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PreconditionerLinearWithLowEnergy.cpp
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2 //
3 // File Preconditioner.cpp
4 //
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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: Preconditioner definition
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
39 #include <LocalRegions/MatrixKey.h>
40 #include <math.h>
41 
42 namespace Nektar
43 {
44  namespace MultiRegions
45  {
46  /**
47  * Registers the class with the Factory.
48  */
49 
52  "FullLinearSpaceWithLowEnergyBlock",
54  "Full Linear space and low energy block preconditioning");
55 
56  /**
57  * @class PreconditionerLinearWithLowEnergy
58  *
59  * This class implements preconditioning for the conjugate
60  * gradient matrix solver.
61  */
62 
64  const boost::shared_ptr<GlobalLinSys> &plinsys,
65  const AssemblyMapSharedPtr &pLocToGloMap)
66  : Preconditioner(plinsys, pLocToGloMap)
67  {
68  }
69 
70  /**
71  *
72  */
74  {
77  }
78 
79  /**
80  *
81  */
83  Array<OneD, NekDouble>& pInOut,
84  int offset)
85  {
86  m_lowEnergyPrecon->DoTransformToLowEnergy(pInOut,offset);
87  }
88 
89  /**
90  *
91  */
93  Array<OneD, NekDouble>& pInput)
94  {
95  m_lowEnergyPrecon->DoTransformFromLowEnergy(pInput);
96  }
97 
98 
100  v_TransformedSchurCompl(int offset, const boost::shared_ptr<DNekScalMat > &loc_mat)
101  {
102  DNekScalMatSharedPtr returnval;
103  returnval=m_lowEnergyPrecon->TransformedSchurCompl(offset,loc_mat);
104  return returnval;
105  }
106 
107  /**
108  *
109  */
111  {
112  m_linSpacePrecon->BuildPreconditioner();
113  m_lowEnergyPrecon->BuildPreconditioner();
114  }
115 
116 
117  /**
118  *
119  */
121  const Array<OneD, NekDouble>& pInput,
122  Array<OneD, NekDouble>& pOutput)
123  {
124  int nGlobal = pInput.num_elements();
125 
126  Array<OneD, NekDouble> OutputLowEnergy(nGlobal, 0.0);
127  Array<OneD, NekDouble> tmp(nGlobal, 0.0);
128  Array<OneD, NekDouble> OutputLinear(nGlobal, 0.0);
129  Array<OneD, NekDouble> InputLinear(nGlobal, 0.0);
130 
131  //Apply Low Energy preconditioner
132  m_lowEnergyPrecon->DoPreconditioner(pInput, OutputLowEnergy);
133 
134  //Transform input from low energy to original basis
135  m_lowEnergyPrecon->DoMultiplybyInverseTransformationMatrix(pInput, InputLinear);
136 
137  //Apply linear space preconditioner
138  m_linSpacePrecon->DoPreconditionerWithNonVertOutput(InputLinear, OutputLinear, tmp);
139 
140  m_lowEnergyPrecon->DoMultiplybyInverseTransposedTransformationMatrix(OutputLinear,pOutput);
141 
142  Vmath::Vadd(nGlobal,pOutput,1,OutputLowEnergy,1,pOutput,1);
143  }
144 
145  }
146 }
147 
148 
149 
150 
151 
152