SundanceFeketeQuadrature.hpp

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#ifndef SUNDANCE_FEKETEQUADRATURE_H
#define SUNDANCE_FEKETEQUADRATURE_H

#include "SundanceDefs.hpp"
#include "Teuchos_RefCountPtr.hpp"
#include "SundanceQuadratureFamilyBase.hpp"

namespace Sundance
{

using namespace Teuchos;

/**
 * Family of Fekete approach integration rules, suitable for integration
 * over arbitrary regions
 * (For tensor elements the Gauss-Lobatto points are Fekete points)
 */
class FeketeQuadrature: public QuadratureFamilyBase
{
public:
  /** */
  FeketeQuadrature(int order);

  /** */
  virtual ~FeketeQuadrature()
  {;}

  /** */
  virtual XMLObject toXML() const;

  /** Describable interface */
  virtual std::string description() const
  {
    return "FeketeQuadrature[order=" + Teuchos::toString(order()) + "]";
  }

  /* handleable boilerplate */
  GET_RCP(QuadratureFamilyStub)
  ;

protected:
  /** compute a rule for the reference line cell */
  virtual void getLineRule(Array<Point>& quadPoints,
      Array<double>& quadWeights) const;

  /** compute a rule for the reference triangle cell */
  virtual void getTriangleRule(Array<Point>& quadPoints,
      Array<double>& quadWeights) const;

  /** compute a rule for the reference quad cell */
  virtual void getQuadRule(Array<Point>& quadPoints,
      Array<double>& quadWeights) const;

  /** compute a rule for the reference brick cell */
  virtual void getBrickRule(Array<Point>& quadPoints,
      Array<double>& quadWeights) const;

  /**
   * Compute adapted weights according to curve
   *
   * @param cellType
   * @param cellDim
   * @param cellLID
   * @param facetIndex
   * @param mesh
   * @param globalCurve
   * @param quadPoints
   * @param quadWeights
   * @param changedWeights
   */
  virtual void getAdaptedWeights(const CellType& cellType, int cellDim,
      int cellLID, int facetIndex, const Mesh& mesh,
      const ParametrizedCurve& globalCurve,
      Array<Point>& quadPoints, Array<double>& quadWeights,
      bool &weightsChanged) const;

  virtual void getAdaptedTriangleWeights(int cellLID, const Mesh& mesh,
      const ParametrizedCurve& globalCurve, Array<Point>& quadPoints,
      Array<double>& quadWeights, bool& weightsChanged) const;

  virtual void getAdaptedQuadWeights(int cellLID, const Mesh& mesh,
      const ParametrizedCurve& globalCurve, Array<Point>& quadPoints,
      Array<double>& quadWeights, bool& weightsChanged) const;

  virtual void integrateRegion(const CellType& cellType, int cellDim,
      const int innerOrder, const Point& x, const Point& xref,
      const Point& vec1, const Point& vec2, const Point& vec1ref,
      const Point& vec2ref, const ParametrizedCurve& curve,
      Array<double>& integrals) const;

  virtual void evaluateAllBasisFunctions(const CellType cellType, const Point& q,
      Array<double>& result) const;

private:

  mutable bool _hasBasisCoeffs;
  mutable Array<double> _basisCoeffs;
};
}

#endif