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// Intrepid Package
// Copyright (2007) Sandia Corporation
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// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
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// 2. Redistributions in binary form must reproduce the above copyright
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// 3. Neither the name of the Corporation nor the names of the
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// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// Denis Ridzal (dridzal@sandia.gov), or
// Kara Peterson (kjpeter@sandia.gov)
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// @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_Assert.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 cubature points and weights.
Method for physical space cubature, throws an exception.
\param cubPoints [out] - Array containing the cubature points.
\param cubWeights [out] - Array of corresponding cubature weights.
\param cellCoords [in] - Array of cell coordinates
*/
void getCubature(ArrayPoint& cubPoints,
ArrayWeight& cubWeights,
ArrayPoint& cellCoords) 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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