Intrepid_HGRAD_LINE_Hermite_FEM.hpp

Go to the documentation of this file.

// @HEADER
// ************************************************************************
//
//                           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.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// 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
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Pavel Bochev  (pbboche@sandia.gov)
//                    Denis Ridzal  (dridzal@sandia.gov), or
//                    Kara Peterson (kjpeter@sandia.gov)
//
// ************************************************************************
// @HEADER

#ifndef INTREPID_HGRAD_LINE_HERMITE_FEM_HPP
#define INTREPID_HGRAD_LINE_HERMITE_FEM_HPP

#include "Intrepid_Basis.hpp"
#include "Intrepid_PointTools.hpp"
#include "Intrepid_Polylib.hpp"

#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_SerialDenseSolver.hpp"
#include <ostream>
#include <cstdint>

namespace Intrepid {

template<class Scalar, class ArrayScalar>   
class Basis_HGRAD_LINE_Hermite_FEM: public Basis<Scalar, ArrayScalar> {

  template<typename T> using RCP = Teuchos::RCP<T>;
  using SerialDenseMatrix = Teuchos::SerialDenseMatrix<int,Scalar>;

  using TAGS = std::vector<int>;

private:

  FieldContainer<Scalar> latticePts_;  

  mutable SerialDenseMatrix V_;

  mutable Teuchos::SerialDenseSolver<int,Scalar> solver_;  

  mutable TAGS tags_;

  mutable bool isFactored_;

  void initializeTags();

  void recurrence( ArrayScalar &P, ArrayScalar &Px, const Scalar x ) const; 

  void legendre_d( ArrayScalar &Pm, ArrayScalar &Pm1, const int m, const Scalar pt ) const;

  void setupVandermonde( bool factor=true );
 
   
public:

  Basis_HGRAD_LINE_Hermite_FEM();  

  Basis_HGRAD_LINE_Hermite_FEM( const ArrayScalar &pts );
  
  Basis_HGRAD_LINE_Hermite_FEM( int numPoints , const EPointType &pointType ); 


  void getValues(ArrayScalar &          outputValues,
                 const ArrayScalar &    inputPoints,
                 const EOperator        operatorType) const;
  
  
  void getValues(ArrayScalar &          outputValues,
                 const ArrayScalar &    inputPoints,
                 const ArrayScalar &    cellVertices,
                 const EOperator        operatorType = OPERATOR_VALUE) const;

  virtual void getDofCoords( ArrayScalar & DofCoords ) const;


  void printTags( std::ostream &os ); 

}; // class Basis_HGRAD_LINE_Hermite_FEM

}// namespace Intrepid

#include "Intrepid_HGRAD_LINE_Hermite_FEMDef.hpp"

#endif // INTREPID_HGRAD_LINE_HERMITE_FEM_HPP