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mfem/tests/unit/fem/test_project_bdr.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;
namespace project_bdr
{
void Func_3D_lin(const Vector &x, Vector &v)
{
v.SetSize(3);
v[0] = 1.234 * x[0] - 2.357 * x[1] + 3.572 * x[2];
v[1] = 2.537 * x[0] + 4.321 * x[1] - 1.234 * x[2];
v[2] = -2.572 * x[0] + 1.321 * x[1] + 3.234 * x[2];
}
TEST_CASE("3D ProjectBdrCoefficientTangent",
"[GridFunction]"
"[VectorGridFunctionCoefficient]")
{
int n = 1;
int dim = 3;
int order = 1;
double tol = 1e-6;
for (int type = (int)Element::TETRAHEDRON;
type <= (int)Element::HEXAHEDRON; type++)
{
Mesh mesh = Mesh::MakeCartesian3D(
n, n, n, (Element::Type)type, 2.0, 3.0, 5.0);
VectorFunctionCoefficient funcCoef(dim, Func_3D_lin);
SECTION("3D GetVectorValue tests for element type " +
std::to_string(type))
{
ND_FECollection nd_fec(order+1, dim);
FiniteElementSpace nd_fespace(&mesh, &nd_fec);
GridFunction nd_x( &nd_fespace);
VectorGridFunctionCoefficient nd_xCoef( &nd_x);
Array<int> bdr_marker(6);
Vector normal(dim);
Vector f_val(dim);
Vector nd_val(dim);
Vector nxd(dim);
for (int b = 1; b<=6; b++)
{
bdr_marker = 0;
bdr_marker[b-1] = 1;
nd_x = 0.0;
nd_x.ProjectBdrCoefficientTangent(funcCoef, bdr_marker);
for (int be = 0; be < mesh.GetNBE(); be++)
{
Element *e = mesh.GetBdrElement(be);
if (e->GetAttribute() != b) { continue; }
ElementTransformation *T = mesh.GetBdrElementTransformation(be);
const FiniteElement *fe = nd_fespace.GetBE(be);
const IntegrationRule &ir = IntRules.Get(fe->GetGeomType(),
2*order + 2);
double nd_err = 0.0;
for (int j=0; j<ir.GetNPoints(); j++)
{
const IntegrationPoint &ip = ir.IntPoint(j);
T->SetIntPoint(&ip);
CalcOrtho(T->Jacobian(), normal);
funcCoef.Eval(f_val, *T, ip);
nd_xCoef.Eval(nd_val, *T, ip);
nd_val -= f_val;
nxd[0] = normal[1] * nd_val[2] - normal[2] * nd_val[1];
nxd[1] = normal[2] * nd_val[0] - normal[0] * nd_val[2];
nxd[2] = normal[0] * nd_val[1] - normal[1] * nd_val[0];
double nd_dist = nxd.Norml2();
nd_err += nd_dist;
if (verbose_tests && nd_dist > tol)
{
mfem::out << be << ":" << j << " nd ("
<< f_val[0] << "," << f_val[1] << "," << f_val[2]
<< ") vs. ("
<< nd_val[0] << "," << nd_val[1] << ","
<< nd_val[2] << ") " << nd_dist << std::endl;
}
}
nd_err /= ir.GetNPoints();
REQUIRE( nd_err == MFEM_Approx(0.0));
}
}
}
}
}
} // namespace project_bdr