Galeri::FiniteElements::HexQuadrature Class Reference

Quadrature formula on hexahedra. More...

#include <Galeri_HexQuadrature.h>

Inheritance diagram for Galeri::FiniteElements::HexQuadrature:
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List of all members.

Public Member Functions

 HexQuadrature (const int NumQuadrNodes)
 Constructor.
 ~HexQuadrature ()
void ComputeJacobian (const int QuadrNode, const double *x_hex, const double *y_hex, const double *z_hex) 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_

Detailed Description

Quadrature formula on hexahedra.

Author:
Marzio Sala, SNL 9214.
Last updated on 02-Apr-05.

Definition at line 52 of file Galeri_HexQuadrature.h.


Constructor & Destructor Documentation

Galeri::FiniteElements::HexQuadrature::HexQuadrature ( const int  NumQuadrNodes  )  [inline]

Constructor.

Parameters:
NumQuadrNodes - (In) Number of quadrature nodes per element. Valid choices are: 1.

Definition at line 62 of file Galeri_HexQuadrature.h.

Galeri::FiniteElements::HexQuadrature::~HexQuadrature (  )  [inline]

Definition at line 182 of file Galeri_HexQuadrature.h.


Member Function Documentation

void Galeri::FiniteElements::HexQuadrature::ComputeJacobian ( const int  QuadrNode,
const double *  x,
const double *  y,
const double *  z 
) const [inline, virtual]

Computes the Jacobian at the specified quadrature node.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 185 of file Galeri_HexQuadrature.h.

void Galeri::FiniteElements::HexQuadrature::ComputeQuadrNodes ( const int  QuadrNode,
const double *  x,
const double *  y,
const double *  z,
double &  xq,
double &  yq,
double &  zq 
) const [inline, virtual]

Maps the quadrature nodes from the reference element to the actual one.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 270 of file Galeri_HexQuadrature.h.

void Galeri::FiniteElements::HexQuadrature::ComputeDerivatives ( const int  QuadrNode  )  const [inline, virtual]

Computes the derivatives at the specified quadrature node.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 290 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::QuadrWeight ( const int  QuadrNode  )  const [inline, virtual]

Computes the weight at the specified quadrature node.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 306 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::DetJacobian ( const int  QuadrNode  )  const [inline, virtual]

Computes the determinant of the Jacobian matrix at the quadrature node.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 311 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::Phi ( const int  i  )  const [inline, virtual]

Returns the value of the i-th basis function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 316 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::PhiX ( const int  i  )  const [inline, virtual]

Returns the value of the x-derivative i-th basis function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 321 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::PhiY ( const int  i  )  const [inline, virtual]

Returns the value of the y-derivative i-th basis function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 326 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::PhiZ ( const int  i  )  const [inline, virtual]

Returns the value of the z-derivative i-th basis function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 331 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::Psi ( const int  i  )  const [inline, virtual]

Returns the value of the i-th test function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 336 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::PsiX ( const int  i  )  const [inline, virtual]

Returns the value of the z-derivative i-th test function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 341 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::PsiY ( const int  i  )  const [inline, virtual]

Returns the value of the y-derivative i-th test function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 346 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::PsiZ ( const int  i  )  const [inline, virtual]

Returns the value of the z-derivative i-th test function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 351 of file Galeri_HexQuadrature.h.

int Galeri::FiniteElements::HexQuadrature::NumQuadrNodes (  )  const [inline, virtual]

Returns the number of quadrature node per element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 356 of file Galeri_HexQuadrature.h.

int Galeri::FiniteElements::HexQuadrature::NumPhiFunctions (  )  const [inline, virtual]

Returns the number of basis function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 361 of file Galeri_HexQuadrature.h.

int Galeri::FiniteElements::HexQuadrature::NumPsiFunctions (  )  const [inline, virtual]

Returns the number of test function on the reference element.

Implements Galeri::FiniteElements::AbstractQuadrature.

Definition at line 366 of file Galeri_HexQuadrature.h.


Member Data Documentation

Definition at line 373 of file Galeri_HexQuadrature.h.

Definition at line 374 of file Galeri_HexQuadrature.h.

Definition at line 375 of file Galeri_HexQuadrature.h.

double Galeri::FiniteElements::HexQuadrature::det_J_ [mutable, protected]

Definition at line 377 of file Galeri_HexQuadrature.h.

Definition at line 379 of file Galeri_HexQuadrature.h.

Definition at line 381 of file Galeri_HexQuadrature.h.

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Definition at line 400 of file Galeri_HexQuadrature.h.


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