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mfem/tests/unit/linalg/test_chebyshev.cpp
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// Copyright (c) 2010-2025, 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"
using namespace mfem;
TEST_CASE("OperatorChebyshevSmoother", "[Chebyshev symmetry]")
{
for (int order = 2; order < 5; ++order)
{
const int cheb_order = 2;
Mesh mesh = Mesh::MakeCartesian3D(4, 4, 4, Element::HEXAHEDRON);
FiniteElementCollection *fec = new H1_FECollection(order, 3);
FiniteElementSpace fespace(&mesh, fec);
Array<int> ess_bdr(mesh.bdr_attributes.Max());
ess_bdr = 1;
Array<int> ess_tdof_list;
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
BilinearForm aform(&fespace);
aform.SetAssemblyLevel(AssemblyLevel::PARTIAL);
aform.AddDomainIntegrator(new DiffusionIntegrator);
aform.Assemble();
OperatorPtr opr;
opr.SetType(Operator::ANY_TYPE);
aform.FormSystemMatrix(ess_tdof_list, opr);
Vector diag(fespace.GetTrueVSize());
aform.AssembleDiagonal(diag);
Solver* smoother = new OperatorChebyshevSmoother(*opr, diag, ess_tdof_list,
cheb_order);
int n = smoother->Width();
Vector left(n);
Vector right(n);
int seed = (int) time(0);
left.Randomize(seed);
right.Randomize(seed + 2);
// test that x^T S y = y^T S x
Vector smooth(n);
smooth = 0.0;
smoother->Mult(right, smooth);
double forward_val = left * smooth;
smoother->Mult(left, smooth);
double transpose_val = right * smooth;
double error = fabs(forward_val - transpose_val) / fabs(forward_val);
CAPTURE(order, error);
REQUIRE(error < 1.e-13);
delete smoother;
delete fec;
}
}