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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 2009 - 2025 by the deal.II authors
//
// This file is part of the deal.II library.
//
// Part of the source code is dual licensed under Apache-2.0 WITH
// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
// governing the source code and code contributions can be found in
// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
//
// ------------------------------------------------------------------------
#include <deal.II/fe/fe_nothing.h>
#include <memory>
DEAL_II_NAMESPACE_OPEN
template <int dim, int spacedim>
FE_Nothing<dim, spacedim>::FE_Nothing(const ReferenceCell &type,
const unsigned int n_components,
const bool dominate)
: FiniteElement<dim, spacedim>(
FiniteElementData<dim>(std::vector<unsigned>(dim + 1, 0),
type,
n_components,
0,
FiniteElementData<dim>::unknown),
std::vector<bool>(),
std::vector<ComponentMask>())
, dominate(dominate)
{
Assert(n_components >= 1,
ExcMessage("A finite element needs to have at least one "
"vector component."));
// in most other elements we have to set up all sorts of stuff
// here. there isn't much that we have to do here; in particular,
// we can simply leave the restriction and prolongation matrices
// empty since their proper size is in fact zero given that the
// element here has no degrees of freedom
}
template <int dim, int spacedim>
FE_Nothing<dim, spacedim>::FE_Nothing(const unsigned int n_components,
const bool dominate)
: FE_Nothing<dim, spacedim>(ReferenceCells::get_hypercube<dim>(),
n_components,
dominate)
{}
template <int dim, int spacedim>
std::unique_ptr<FiniteElement<dim, spacedim>>
FE_Nothing<dim, spacedim>::clone() const
{
return std::make_unique<FE_Nothing<dim, spacedim>>(*this);
}
template <int dim, int spacedim>
std::string
FE_Nothing<dim, spacedim>::get_name() const
{
std::ostringstream namebuf;
namebuf << "FE_Nothing<" << Utilities::dim_string(dim, spacedim) << ">(";
std::vector<std::string> name_components;
if (this->reference_cell() != ReferenceCells::get_hypercube<dim>())
name_components.push_back(this->reference_cell().to_string());
if (this->n_components() > 1)
name_components.push_back(std::to_string(this->n_components()));
if (dominate)
name_components.emplace_back("dominating");
for (const std::string &comp : name_components)
{
namebuf << comp;
if (comp != name_components.back())
namebuf << ", ";
}
namebuf << ")";
return namebuf.str();
}
template <int dim, int spacedim>
UpdateFlags
FE_Nothing<dim, spacedim>::requires_update_flags(const UpdateFlags flags) const
{
return flags;
}
template <int dim, int spacedim>
double
FE_Nothing<dim, spacedim>::shape_value(const unsigned int /*i*/,
const Point<dim> & /*p*/) const
{
Assert(false, ExcMessage("This element has no shape functions."));
return 0;
}
template <int dim, int spacedim>
std::unique_ptr<typename FiniteElement<dim, spacedim>::InternalDataBase>
FE_Nothing<dim, spacedim>::get_data(
const UpdateFlags /*update_flags*/,
const Mapping<dim, spacedim> & /*mapping*/,
const Quadrature<dim> & /*quadrature*/,
dealii::internal::FEValuesImplementation::FiniteElementRelatedData<dim,
spacedim>
& /*output_data*/) const
{
// Create a default data object. Normally we would then
// need to resize things to hold the appropriate numbers
// of dofs, but in this case all data fields are empty.
return std::make_unique<
typename FiniteElement<dim, spacedim>::InternalDataBase>();
}
template <int dim, int spacedim>
void
FE_Nothing<dim, spacedim>::fill_fe_values(
const typename Triangulation<dim, spacedim>::cell_iterator &,
const CellSimilarity::Similarity,
const Quadrature<dim> &,
const Mapping<dim, spacedim> &,
const typename Mapping<dim, spacedim>::InternalDataBase &,
const internal::FEValuesImplementation::MappingRelatedData<dim, spacedim> &,
const typename FiniteElement<dim, spacedim>::InternalDataBase &,
dealii::internal::FEValuesImplementation::FiniteElementRelatedData<dim,
spacedim>
&) const
{
// leave data fields empty
}
template <int dim, int spacedim>
void
FE_Nothing<dim, spacedim>::fill_fe_face_values(
const typename Triangulation<dim, spacedim>::cell_iterator &,
const unsigned int,
const hp::QCollection<dim - 1> &,
const Mapping<dim, spacedim> &,
const typename Mapping<dim, spacedim>::InternalDataBase &,
const internal::FEValuesImplementation::MappingRelatedData<dim, spacedim> &,
const typename FiniteElement<dim, spacedim>::InternalDataBase &,
dealii::internal::FEValuesImplementation::FiniteElementRelatedData<dim,
spacedim>
&) const
{
// leave data fields empty
}
template <int dim, int spacedim>
void
FE_Nothing<dim, spacedim>::fill_fe_subface_values(
const typename Triangulation<dim, spacedim>::cell_iterator &,
const unsigned int,
const unsigned int,
const Quadrature<dim - 1> &,
const Mapping<dim, spacedim> &,
const typename Mapping<dim, spacedim>::InternalDataBase &,
const internal::FEValuesImplementation::MappingRelatedData<dim, spacedim> &,
const typename FiniteElement<dim, spacedim>::InternalDataBase &,
dealii::internal::FEValuesImplementation::FiniteElementRelatedData<dim,
spacedim>
&) const
{
// leave data fields empty
}
template <int dim, int spacedim>
bool
FE_Nothing<dim, spacedim>::is_dominating() const
{
return dominate;
}
template <int dim, int spacedim>
FiniteElementDomination::Domination
FE_Nothing<dim, spacedim>::compare_for_domination(
const FiniteElement<dim, spacedim> &fe,
const unsigned int codim) const
{
Assert(codim <= dim, ExcImpossibleInDim(dim));
if (!dominate)
// if FE_Nothing does not dominate, there are no requirements
return FiniteElementDomination::no_requirements;
else if (dynamic_cast<const FE_Nothing<dim> *>(&fe) != nullptr)
// if it does and the other is FE_Nothing, either can dominate
return FiniteElementDomination::either_element_can_dominate;
else
// otherwise we dominate whatever FE is provided
return FiniteElementDomination::this_element_dominates;
}
template <int dim, int spacedim>
std::vector<std::pair<unsigned int, unsigned int>>
FE_Nothing<dim, spacedim>::hp_vertex_dof_identities(
const FiniteElement<dim, spacedim> & /*fe_other*/) const
{
// the FE_Nothing has no
// degrees of freedom, so there
// are no equivalencies to be
// recorded
return std::vector<std::pair<unsigned int, unsigned int>>();
}
template <int dim, int spacedim>
std::vector<std::pair<unsigned int, unsigned int>>
FE_Nothing<dim, spacedim>::hp_line_dof_identities(
const FiniteElement<dim, spacedim> & /*fe_other*/) const
{
// the FE_Nothing has no
// degrees of freedom, so there
// are no equivalencies to be
// recorded
return std::vector<std::pair<unsigned int, unsigned int>>();
}
template <int dim, int spacedim>
std::vector<std::pair<unsigned int, unsigned int>>
FE_Nothing<dim, spacedim>::hp_quad_dof_identities(
const FiniteElement<dim, spacedim> & /*fe_other*/,
const unsigned int) const
{
// the FE_Nothing has no
// degrees of freedom, so there
// are no equivalencies to be
// recorded
return std::vector<std::pair<unsigned int, unsigned int>>();
}
template <int dim, int spacedim>
bool
FE_Nothing<dim, spacedim>::hp_constraints_are_implemented() const
{
return true;
}
template <int dim, int spacedim>
void
FE_Nothing<dim, spacedim>::get_interpolation_matrix(
const FiniteElement<dim, spacedim> & /*source_fe*/,
FullMatrix<double> &interpolation_matrix) const
{
// Since this element has no dofs,
// the interpolation matrix is necessarily empty.
Assert(interpolation_matrix.m() == 0,
ExcDimensionMismatch(interpolation_matrix.m(), 0));
Assert(interpolation_matrix.n() == 0,
ExcDimensionMismatch(interpolation_matrix.n(), 0));
}
template <int dim, int spacedim>
void
FE_Nothing<dim, spacedim>::get_face_interpolation_matrix(
const FiniteElement<dim, spacedim> & /*source_fe*/,
FullMatrix<double> &interpolation_matrix,
const unsigned int) const
{
// since this element has no face dofs, the
// interpolation matrix is necessarily empty
Assert(interpolation_matrix.m() == 0,
ExcDimensionMismatch(interpolation_matrix.m(), 0));
Assert(interpolation_matrix.n() == 0,
ExcDimensionMismatch(interpolation_matrix.m(), 0));
}
template <int dim, int spacedim>
void
FE_Nothing<dim, spacedim>::get_subface_interpolation_matrix(
const FiniteElement<dim, spacedim> & /*source_fe*/,
const unsigned int /*index*/,
FullMatrix<double> &interpolation_matrix,
const unsigned int) const
{
// since this element has no face dofs, the
// interpolation matrix is necessarily empty
Assert(interpolation_matrix.m() == 0,
ExcDimensionMismatch(interpolation_matrix.m(), 0));
Assert(interpolation_matrix.n() == 0,
ExcDimensionMismatch(interpolation_matrix.m(), 0));
}
template <int dim, int spacedim>
std::pair<Table<2, bool>, std::vector<unsigned int>>
FE_Nothing<dim, spacedim>::get_constant_modes() const
{
// since this element has no dofs, there are no constant modes
return {Table<2, bool>{}, std::vector<unsigned int>{}};
}
// explicit instantiations
#include "fe/fe_nothing.inst"
DEAL_II_NAMESPACE_CLOSE
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