786 lines
28 KiB
C++
786 lines
28 KiB
C++
// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced
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// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
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// LICENSE and NOTICE for details. LLNL-CODE-806117.
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//
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// This file is part of the MFEM library. For more information and source code
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// availability visit https://mfem.org.
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//
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// MFEM is free software; you can redistribute it and/or modify it under the
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// terms of the BSD-3 license. We welcome feedback and contributions, see file
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// CONTRIBUTING.md for details.
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#include "mfem.hpp"
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#include "unit_tests.hpp"
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using namespace mfem;
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TEST_CASE("H1 Segment Finite Element",
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"[H1_SegmentElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=2; p++)
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{
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H1_SegmentElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 1 );
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REQUIRE( fe.GetGeomType() == Geometry::SEGMENT );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == p+1 );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("H1 Triangle Finite Element",
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"[H1_TriangleElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=3; p++)
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{
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H1_TriangleElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 2 );
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REQUIRE( fe.GetGeomType() == Geometry::TRIANGLE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == (p+1)*(p+2)/2 );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("H1 Quadrilateral Finite Element",
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"[H1_QuadrilateralElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=3; p++)
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{
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H1_QuadrilateralElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 2 );
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REQUIRE( fe.GetGeomType() == Geometry::SQUARE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == (int)pow(p+1,2) );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("H1 Tetrahedron Finite Element",
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"[H1_TetrahedronElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=4; p++)
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{
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H1_TetrahedronElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::TETRAHEDRON );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == (p+1)*(p+2)*(p+3)/6 );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("H1 Hexahedron Finite Element",
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"[H1_HexahedronElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=4; p++)
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{
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H1_HexahedronElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::CUBE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == (int)pow(p+1,3) );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("H1 Wedge Finite Element",
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"[H1_WedgeElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=4; p++)
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{
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H1_WedgeElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::PRISM );
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REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == (p+1)*(p+1)*(p+2)/2 );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("H1 Pyramid Finite Element",
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"[H1_PyramidElement]"
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"[NodalFiniteElement]"
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"[ScalarFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=4; p++)
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{
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H1_FuentesPyramidElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::PYRAMID );
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REQUIRE( fe.Space() == (int) FunctionSpace::Uk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == p*(p*p+3)+1 ); // Fuentes et al
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REQUIRE( fe.GetOrder() == p );
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}
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}
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for (int p = 1; p<=4; p++)
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{
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H1_BergotPyramidElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::PYRAMID );
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REQUIRE( fe.Space() == (int) FunctionSpace::Uk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == (p+1)*(p+2)*(2*p+3)/6 ); // JSC
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("Nedelec Segment Finite Element",
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"[ND_SegmentElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=2; p++)
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{
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ND_SegmentElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 1 );
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REQUIRE( fe.GetGeomType() == Geometry::SEGMENT );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_CURL );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::NONE );
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REQUIRE( fe.GetDerivRangeType() ==
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(int) FiniteElement::UNKNOWN_RANGE_TYPE);
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REQUIRE( fe.GetDerivMapType() ==
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(int) FiniteElement::UNKNOWN_MAP_TYPE);
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == p );
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REQUIRE( fe.GetOrder() == p-1 );
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}
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}
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}
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TEST_CASE("Nedelec Triangular Finite Element",
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"[ND_TriangleElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=3; p++)
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{
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ND_TriangleElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 2 );
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REQUIRE( fe.GetGeomType() == Geometry::TRIANGLE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_CURL );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::CURL );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL);
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == p*(p+2) );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("Nedelec Quadrilateral Finite Element",
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"[ND_QuadrilateralElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=3; p++)
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{
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ND_QuadrilateralElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 2 );
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REQUIRE( fe.GetGeomType() == Geometry::SQUARE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_CURL );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::CURL );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL);
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == 2*p*(p+1) );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("Nedelec Tetrahedron Finite Element",
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"[ND_TetrahedronElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=4; p++)
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{
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ND_TetrahedronElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::TETRAHEDRON );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_CURL );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::CURL );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_DIV );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == p*(p+2)*(p+3)/2 );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("Nedelec Hexahedron Finite Element",
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"[ND_HexahedronElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=4; p++)
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{
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ND_HexahedronElement fe(p);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 3 );
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REQUIRE( fe.GetGeomType() == Geometry::CUBE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_CURL );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::CURL );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_DIV );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == 3*p*(int)pow(p+1,2) );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("Raviart-Thomas Triangular Finite Element",
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"[RT_TriangleElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=3; p++)
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{
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RT_TriangleElement fe(p-1);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 2 );
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REQUIRE( fe.GetGeomType() == Geometry::TRIANGLE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_DIV );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::DIV );
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REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
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REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL );
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}
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}
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SECTION("Sizes for p = " + std::to_string(p))
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{
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REQUIRE( fe.GetDof() == p*(p+2) );
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REQUIRE( fe.GetOrder() == p );
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}
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}
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}
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TEST_CASE("Raviart-Thomas Quadrilateral Finite Element",
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"[RT_QuadrilateralElement]"
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"[VectorFiniteElement]"
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"[FiniteElement]")
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{
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for (int p = 1; p<=3; p++)
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{
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RT_QuadrilateralElement fe(p-1);
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if (p == 1)
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{
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SECTION("Attributes")
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{
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REQUIRE( fe.GetDim() == 2 );
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REQUIRE( fe.GetGeomType() == Geometry::SQUARE );
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REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
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REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
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REQUIRE( fe.GetMapType() == (int) FiniteElement::H_DIV );
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REQUIRE( fe.GetDerivType() == (int) FiniteElement::DIV );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == 2*p*(p+1) );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("Raviart-Thomas Tetrahedron Finite Element",
|
|
"[RT_TetrahedronElement]"
|
|
"[VectorFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 1; p<=4; p++)
|
|
{
|
|
RT_TetrahedronElement fe(p-1);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::TETRAHEDRON );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::H_DIV );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::DIV );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == p*(p+1)*(p+3)/2 );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("Raviart-Thomas Hexahedron Finite Element",
|
|
"[RT_HexahedronElement]"
|
|
"[VectorFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 1; p<=4; p++)
|
|
{
|
|
RT_HexahedronElement fe(p-1);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::CUBE );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::H_DIV );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::DIV );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == 3*(p+1)*(int)pow(p,2) );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("L2 Segment Finite Element",
|
|
"[L2_SegmentElement]"
|
|
"[NodalFiniteElement]"
|
|
"[ScalarFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 0; p<=1; p++)
|
|
{
|
|
L2_SegmentElement fe(p);
|
|
|
|
if (p == 0)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 1 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::SEGMENT );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == p+1 );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("L2 Triangle Finite Element",
|
|
"[L2_TriangleElement]"
|
|
"[NodalFiniteElement]"
|
|
"[ScalarFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 0; p<=2; p++)
|
|
{
|
|
L2_TriangleElement fe(p);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 2 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::TRIANGLE );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == (p+1)*(p+2)/2 );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("L2 Quadrilateral Finite Element",
|
|
"[L2_QuadrilateralElement]"
|
|
"[NodalFiniteElement]"
|
|
"[ScalarFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 0; p<=2; p++)
|
|
{
|
|
L2_QuadrilateralElement fe(p);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 2 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::SQUARE );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == (int)pow(p+1,2) );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("L2 Tetrahedron Finite Element",
|
|
"[L2_TetrahedronElement]"
|
|
"[NodalFiniteElement]"
|
|
"[ScalarFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 0; p<=3; p++)
|
|
{
|
|
L2_TetrahedronElement fe(p);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::TETRAHEDRON );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Pk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == (p+1)*(p+2)*(p+3)/6 );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("L2 Hexahedron Finite Element",
|
|
"[L2_HexahedronElement]"
|
|
"[NodalFiniteElement]"
|
|
"[ScalarFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 0; p<=3; p++)
|
|
{
|
|
L2_HexahedronElement fe(p);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::CUBE );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == (int)pow(p+1,3) );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("L2 Wedge Finite Element",
|
|
"[L2_WedgeElement]"
|
|
"[NodalFiniteElement]"
|
|
"[ScalarFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
for (int p = 0; p<=3; p++)
|
|
{
|
|
L2_WedgeElement fe(p);
|
|
|
|
if (p == 1)
|
|
{
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::PRISM );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::VALUE );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::GRAD );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_CURL );
|
|
}
|
|
}
|
|
SECTION("Sizes for p = " + std::to_string(p))
|
|
{
|
|
REQUIRE( fe.GetDof() == (p+1)*(p+1)*(p+2)/2 );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST_CASE("Nedelec Wedge Finite Element",
|
|
"[ND_WedgeElement]"
|
|
"[VectorFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
int p = 1;
|
|
|
|
ND_WedgeElement fe(p);
|
|
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::PRISM );
|
|
REQUIRE( fe.GetDof() == 3*p*(p+1)*(p+2)/2 );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::H_CURL );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::CURL );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::H_DIV );
|
|
}
|
|
}
|
|
|
|
TEST_CASE("Raviart-Thomas Wedge Finite Element",
|
|
"[RT_WedgeElement]"
|
|
"[VectorFiniteElement]"
|
|
"[FiniteElement]")
|
|
{
|
|
int p = 1;
|
|
|
|
RT_WedgeElement fe(p-1);
|
|
|
|
SECTION("Attributes")
|
|
{
|
|
REQUIRE( fe.GetDim() == 3 );
|
|
REQUIRE( fe.GetGeomType() == Geometry::PRISM );
|
|
REQUIRE( fe.GetDof() == (int)pow(p+1,2)*p/2 +
|
|
/* */ (int)pow(p,2)*(p+2) );
|
|
REQUIRE( fe.GetOrder() == p );
|
|
REQUIRE( fe.Space() == (int) FunctionSpace::Qk );
|
|
REQUIRE( fe.GetRangeType() == (int) FiniteElement::VECTOR );
|
|
REQUIRE( fe.GetMapType() == (int) FiniteElement::H_DIV );
|
|
REQUIRE( fe.GetDerivType() == (int) FiniteElement::DIV );
|
|
REQUIRE( fe.GetDerivRangeType() == (int) FiniteElement::SCALAR );
|
|
REQUIRE( fe.GetDerivMapType() == (int) FiniteElement::INTEGRAL );
|
|
}
|
|
}
|