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Quadrature formula on tetrahedra. More...
#include <Galeri_TetQuadrature.h>
Public Member Functions | |
| TetQuadrature (const int NumQuadrNodes) | |
| Constructor. | |
| void | ComputeJacobian (const int QuadrNode, const double *x, const double *y, const double *z) const |
| Computes the Jacobian at the specified quadrature node. | |
| void | ComputeQuadrNodes (const int ii, const double *x, const double *y, const double *z, double &xq, double &yq, double &zq) const |
| Maps the quadrature nodes from the reference element to the actual one. | |
| void | ComputeDerivatives (const int QuadrNode) const |
| Computes the derivatives at the specified quadrature node. | |
| double | QuadrWeight (const int QuadrNode) const |
| Computes the weight at the specified quadrature node. | |
| double | DetJacobian (const int QuadrNode) const |
| Computes the determinant of the Jacobian matrix at the quadrature node. | |
| double | Phi (const int i) const |
| Returns the value of the i-th basis function on the reference element. | |
| double | PhiX (const int i) const |
| Returns the value of the x-derivative i-th basis function on the reference element. | |
| double | PhiY (const int i) const |
| Returns the value of the y-derivative i-th basis function on the reference element. | |
| double | PhiZ (const int i) const |
| Returns the value of the z-derivative i-th basis function on the reference element. | |
| double | Psi (const int i) const |
| Returns the value of the i-th test function on the reference element. | |
| double | PsiX (const int i) const |
| Returns the value of the z-derivative i-th test function on the reference element. | |
| double | PsiY (const int i) const |
| Returns the value of the y-derivative i-th test function on the reference element. | |
| double | PsiZ (const int i) const |
| Returns the value of the z-derivative i-th test function on the reference element. | |
| int | NumQuadrNodes () const |
| Returns the number of quadrature node per element. | |
| int | NumPhiFunctions () const |
| Returns the number of basis function on the reference element. | |
| int | NumPsiFunctions () const |
| Returns the number of test function on the reference element. | |
| TetQuadrature (const int NumQuadrNodes) | |
| Constructor. | |
| void | ComputeJacobian (const int QuadrNode, const double *x, const double *y, const double *z) const |
| Computes the Jacobian at the specified quadrature node. | |
| void | ComputeQuadrNodes (const int ii, const double *x, const double *y, const double *z, double &xq, double &yq, double &zq) const |
| Maps the quadrature nodes from the reference element to the actual one. | |
| void | ComputeDerivatives (const int QuadrNode) const |
| Computes the derivatives at the specified quadrature node. | |
| double | QuadrWeight (const int QuadrNode) const |
| Computes the weight at the specified quadrature node. | |
| double | DetJacobian (const int QuadrNode) const |
| Computes the determinant of the Jacobian matrix at the quadrature node. | |
| double | Phi (const int i) const |
| Returns the value of the i-th basis function on the reference element. | |
| double | PhiX (const int i) const |
| Returns the value of the x-derivative i-th basis function on the reference element. | |
| double | PhiY (const int i) const |
| Returns the value of the y-derivative i-th basis function on the reference element. | |
| double | PhiZ (const int i) const |
| Returns the value of the z-derivative i-th basis function on the reference element. | |
| double | Psi (const int i) const |
| Returns the value of the i-th test function on the reference element. | |
| double | PsiX (const int i) const |
| Returns the value of the z-derivative i-th test function on the reference element. | |
| double | PsiY (const int i) const |
| Returns the value of the y-derivative i-th test function on the reference element. | |
| double | PsiZ (const int i) const |
| Returns the value of the z-derivative i-th test function on the reference element. | |
| int | NumQuadrNodes () const |
| Returns the number of quadrature node per element. | |
| int | NumPhiFunctions () const |
| Returns the number of basis function on the reference element. | |
| int | NumPsiFunctions () const |
| Returns the number of test function on the reference element. | |
Protected Attributes | |
| int | NumQuadrNodes_ |
| int | NumDimensions_ |
| int | NumLocalNodes_ |
| double | det_J_ |
| Epetra_SerialDenseMatrix | J_ |
| Epetra_SerialDenseMatrix | basis_rs_ |
| Epetra_SerialDenseMatrix | basis_dr_ |
| Epetra_SerialDenseMatrix | basis_ds_ |
| Epetra_SerialDenseMatrix | basis_dt_ |
| Epetra_SerialDenseVector | basis_xy_ |
| Epetra_SerialDenseVector | basis_dx_ |
| Epetra_SerialDenseVector | basis_dy_ |
| Epetra_SerialDenseVector | basis_dz_ |
| Epetra_SerialDenseVector | basis_rs_temp_ |
| Epetra_SerialDenseVector | basis_dr_temp_ |
| Epetra_SerialDenseVector | basis_ds_temp_ |
| Epetra_SerialDenseVector | basis_dt_temp_ |
| Epetra_SerialDenseVector | Weight_ |
| Epetra_SerialDenseVector | qr_ |
| Epetra_SerialDenseVector | qs_ |
| Epetra_SerialDenseVector | qt_ |
Quadrature formula on tetrahedra.
| Galeri::FiniteElements::TetQuadrature::TetQuadrature | ( | const int | NumQuadrNodes | ) | [inline] |
Constructor.
| NumQuadrNodes | - (In) Number of quadrature nodes per element. Valid choices are: 1. |
| Galeri::FiniteElements::TetQuadrature::TetQuadrature | ( | const int | NumQuadrNodes | ) | [inline] |
Constructor.
| NumQuadrNodes | - (In) Number of quadrature nodes per element. Valid choices are: 1. |
1.7.6.1
