SundanceCubicHermite.hpp
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00002 // ************************************************************************
00003 // 
00004 //                              Sundance
00005 //                 Copyright (2005) Sandia Corporation
00006 // 
00007 // Copyright (year first published) Sandia Corporation.  Under the terms 
00008 // of Contract DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government 
00009 // retains certain rights in this software.
00010 // 
00011 // This library is free software; you can redistribute it and/or modify
00012 // it under the terms of the GNU Lesser General Public License as
00013 // published by the Free Software Foundation; either version 2.1 of the
00014 // License, or (at your option) any later version.
00015 //  
00016 // This library is distributed in the hope that it will be useful, but
00017 // WITHOUT ANY WARRANTY; without even the implied warranty of
00018 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00019 // Lesser General Public License for more details.
00020 //                                                                                 
00021 // You should have received a copy of the GNU Lesser General Public
00022 // License along with this library; if not, write to the Free Software
00023 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
00024 // USA                                                                                
00025 // Questions? Contact Kevin Long (krlong@sandia.gov), 
00026 // Sandia National Laboratories, Livermore, California, USA
00027 // 
00028 // ************************************************************************
00029 /* @HEADER@ */
00030 
00031 #ifndef SUNDANCE_CUBICHERMITE_H
00032 #define SUNDANCE_CUBICHERMITE_H
00033 
00034 #include "SundanceDefs.hpp"
00035 #include "Teuchos_RefCountPtr.hpp"
00036 #include "SundanceBasisFamilyBase.hpp"
00037 
00038 namespace Sundance 
00039 {
00040 /** 
00041  * CubicHermite basis 
00042  */
00043 class CubicHermite : public ScalarBasis
00044 {
00045 public:
00046   /** */
00047   CubicHermite() {;}
00048 
00049   /**   
00050    * \brief Inform caller as to whether a given cell type is supported 
00051    */
00052   bool supportsCellTypePair(
00053     const CellType& maximalCellType,
00054     const CellType& cellType
00055     ) const ;
00056 
00057   /** */
00058   void print(std::ostream& os) const ;
00059 
00060   /** */
00061   int order() const {return 3;}
00062 
00063   /** return the number of nodes for this basis on the given cell type */
00064   int nReferenceDOFsWithoutFacets(
00065     const CellType& maximalCellType,
00066     const CellType& cellType
00067     ) const ;
00068 
00069   /** */
00070   void getReferenceDOFs(
00071     const CellType& maximalCellType,
00072     const CellType& cellType,
00073     Array<Array<Array<int> > >& dofs) const ;
00074 
00075   /** */
00076   void refEval(
00077     const CellType& cellType,
00078     const Array<Point>& pts,
00079     const SpatialDerivSpecifier& deriv,
00080     Array<Array<Array<double> > >& result,
00081     int verbosity=0) const ;
00082 
00083   virtual bool requiresBasisTransformation() const { return true; }
00084   
00085   void preApplyTransformation( const CellType &maxCellType ,
00086              const Mesh &mesh, 
00087              const Array<int> &cellLIDs,
00088              const CellJacobianBatch& JVol,
00089              RCP<Array<double> >& A ) const;
00090 
00091   void postApplyTransformation( const CellType &maxCellType ,
00092         const Mesh &mesh, 
00093         const Array<int> &cellLIDs,
00094         const CellJacobianBatch& JVol,
00095         RCP<Array<double> >& A ) const;
00096 
00097   void preApplyTransformationTranspose( const CellType &maxCellType ,
00098           const Mesh &mesh, 
00099           const Array<int> &cellLIDs,
00100           const CellJacobianBatch& JVol,
00101           Array<double>& A ) const;
00102 
00103 
00104   
00105 
00106 
00107   /* Handleable boilerplate */
00108   GET_RCP(BasisFamilyBase);
00109 
00110 private:
00111   static Array<int> makeRange(int low, int high);
00112 
00113   /** evaluate on a line cell  */
00114   void evalOnLine(const Point& pt,
00115     const MultiIndex& deriv,
00116     Array<double>& result) const ;
00117     
00118   /** evaluate on a triangle cell  */
00119   void evalOnTriangle(const Point& pt,
00120     const MultiIndex& deriv,
00121     Array<double>& result) const ;
00122 
00123   /** evaluate on a tet cell  */
00124   void evalOnTet(const Point& pt,
00125     const MultiIndex& deriv,
00126     Array<double>& result) const ;
00127 
00128   void preApplyTransformationTriangle( const Mesh &mesh, 
00129                const Array<int> &cellLIDs,
00130                const CellJacobianBatch& JVol,
00131                RCP<Array<double> >& A ) const;
00132 
00133   void postApplyTransformationTriangle( const Mesh &mesh, 
00134           const Array<int> &cellLIDs,
00135           const CellJacobianBatch& JVol,
00136           RCP<Array<double> >& A ) const;
00137 
00138   void preApplyTransformationTransposeTriangle( const Mesh &mesh, 
00139             const Array<int> &cellLIDs,
00140             const CellJacobianBatch& JVol,
00141             Array<double> & A ) const;
00142 
00143 
00144   void getVertexH( const Mesh &mesh,
00145        const Array<int> &cellLIDs,
00146        Array<double> &cellVertexH ) const;
00147 
00148 };
00149 }
00150 
00151 #endif

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