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// ************************************************************************
//
// Intrepid Package
// Copyright (2007) 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? Contact Pavel Bochev (pbboche@sandia.gov) or
// Denis Ridzal (dridzal@sandia.gov).
//
// ************************************************************************
// @HEADER
/** \file Intrepid_CubaturePolylib.hpp
\brief Header file for the Intrepid::CubaturePolylib class.
\author Created by P. Bochev and D. Ridzal.
*/
#ifndef INTREPID_CUBATURE_POLYLIB_HPP
#define INTREPID_CUBATURE_POLYLIB_HPP
#include "Intrepid_ConfigDefs.hpp"
#include "Intrepid_Cubature.hpp"
#include "Intrepid_Polylib.hpp"
#include "Teuchos_TestForException.hpp"
namespace Intrepid {
/** \class Intrepid::CubaturePolylib
\brief Utilizes cubature (integration) rules contained in the library Polylib
(Spencer Sherwin, Aeronautics, Imperial College London) within Intrepid.
They are based on zeros of Jacobi polynomials,
e.g. Legendre (alpha=beta=0, default), Chebyshev (alpha=beta=-0.5), etc.
They are given on the interval [-1,1] and are optimal with respect to
the following requirements, yielding 4 subclasses:
\li Gauss - no restrictions (all integration points are contained in the open interval (-1,1))
\li Gauss-Radau-Left - left-most integration point is fixed at -1
\li Gauss-Radau-Right - right-most integration point is fixed at +1
\li Gauss-Lobatto - left-most and right-most integration points are fixed at -1 and +1, respectively
*/
template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class CubaturePolylib : public Intrepid::Cubature<Scalar,ArrayPoint,ArrayWeight> {
private:
/** \brief The degree of polynomials that are integrated
exactly by this cubature rule.
*/
int degree_;
/** \brief Dimension of integration domain.
*/
int dimension_;
/** \brief Type of integration points.
*/
EIntrepidPLPoly poly_type_;
/** \brief Jacobi parameter alpha.
*/
Scalar alpha_;
/** \brief Jacobi parameter beta.
*/
Scalar beta_;
/** \brief Cubature name.
*/
static const char *cubature_name_;
public:
~CubaturePolylib() {}
/** \brief Constructor.
\param degree [in] - The degree of polynomials that are integrated
exactly by this cubature rule. Default: 0.
*/
CubaturePolylib(int degree = 0, EIntrepidPLPoly pt_type = PL_GAUSS, Scalar alpha = 0.0, Scalar beta = 0.0);
/** \brief Returns cubature points and weights
(return arrays must be pre-sized/pre-allocated).
\param cubPoints [out] - Array containing the cubature points.
\param cubWeights [out] - Array of corresponding cubature weights.
*/
void getCubature(ArrayPoint & cubPoints,
ArrayWeight & cubWeights) const;
/** \brief Returns the number of cubature points.
*/
int getNumPoints() const;
/** \brief Returns dimension of integration domain.
*/
virtual int getDimension() const;
/** \brief Returns max. degree of polynomials that are integrated exactly.
The return vector has size 1.
*/
void getAccuracy(std::vector<int> & accuracy) const;
/** \brief Returns cubature name.
*/
const char* getName() const;
}; // end class CubaturePolylib
} // end namespace Intrepid
// include templated definitions
#include <Intrepid_CubaturePolylibDef.hpp>
#endif
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