Nektar++
PreconditionerLinearWithLowEnergy.cpp
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2 //
3 // File Preconditioner.cpp
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9 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
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30 //
31 // Description: Preconditioner definition
32 //
33 ///////////////////////////////////////////////////////////////////////////////
34 
38 #include <LocalRegions/MatrixKey.h>
39 #include <math.h>
40 
41 using namespace std;
42 
43 namespace Nektar
44 {
45  namespace MultiRegions
46  {
47  /**
48  * Registers the class with the Factory.
49  */
50 
51  string PreconditionerLinearWithLowEnergy::className
53  "FullLinearSpaceWithLowEnergyBlock",
54  PreconditionerLinearWithLowEnergy::create,
55  "Full Linear space and low energy block preconditioning");
56 
57  /**
58  * @class PreconditionerLinearWithLowEnergy
59  *
60  * This class implements preconditioning for the conjugate
61  * gradient matrix solver.
62  */
63 
64  PreconditionerLinearWithLowEnergy::PreconditionerLinearWithLowEnergy(
65  const std::shared_ptr<GlobalLinSys> &plinsys,
66  const AssemblyMapSharedPtr &pLocToGloMap)
67  : Preconditioner(plinsys, pLocToGloMap)
68  {
69  }
70 
71  /**
72  *
73  */
75  {
76  m_linSpacePrecon = GetPreconFactory().CreateInstance("FullLinearSpace",m_linsys.lock(),m_locToGloMap.lock());
77  m_lowEnergyPrecon = GetPreconFactory().CreateInstance("LowEnergyBlock",m_linsys.lock(),m_locToGloMap.lock());
78  }
79 
80  /**
81  *
82  */
84  Array<OneD, NekDouble>& pInOut,
85  int offset)
86  {
87  m_lowEnergyPrecon->DoTransformToLowEnergy(pInOut,offset);
88  }
89 
90  /**
91  *
92  */
94  Array<OneD, NekDouble>& pInput)
95  {
96  m_lowEnergyPrecon->DoTransformFromLowEnergy(pInput);
97  }
98 
99 
101  v_TransformedSchurCompl(int n, int offset,
102  const std::shared_ptr<DNekScalMat > &loc_mat)
103  {
104  DNekScalMatSharedPtr returnval;
105  returnval=m_lowEnergyPrecon->TransformedSchurCompl(n,offset, loc_mat);
106  return returnval;
107  }
108 
109  /**
110  *
111  */
113  {
114  m_linSpacePrecon->BuildPreconditioner();
115  m_lowEnergyPrecon->BuildPreconditioner();
116  }
117 
118 
119  /**
120  *
121  */
123  const Array<OneD, NekDouble>& pInput,
124  Array<OneD, NekDouble>& pOutput)
125  {
126  int nGlobal = pInput.num_elements();
127 
128  Array<OneD, NekDouble> OutputLowEnergy(nGlobal, 0.0);
129  Array<OneD, NekDouble> tmp(nGlobal, 0.0);
130  Array<OneD, NekDouble> OutputLinear(nGlobal, 0.0);
131  Array<OneD, NekDouble> InputLinear(nGlobal, 0.0);
132 
133  //Apply Low Energy preconditioner
134  m_lowEnergyPrecon->DoPreconditioner(pInput, OutputLowEnergy);
135 
136  //Transform input from low energy to original basis
137  m_lowEnergyPrecon->DoMultiplybyInverseTransformationMatrix(pInput, InputLinear);
138 
139  //Apply linear space preconditioner
140  m_linSpacePrecon->DoPreconditionerWithNonVertOutput(InputLinear, OutputLinear, tmp);
141 
142  m_lowEnergyPrecon->DoMultiplybyInverseTransposedTransformationMatrix(OutputLinear,pOutput);
143 
144  Vmath::Vadd(nGlobal,pOutput,1,OutputLowEnergy,1,pOutput,1);
145  }
146 
147  }
148 }
149 
150 
151 
152 
153 
154 
virtual void v_DoTransformToLowEnergy(Array< OneD, NekDouble > &pInOut, int offset)
Transform from original basis to low energy basis.
std::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
const std::weak_ptr< GlobalLinSys > m_linsys
PreconFactory & GetPreconFactory()
STL namespace.
std::shared_ptr< AssemblyMap > AssemblyMapSharedPtr
Definition: AssemblyMap.h:52
tBaseSharedPtr CreateInstance(tKey idKey, tParam... args)
Create an instance of the class referred to by idKey.
Definition: NekFactory.hpp:144
virtual void v_DoTransformFromLowEnergy(Array< OneD, NekDouble > &pInput)
Transform from low energy basis to orignal basis.
virtual void v_DoPreconditioner(const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput)
Apply a preconditioner to the conjugate gradient method.
virtual DNekScalMatSharedPtr v_TransformedSchurCompl(int n, int offset, const std::shared_ptr< DNekScalMat > &loc_mat)
Get block elemental transposed transformation matrix .
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")
Register a class with the factory.
Definition: NekFactory.hpp:199
std::weak_ptr< AssemblyMap > m_locToGloMap
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:302