projects::dpg::test Namespace Reference

Functions
template<typename SOLFUNC , typename SOLGRAD , typename ALPHAFUNC , typename BETAFUNC , typename FFUNC , typename GFUNC >
energy_vector	TestConververgencePrimalDPGConvectionDiffusionDirichletBVP (size_type reflevels, SOLFUNC solution, SOLGRAD sol_grad, ALPHAFUNC alpha, BETAFUNC beta, FFUNC f, GFUNC g, int degree_p, int enrichement, lf::base::RefEl ref_el)
	Examines the convergence behaviour of the primal DPG method for a pure Dirichlet convection-diffusion BVP. More...
template<typename SOLFUNC , typename SOLGRAD , typename ALPHAFUNC , typename BETAFUNC , typename FFUNC , typename GFUNC >
energy_vector	TestConververgencePrimalDPGAdaptedNormConvectionDiffusionDirichletBVP (size_type reflevels, SOLFUNC solution, SOLGRAD sol_grad, ALPHAFUNC alpha, BETAFUNC beta, FFUNC f, GFUNC g, int degree_p, int enrichement, lf::base::RefEl ref_el)
	Examines the convergence behaviour of the primal DPG method for a pure Dirichlet convection-diffusion BVP, using and adpated test space norm. More...

Function Documentation

TestConververgencePrimalDPGAdaptedNormConvectionDiffusionDirichletBVP()

template<typename SOLFUNC , typename SOLGRAD , typename ALPHAFUNC , typename BETAFUNC , typename FFUNC , typename GFUNC >

energy_vector projects::dpg::test::TestConververgencePrimalDPGAdaptedNormConvectionDiffusionDirichletBVP	(	size_type	reflevels,
		SOLFUNC	solution,
		SOLGRAD	sol_grad,
		ALPHAFUNC	alpha,
		BETAFUNC	beta,
		FFUNC	f,
		GFUNC	g,
		int	degree_p,
		int	enrichement,
		lf::base::RefEl	ref_el
	)

Examines the convergence behaviour of the primal DPG method for a pure Dirichlet convection-diffusion BVP, using and adpated test space norm.

Parameters

reflevels	the number of mesh refinements
solution	exact solution
sol_grad	gradient of the exact solution
alpha	scalar-valued diffusion coefficient of the BVP
beta	advection field of the BVP
f	source function of the BVP
g	Dirichlet data of the BVP
degree_p	polynomial degree of the u-part of the DPG approximation
enrichement	value of \( \Delta p \), s.t. \( r = p + \Delta p \) is the polynomial degree of enriched test space
ref_el	type of reference element for the tensor-product mesh

Returns

a vector containing for each refinement level the number of degrees of freedom (f the trial space), the H1 error of the solution and the value of the DPG error estimator.

Tests the convergence behaviour of the primal DPG method on a tensor product mesh based on uniform refinement. The method uses an adapted test space norm.

Definition at line 57 of file primal_dpg_adapted_norm.h.

References projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddConvectionElementMatrixProvider(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddDiffusionElementMatrixProvider(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::AddFluxComponent(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddFluxElementMatrixProvider(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::AddH1Component(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::AddL2Component(), projects::dpg::ProductElementVectorProviderBuilder< SCALAR >::AddLoadElementVectorProvider(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::Build(), projects::dpg::ProductElementVectorProviderBuilder< SCALAR >::Build(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::Build(), lf::mesh::utils::TPQuadMeshBuilder::Build(), lf::mesh::utils::TPTriagMeshBuilder::Build(), projects::dpg::ElementErrorEstimators(), projects::dpg::EvalPosteriorError(), lf::mesh::utils::flagEntitiesOnBoundary(), lf::refinement::GenerateMeshHierarchyByUniformRefinemnt(), lf::fe::IntegrateMeshFunction(), lf::base::RefEl::kQuad(), lf::base::RefEl::kTria(), lf::fe::MeshFunctionFE(), lf::fe::MeshFunctionGradFE(), lf::refinement::MeshHierarchy::PrintInfo(), lf::mesh::utils::StructuredMeshBuilder::setBottomLeftCorner(), and lf::mesh::utils::StructuredMeshBuilder::setNumYCells().

TestConververgencePrimalDPGConvectionDiffusionDirichletBVP()

template<typename SOLFUNC , typename SOLGRAD , typename ALPHAFUNC , typename BETAFUNC , typename FFUNC , typename GFUNC >

energy_vector projects::dpg::test::TestConververgencePrimalDPGConvectionDiffusionDirichletBVP	(	size_type	reflevels,
		SOLFUNC	solution,
		SOLGRAD	sol_grad,
		ALPHAFUNC	alpha,
		BETAFUNC	beta,
		FFUNC	f,
		GFUNC	g,
		int	degree_p,
		int	enrichement,
		lf::base::RefEl	ref_el
	)

Examines the convergence behaviour of the primal DPG method for a pure Dirichlet convection-diffusion BVP.

Parameters

reflevels	the number of mesh refinements
solution	exact solution
sol_grad	gradient of the exact solution
alpha	scalar-valued diffusion coefficient of the BVP
beta	advection field of the BVP
f	source function of the BVP
g	Dirichlet data of the BVP
degree_p	polynomial degree of the u-part of the DPG approximation
enrichement	value of \( \Delta p \), s.t. \( r = p + \Delta p \) is the polynomial degree of enriched test space
ref_el	type of reference element for the tensor-product mesh

Returns

a vector containing for each refinement level the number of degrees of freedom (f the trial space), the H1 error of the solution and the value of the DPG error estimator.

Tests the convergence behaviour of the primal DPG method on a tensor product mesh based on uniform refinement.

Definition at line 58 of file primal_dpg.h.

References projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddConvectionElementMatrixProvider(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddDiffusionElementMatrixProvider(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::AddFluxComponent(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddFluxElementMatrixProvider(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::AddH1Component(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::AddL2Component(), projects::dpg::ProductElementVectorProviderBuilder< SCALAR >::AddLoadElementVectorProvider(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::AddReactionElementMatrixProvider(), projects::dpg::ProductElementMatrixProviderBuilder< SCALAR >::Build(), projects::dpg::ProductElementVectorProviderBuilder< SCALAR >::Build(), projects::dpg::ProductUniformFESpaceFactory< SCALAR >::Build(), lf::mesh::utils::TPQuadMeshBuilder::Build(), lf::mesh::utils::TPTriagMeshBuilder::Build(), projects::dpg::ElementErrorEstimators(), projects::dpg::EvalPosteriorError(), lf::mesh::utils::flagEntitiesOnBoundary(), lf::refinement::GenerateMeshHierarchyByUniformRefinemnt(), lf::fe::IntegrateMeshFunction(), lf::base::RefEl::kQuad(), lf::base::RefEl::kTria(), lf::fe::MeshFunctionFE(), lf::fe::MeshFunctionGradFE(), lf::refinement::MeshHierarchy::PrintInfo(), lf::mesh::utils::StructuredMeshBuilder::setBottomLeftCorner(), and lf::mesh::utils::StructuredMeshBuilder::setNumYCells().