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GaussPoints.h
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1 ///////////////////////////////////////////////////////////////////////////////
2 //
3 // File GaussPoints.h
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9 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10 // Department of Aeronautics, Imperial College London (UK), and Scientific
11 // Computing and Imaging Institute, University of Utah (USA).
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31 //
32 // Description: Header file of GaussPoints Distributions
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
36 #ifndef GAUSSPOINTS_H
37 #define GAUSSPOINTS_H
38 
39 #include <LibUtilities/Foundations/FoundationsFwd.hpp>
40 #include <LibUtilities/Foundations/Foundations.hpp>
41 #include <LibUtilities/Foundations/Points.h>
42 #include <LibUtilities/LinearAlgebra/NekMatrixFwd.hpp>
43 #include <boost/shared_ptr.hpp>
44 #include <boost/bind.hpp>
45 
46 namespace Nektar
47 {
48  namespace LibUtilities
49  {
50  class GaussPoints: public Points<NekDouble>
51  {
52  public:
53  virtual ~GaussPoints()
54  {
55  }
56 
57  LIB_UTILITIES_EXPORT static boost::shared_ptr< Points<NekDouble> > Create(const PointsKey &pkey);
58 
59  LIB_UTILITIES_EXPORT boost::shared_ptr< NekMatrix<NekDouble> > CreateMatrix(const PointsKey &pkey);
60 
61  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetI(const PointsKey &pkey);
62  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetI(const Array<OneD, const NekDouble>& x);
63  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetI(unsigned int numpoints, const Array<OneD, const NekDouble>& x);
64 
65  LIB_UTILITIES_EXPORT boost::shared_ptr< NekMatrix<NekDouble> > CreateGPMatrix(const PointsKey &pkey);
66 
67  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetGalerkinProjection(const PointsKey &pkey);
68 
69 
70 
71  GaussPoints(const PointsKey &pkey):PointsBaseType(pkey)
72  {
73  m_InterpManager.RegisterCreator(PointsKey(0, eGaussGaussLegendre),
74  boost::bind(&GaussPoints::CreateMatrix, this, _1));
75  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauMLegendre),
76  boost::bind(&GaussPoints::CreateMatrix, this, _1));
77  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauPLegendre),
78  boost::bind(&GaussPoints::CreateMatrix, this, _1));
79  m_InterpManager.RegisterCreator(PointsKey(0, eGaussLobattoLegendre),
80  boost::bind(&GaussPoints::CreateMatrix, this, _1));
81  m_InterpManager.RegisterCreator(PointsKey(0, eGaussGaussChebyshev),
82  boost::bind(&GaussPoints::CreateMatrix, this, _1));
83  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauMChebyshev),
84  boost::bind(&GaussPoints::CreateMatrix, this, _1));
85  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauPChebyshev),
86  boost::bind(&GaussPoints::CreateMatrix, this, _1));
87  m_InterpManager.RegisterCreator(PointsKey(0, eGaussLobattoChebyshev),
88  boost::bind(&GaussPoints::CreateMatrix, this, _1));
89  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha0Beta1),
90  boost::bind(&GaussPoints::CreateMatrix, this, _1));
91  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha0Beta2),
92  boost::bind(&GaussPoints::CreateMatrix, this, _1));
93  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha1Beta0),
94  boost::bind(&GaussPoints::CreateMatrix, this, _1));
95  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha2Beta0),
96  boost::bind(&GaussPoints::CreateMatrix, this, _1));
97  m_InterpManager.RegisterCreator(PointsKey(0, eGaussKronrodLegendre),
98  boost::bind(&GaussPoints::CreateMatrix, this, _1));
99  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauKronrodMLegendre),
100  boost::bind(&GaussPoints::CreateMatrix, this, _1));
101  m_InterpManager.RegisterCreator(PointsKey(0, eGaussRadauKronrodMAlpha1Beta0),
102  boost::bind(&GaussPoints::CreateMatrix, this, _1));
103  m_InterpManager.RegisterCreator(PointsKey(0, eGaussLobattoKronrodLegendre),
104  boost::bind(&GaussPoints::CreateMatrix, this, _1));
105  m_InterpManager.RegisterCreator(PointsKey(0, eFourierEvenlySpaced),
106  boost::bind(&GaussPoints::CreateMatrix, this, _1));
107  m_InterpManager.RegisterCreator(PointsKey(0, ePolyEvenlySpaced),
108  boost::bind(&GaussPoints::CreateMatrix, this, _1));
109  m_InterpManager.RegisterCreator(PointsKey(0, eBoundaryLayerPoints),
110  boost::bind(&GaussPoints::CreateMatrix, this, _1));
111  m_InterpManager.RegisterCreator(PointsKey(0, eBoundaryLayerPointsRev),
112  boost::bind(&GaussPoints::CreateMatrix, this, _1));
113  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussGaussLegendre),
114  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
115  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauMLegendre),
116  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
117  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauPLegendre),
118  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
119  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussLobattoLegendre),
120  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
121  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussGaussChebyshev),
122  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
123  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauMChebyshev),
124  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
125  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauPChebyshev),
126  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
127  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussLobattoChebyshev),
128  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
129  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha0Beta1),
130  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
131  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha0Beta2),
132  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
133  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha1Beta0),
134  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
135  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauMAlpha2Beta0),
136  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
137  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussKronrodLegendre),
138  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
139  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauKronrodMLegendre),
140  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
141  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussRadauKronrodMAlpha1Beta0),
142  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
143  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eGaussLobattoKronrodLegendre),
144  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
145  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eFourierEvenlySpaced),
146  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
147  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, ePolyEvenlySpaced),
148  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
149  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eBoundaryLayerPoints),
150  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
151  m_GalerkinProjectionManager.RegisterCreator(PointsKey(0, eBoundaryLayerPointsRev),
152  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
153  }
154 
155 
156  private:
157  /// These should not be called. All creation is done
158  /// using the constructor requiring the key, declared
159  /// above.
160  GaussPoints();
161  GaussPoints(const GaussPoints &points);
162 
163  void CalculatePoints();
164  void CalculateWeights();
165  void CalculateDerivMatrix();
166  void CalculateInterpMatrix(unsigned int npts, const Array<OneD, const NekDouble>& xpoints, Array<OneD, NekDouble>& interp);
167 
168 
169  boost::shared_ptr<NekMatrix<NekDouble> > CalculateGalerkinProjectionMatrix(const PointsKey &pkey);
170 
171 
172  /// functions used by the Kronrod points
173  NekDouble LagrangeInterpolant(NekDouble x, int npts, const Array<OneD, const NekDouble>& xpts, const Array<OneD, const NekDouble>& funcvals);
174  NekDouble LagrangePoly(NekDouble x, int pt, int npts, const Array<OneD, const NekDouble>& xpts);
175  NekDouble LagrangePolyDeriv(NekDouble x, int pt, int npts, const Array<OneD, const NekDouble>& xpts);
176 
177  }; // class GaussPoints
178  } // end of namespace
179 } // end of namespace
180 
181 #endif //GAUSSPOINTS_H
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