dim + 1; j++)
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	(*grdTmp2)[j] += uh_loc[i] * (*grdTmp1)[j];
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    }

    for (int i = 0; i < dow; i++) {
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      (*val)[i] = 0.0;
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      for (int j = 0; j < dim + 1; j++)
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	(*val)[i] += grd_lambda[j][i] * (*grdTmp2)[j];
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    }
  
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    return ((*val));
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  }

  const WorldMatrix<double>& BasisFunction::evalD2Uh(const DimVec<double>& lambda,
						     const DimVec<WorldVector<double> >& grd_lambda,
						     const double *uh_loc, WorldMatrix<double>* D2_uh) const
  {
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    static WorldMatrix<double> D2(DEFAULT_VALUE, 0.0);
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    DimMat<double> D2_b(dim, DEFAULT_VALUE, 0.0);
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    DimMat<double> D2_tmp(dim, DEFAULT_VALUE, 0.0);
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    WorldMatrix<double> *val = D2_uh ? D2_uh : &D2;
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    for (int i = 0; i < nBasFcts; i++) {
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      (*(*d2Phi)[i])(lambda, D2_b);
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      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];
    }

    for (int i = 0; i < dow; i++)
      for (int j = 0; j < dow; j++) {
	(*val)[i][j] = 0.0;
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	for (int k = 0; k < dim + 1; k++)
	  for (int l = 0; l < dim + 1; l++)
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	    (*val)[i][j] += grd_lambda[k][i] * grd_lambda[l][j] * D2_tmp[k][l];
      }
    
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    return ((*val));
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  }


  int BasisFunction::getNumberOfDOFs(int i) const
  { 
    return (*nDOF)[i];
  }

}