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mfem/tests/unit/linalg/test_matrix_sparse.cpp
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// Copyright (c) 2010-2022, Lawrence Livermore National Security, LLC. Produced
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
// LICENSE and NOTICE for details. LLNL-CODE-806117.
//
// This file is part of the MFEM library. For more information and source code
// availability visit https://mfem.org.
//
// MFEM is free software; you can redistribute it and/or modify it under the
// terms of the BSD-3 license. We welcome feedback and contributions, see file
// CONTRIBUTING.md for details.
#include "mfem.hpp"
#include "unit_tests.hpp"
namespace mfem
{
TEST_CASE("SparseMatrixAbsMult", "[SparseMatrixAbsMult]")
{
int dim = 2;
int ne = 4;
for (int order = 1; order <= 3; ++order)
{
CAPTURE(order);
Mesh mesh = Mesh::MakeCartesian2D(
ne, ne, Element::QUADRILATERAL, 1, 1.0, 1.0);
FiniteElementCollection *hdiv_coll(new RT_FECollection(order, dim));
FiniteElementCollection *l2_coll(new L2_FECollection(order, dim));
FiniteElementSpace R_space(&mesh, hdiv_coll);
FiniteElementSpace W_space(&mesh, l2_coll);
int n = R_space.GetTrueVSize();
int m = W_space.GetTrueVSize();
MixedBilinearForm a(&R_space, &W_space);
a.AddDomainIntegrator(new VectorFEDivergenceIntegrator);
a.Assemble();
a.Finalize();
SparseMatrix &A = a.SpMat();
SparseMatrix *Aabs = new SparseMatrix(A);
int nnz = Aabs->NumNonZeroElems();
for (int j = 0; j < nnz; j++)
{
Aabs->GetData()[j] = fabs(Aabs->GetData()[j]);
}
Vector X0(n), X1(n);
Vector Y0(m), Y1(m);
X0.Randomize();
Y0.Randomize(1);
Y1.Randomize(1);
A.AbsMult(X0,Y0);
Aabs->Mult(X0,Y1);
Y1 -=Y0;
double error = Y1.Norml2();
REQUIRE(error == MFEM_Approx(0.0));
Y0.Randomize();
X0.Randomize(1);
X1.Randomize(1);
A.AbsMultTranspose(Y0,X0);
Aabs->MultTranspose(Y0,X1);
X1 -=X0;
error = X1.Norml2();
REQUIRE(error == MFEM_Approx(0.0));
delete Aabs;
delete hdiv_coll;
delete l2_coll;
}
}
} // namespace mfem