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// ************************************************************************
//
// Galeri: Finite Element and Matrix Generation Package
// Copyright (2006) ETHZ/Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA
//
// Questions about Galeri? Contact Marzio Sala (marzio.sala _AT_ gmail.com)
//
// ************************************************************************
// @HEADER
#ifndef GALERI_ABSTRACTQUADRATURE_H
#define GALERI_ABSTRACTQUADRATURE_H
/*!
* \file Galeri_AbstractQuadrature.h
*/
#include "Galeri_AbstractVariational.h"
namespace Galeri {
namespace FiniteElements {
/*!
* \class AbstractQuadrature
*
* \brief Interfaces for quadrature over elements.
*
AbstractQuadrature is a pure virtual class that defines a set of
abstract interfaces to basis and test functions (and their
derivatives), and also furnishes all the tools required to
numerically integrate over an element.
*
* \author Marzio Sala, SNL 9214.
*
* \date Last updated on Apr-05.
*/
class AbstractQuadrature
{
public:
// @{ \name Constructor and destructor
//! Destructor.
virtual ~AbstractQuadrature() {}
// @}
// @{ \name Query methods
//! Returns the number of quadrature node per element.
virtual int NumQuadrNodes() const = 0;
//! Returns the number of basis function on the reference element.
virtual int NumPhiFunctions() const = 0;
//! Returns the number of test function on the reference element.
virtual int NumPsiFunctions() const = 0;
// @}
// @{ \name Integration methods
//! Computes the Jacobian at the specified quadrature node.
virtual void ComputeJacobian(const int QuadrNode,
const double* x,
const double* y,
const double* z) const = 0;
//! Maps the quadrature nodes from the reference element to the actual one.
virtual void ComputeQuadrNodes(const int QuadrNode, const double* x,
const double* y, const double* z,
double& xq, double& yq, double& zq) const = 0;
//! Computes the derivatives at the specified quadrature node.
virtual void ComputeDerivatives(const int QuadrNode) const = 0;
//! Computes the weight at the specified quadrature node.
virtual double QuadrWeight(const int QuadrNode) const = 0;
//! Computes the determinant of the Jacobian matrix at the quadrature node.
virtual double DetJacobian(const int QuadrNode) const = 0;
// @}
// @{ \name Basis and test functions.
//! Returns the value of the i-th basis function on the reference element.
virtual double Phi(const int i) const = 0;
//! Returns the value of the x-derivative i-th basis function on the reference element.
virtual double PhiX(const int i) const = 0;
//! Returns the value of the y-derivative i-th basis function on the reference element.
virtual double PhiY(const int i) const = 0;
//! Returns the value of the z-derivative i-th basis function on the reference element.
virtual double PhiZ(const int i) const = 0;
//! Returns the value of the i-th test function on the reference element.
virtual double Psi(const int i) const = 0;
//! Returns the value of the z-derivative i-th test function on the reference element.
virtual double PsiX(const int i) const = 0;
//! Returns the value of the y-derivative i-th test function on the reference element.
virtual double PsiY(const int i) const = 0;
//! Returns the value of the z-derivative i-th test function on the reference element.
virtual double PsiZ(const int i) const = 0;
// @}
};
} // namespace FiniteElements
} // namespace Galeri
#endif
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