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Covariant laplacian and implicit integration

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This commit is contained in:
Guido Cossu
2017-02-20 11:17:27 +00:00
parent bafb101e4f
commit 97a6b61551
9 changed files with 366 additions and 95 deletions
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9
tests/solver/Test_laplacian.cc
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@@ -48,28 +48,33 @@ int main (int argc, char ** argv)
LatticeGaugeField Umu(&Grid);
SU<Nc>::HotConfiguration(pRNG,Umu);
double Kappa = 0.9999;
typedef SU<Nc>::LatticeAlgebraVector AVector;
// Source and result in the algebra
AVector src_vec(&Grid); random(pRNG, src_vec);
AVector result_vec(&Grid); result_vec = zero;
LatticeColourMatrix src(&Grid);
SU<Nc>::FundamentalLieAlgebraMatrix(src_vec, src);
LatticeColourMatrix result(&Grid); result=zero;
LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid);
LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid, Kappa);
Laplacian.ImportGauge(Umu);
HermitianLinearOperator<LaplacianAdjointField<PeriodicGimplR>,LatticeColourMatrix> HermOp(Laplacian);
ConjugateGradient<LatticeColourMatrix> CG(1.0e-8,10000);
std::cout << GridLogMessage << "Testing the Laplacian using the full matrix" <<std::endl;
CG(HermOp,src,result); // fastest
// Tests also the version using the algebra decomposition
LaplacianAlgebraField<PeriodicGimplR> LaplacianAlgebra(&Grid);
LaplacianAlgebraField<PeriodicGimplR> LaplacianAlgebra(&Grid, Kappa);
LaplacianAlgebra.ImportGauge(Umu);
HermitianLinearOperator<LaplacianAlgebraField<PeriodicGimplR>,AVector> HermOpAlg(LaplacianAlgebra);
ConjugateGradient<AVector> CG_Algebra(1.0e-8,10000);
std::cout << GridLogMessage << "Testing the Laplacian using the algebra vectors" <<std::endl;
CG_Algebra(HermOpAlg,src_vec,result_vec);
LatticeColourMatrix result2(&Grid);