BF_N_T_RT3_3D.h

// ***********************************************************************
// Raviart-Thomas element of third order on tetrahedra, 3D
// ***********************************************************************

static double N_T_RT3_3D_CM[4900] = {

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};

static void N_T_RT3_3D_Funct(double xi, double eta, double zeta,
                             double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={1,0,0,xi,0,0,eta,0,0,zeta,0,0,
                  xi*xi,0,0,xi*eta,0,0,xi*zeta,0,0,
                  eta*eta,0,0,eta*zeta,0,0,zeta*zeta,0,0,
                  xi*xi*xi,0,0,xi*xi*eta,0,0,xi*xi*zeta,0,0,
                  xi*eta*eta,0,0,xi*eta*zeta,0,0,xi*zeta*zeta,0,0,
                  eta*eta*eta,0,0,eta*eta*zeta,0,0,eta*zeta*zeta,0,0,
                  zeta*zeta*zeta,0,0,
                  xi*xi*xi*xi,xi*xi*xi*eta,xi*xi*xi*zeta,
                  xi*xi*eta*eta,xi*xi*eta*zeta,xi*xi*zeta*zeta,
                  xi*eta*eta*eta,xi*eta*eta*zeta,xi*eta*zeta*zeta,
                  xi*zeta*zeta*zeta};
  double mon_y[]={0,1,0,0,xi,0,0,eta,0,0,zeta,0,
                  0,xi*xi,0,0,xi*eta,0,0,xi*zeta,0,
                  0,eta*eta,0,0,eta*zeta,0,0,zeta*zeta,0,
                  0,xi*xi*xi,0,0,xi*xi*eta,0,0,xi*xi*zeta,0,
                  0,xi*eta*eta,0,0,xi*eta*zeta,0,0,xi*zeta*zeta,0,
                  0,eta*eta*eta,0,0,eta*eta*zeta,0,0,eta*zeta*zeta,0,
                  0,zeta*zeta*zeta,0,
                  xi*xi*xi*eta,xi*xi*eta*eta,xi*xi*eta*zeta,
                  xi*eta*eta*eta,xi*eta*eta*zeta,xi*eta*zeta*zeta,
                  eta*eta*eta*eta,eta*eta*eta*zeta,eta*eta*zeta*zeta,
                  eta*zeta*zeta*zeta};
  double mon_z[]={0,0,1,0,0,xi,0,0,eta,0,0,zeta,
                  0,0,xi*xi,0,0,xi*eta,0,0,xi*zeta,
                  0,0,eta*eta,0,0,eta*zeta,0,0,zeta*zeta,
                  0,0,xi*xi*xi,0,0,xi*xi*eta,0,0,xi*xi*zeta,
                  0,0,xi*eta*eta,0,0,xi*eta*zeta,0,0,xi*zeta*zeta,
                  0,0,eta*eta*eta,0,0,eta*eta*zeta,0,0,eta*zeta*zeta,
                  0,0,zeta*zeta*zeta,
                  xi*xi*xi*zeta,xi*xi*eta*zeta,xi*xi*zeta*zeta,
                  xi*eta*eta*zeta,xi*eta*zeta*zeta,xi*zeta*zeta*zeta,
                  eta*eta*eta*zeta,eta*eta*zeta*zeta,eta*zeta*zeta*zeta,
                  zeta*zeta*zeta*zeta};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveXi(double xi, double eta, double zeta,
                                double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,1,0,0,0,0,0,0,0,0,
                  2*xi,0,0,eta,0,0,zeta,0,0,
                  0,0,0,0,0,0,0,0,0,
                  3*xi*xi,0,0,2*xi*eta,0,0,2*xi*zeta,0,0,
                  eta*eta,0,0,eta*zeta,0,0,zeta*zeta,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  4*xi*xi*xi,3*xi*xi*eta,3*xi*xi*zeta,
                  2*xi*eta*eta,2*xi*eta*zeta,2*xi*zeta*zeta,
                  eta*eta*eta,eta*eta*zeta,eta*zeta*zeta,
                  zeta*zeta*zeta};
  double mon_y[]={0,0,0,0,1,0,0,0,0,0,0,0,
                  0,2*xi,0,0,eta,0,0,zeta,0,
                  0,0,0,0,0,0,0,0,0,
                  0,3*xi*xi,0,0,2*xi*eta,0,0,2*xi*zeta,0,
                  0,eta*eta,0,0,eta*zeta,0,0,zeta*zeta,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  3*xi*xi*eta,2*xi*eta*eta,2*xi*eta*zeta,
                  eta*eta*eta,eta*eta*zeta,eta*zeta*zeta,
                  0,0,0,
                  0};
  double mon_z[]={0,0,0,0,0,1,0,0,0,0,0,0,
                  0,0,2*xi,0,0,eta,0,0,zeta,
                  0,0,0,0,0,0,0,0,0,
                  0,0,3*xi*xi,0,0,2*xi*eta,0,0,2*xi*zeta,
                  0,0,eta*eta,0,0,eta*zeta,0,0,zeta*zeta,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  3*xi*xi*zeta,2*xi*eta*zeta,2*xi*zeta*zeta,
                  eta*eta*zeta,eta*zeta*zeta,zeta*zeta*zeta,
                  0,0,0,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveEta(double xi, double eta, double zeta,
                                 double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,1,0,0,0,0,0,
                  0,0,0,xi,0,0,0,0,0,
                  2*eta,0,0,zeta,0,0,0,0,0,
                  0,0,0,xi*xi,0,0,0,0,0,
                  xi*2*eta,0,0,xi*zeta,0,0,0,0,0,
                  3*eta*eta,0,0,2*eta*zeta,0,0,zeta*zeta,0,0,
                  0,0,0,
                  0,xi*xi*xi,0,
                  xi*xi*2*eta,xi*xi*zeta,0,
                  xi*3*eta*eta,xi*2*eta*zeta,xi*zeta*zeta,
                  0};
  double mon_y[]={0,0,0,0,0,0,0,1,0,0,0,0,
                  0,0,0,0,xi,0,0,0,0,
                  0,2*eta,0,0,zeta,0,0,0,0,
                  0,0,0,0,xi*xi,0,0,0,0,
                  0,xi*2*eta,0,0,xi*zeta,0,0,0,0,
                  0,3*eta*eta,0,0,2*eta*zeta,0,0,zeta*zeta,0,
                  0,0,0,
                  xi*xi*xi,xi*xi*2*eta,xi*xi*zeta,
                  xi*3*eta*eta,xi*2*eta*zeta,xi*zeta*zeta,
                  4*eta*eta*eta,3*eta*eta*zeta,2*eta*zeta*zeta,
                  zeta*zeta*zeta};
  double mon_z[]={0,0,0,0,0,0,0,0,1,0,0,0,
                  0,0,0,0,0,xi,0,0,0,
                  0,0,2*eta,0,0,zeta,0,0,0,
                  0,0,0,0,0,xi*xi,0,0,0,
                  0,0,xi*2*eta,0,0,xi*zeta,0,0,0,
                  0,0,3*eta*eta,0,0,2*eta*zeta,0,0,zeta*zeta,
                  0,0,0,
                  0,xi*xi*zeta,0,
                  xi*2*eta*zeta,xi*zeta*zeta,0,
                  3*eta*eta*zeta,2*eta*zeta*zeta,zeta*zeta*zeta,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveZeta(double xi, double eta, double zeta,
                                  double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,1,0,0,
                  0,0,0,0,0,0,xi,0,0,
                  0,0,0,eta,0,0,2*zeta,0,0,
                  0,0,0,0,0,0,xi*xi,0,0,
                  0,0,0,xi*eta,0,0,xi*2*zeta,0,0,
                  0,0,0,eta*eta,0,0,eta*2*zeta,0,0,
                  3*zeta*zeta,0,0,
                  0,0,xi*xi*xi,
                  0,xi*xi*eta,xi*xi*2*zeta,
                  0,xi*eta*eta,xi*eta*2*zeta,
                  xi*3*zeta*zeta};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,1,0,
                  0,0,0,0,0,0,0,xi,0,
                  0,0,0,0,eta,0,0,2*zeta,0,
                  0,0,0,0,0,0,0,xi*xi,0,
                  0,0,0,0,xi*eta,0,0,xi*2*zeta,0,
                  0,0,0,0,eta*eta,0,0,eta*2*zeta,0,
                  0,3*zeta*zeta,0,
                  0,0,xi*xi*eta,
                  0,xi*eta*eta,xi*eta*2*zeta,
                  0,eta*eta*eta,eta*eta*2*zeta,
                  eta*3*zeta*zeta};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,1,
                  0,0,0,0,0,0,0,0,xi,
                  0,0,0,0,0,eta,0,0,2*zeta,
                  0,0,0,0,0,0,0,0,xi*xi,
                  0,0,0,0,0,xi*eta,0,0,xi*2*zeta,
                  0,0,0,0,0,eta*eta,0,0,eta*2*zeta,
                  0,0,3*zeta*zeta,
                  xi*xi*xi,xi*xi*eta,xi*xi*2*zeta,
                  xi*eta*eta,xi*eta*2*zeta,xi*3*zeta*zeta,
                  eta*eta*eta,eta*eta*2*zeta,eta*3*zeta*zeta,
                  4*zeta*zeta*zeta};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveXiXi(double xi, double eta, double zeta,
                                  double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  2,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  3*2*xi,0,0,2*eta,0,0,2*zeta,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  4*3*xi*xi,3*2*xi*eta,3*2*xi*zeta,
                  2*eta*eta,2*eta*zeta,2*zeta*zeta,
                  0,0,0,
                  0};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,2,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,3*2*xi,0,0,2*eta,0,0,2*zeta,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  3*2*xi*eta,2*eta*eta,2*eta*zeta,
                  0,0,0,
                  0,0,0,
                  0};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,2,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,3*2*xi,0,0,2*eta,0,0,2*zeta,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  3*2*xi*zeta,2*eta*zeta,2*zeta*zeta,
                  0,0,0,
                  0,0,0,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveXiEta(double xi, double eta, double zeta,
                                   double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,1,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,2*xi,0,0,0,0,0,
                  2*eta,0,0,zeta,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  0,3*xi*xi,0,
                  2*xi*2*eta,2*xi*zeta,0,
                  3*eta*eta,2*eta*zeta,zeta*zeta,
                  0};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,1,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,2*xi,0,0,0,0,
                  0,2*eta,0,0,zeta,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  3*xi*xi,2*xi*2*eta,2*xi*zeta,
                  3*eta*eta,2*eta*zeta,zeta*zeta,
                  0,0,0,
                  0};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,1,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,2*xi,0,0,0,
                  0,0,2*eta,0,0,zeta,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  0,2*xi*zeta,0,
                  2*eta*zeta,zeta*zeta,0,
                  0,0,0,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveXiZeta(double xi, double eta, double zeta,
                                    double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,1,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,2*xi,0,0,
                  0,0,0,eta,0,0,2*zeta,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  0,0,3*xi*xi,
                  0,2*xi*eta,2*xi*2*zeta,
                  0,eta*eta,eta*2*zeta,
                  3*zeta*zeta};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,1,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,2*xi,0,
                  0,0,0,0,eta,0,0,2*zeta,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  0,0,2*xi*eta,
                  0,eta*eta,eta*2*zeta,
                  0,0,0,
                  0};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,1,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,2*xi,
                  0,0,0,0,0,eta,0,0,2*zeta,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,
                  3*xi*xi,2*xi*eta,2*xi*2*zeta,
                  eta*eta,eta*2*zeta,3*zeta*zeta,
                  0,0,0,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveEtaEta(double xi, double eta, double zeta,
                                    double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  2,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  xi*2,0,0,0,0,0,0,0,0,
                  3*2*eta,0,0,2*zeta,0,0,0,0,0,
                  0,0,0,
                  0,0,0,
                  xi*xi*2,0,0,
                  xi*3*2*eta,xi*2*zeta,0,
                  0};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,2,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,xi*2,0,0,0,0,0,0,0,
                  0,3*2*eta,0,0,2*zeta,0,0,0,0,
                  0,0,0,
                  0,xi*xi*2,0,
                  xi*3*2*eta,xi*2*zeta,0,
                  4*3*eta*eta,3*2*eta*zeta,2*zeta*zeta,
                  0};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,2,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,xi*2,0,0,0,0,0,0,
                  0,0,3*2*eta,0,0,2*zeta,0,0,0,
                  0,0,0,
                  0,0,0,
                  xi*2*zeta,0,0,
                  3*2*eta*zeta,2*zeta*zeta,0,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveEtaZeta(double xi, double eta, double zeta,
                                     double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,1,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,xi,0,0,0,0,0,
                  0,0,0,2*eta,0,0,2*zeta,0,0,
                  0,0,0,
                  0,0,0,
                  0,xi*xi,0,
                  0,xi*2*eta,xi*2*zeta,
                  0};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,1,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,xi,0,0,0,0,
                  0,0,0,0,2*eta,0,0,2*zeta,0,
                  0,0,0,
                  0,0,xi*xi,
                  0,xi*2*eta,xi*2*zeta,
                  0,3*eta*eta,2*eta*2*zeta,
                  3*zeta*zeta};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,1,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,xi,0,0,0,
                  0,0,0,0,0,2*eta,0,0,2*zeta,
                  0,0,0,
                  0,xi*xi,0,
                  xi*2*eta,xi*2*zeta,0,
                  3*eta*eta,2*eta*2*zeta,3*zeta*zeta,
                  0};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

static void N_T_RT3_3D_DeriveZetaZeta(double xi, double eta, double zeta,
                                      double *values)
{
  int nBF = 70; // number of basis functions
  // monomials x-component, y-component and z-component
  double mon_x[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,2,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,xi*2,0,0,
                  0,0,0,0,0,0,eta*2,0,0,
                  3*2*zeta,0,0,
                  0,0,0,
                  0,0,xi*xi*2,
                  0,0,xi*eta*2,
                  xi*3*2*zeta};
  double mon_y[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,2,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,xi*2,0,
                  0,0,0,0,0,0,0,eta*2,0,
                  0,3*2*zeta,0,
                  0,0,0,
                  0,0,xi*eta*2,
                  0,0,eta*eta*2,
                  eta*3*2*zeta};
  double mon_z[]={0,0,0,0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,2,
                  0,0,0,0,0,0,0,0,0,
                  0,0,0,0,0,0,0,0,xi*2,
                  0,0,0,0,0,0,0,0,eta*2,
                  0,0,3*2*zeta,
                  0,0,xi*xi*2,
                  0,xi*eta*2,xi*3*2*zeta,
                  0,eta*eta*2,eta*3*2*zeta,
                  4*3*zeta*zeta};

  memset(values, 0.0, 3*nBF*SizeOfDouble); // 3 is the space dimension
  for(int i=0; i<nBF; i++)
  {
    for(int j=0; j<nBF; j++)
    {
      values[i      ] += N_T_RT3_3D_CM[i+j*nBF]*mon_x[j];
      values[i+  nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_y[j];
      values[i+2*nBF] += N_T_RT3_3D_CM[i+j*nBF]*mon_z[j];
    }
  }
}

TBaseFunct3D *BF_N_T_RT3_3D_Obj =
new TBaseFunct3D(70, BF_N_T_RT3_3D, BFUnitTetrahedron,
                 N_T_RT3_3D_Funct, N_T_RT3_3D_DeriveXi,
                 N_T_RT3_3D_DeriveEta, N_T_RT3_3D_DeriveZeta,
                 N_T_RT3_3D_DeriveXiXi, N_T_RT3_3D_DeriveXiEta,
                 N_T_RT3_3D_DeriveXiZeta, N_T_RT3_3D_DeriveEtaEta,
                 N_T_RT3_3D_DeriveEtaZeta, N_T_RT3_3D_DeriveZetaZeta,
                 4, 1,
                 0, NULL, 3);