MappingBox< dim, spacedim > Class Template Reference

#include <mapping_box.h>

Inheritance diagram for MappingBox< dim, spacedim >:

Classes
class	InternalData

Public Member Functions
	MappingBox (const std::vector< BoundingBox< dim > > &local_boxes, const std::map< types::global_cell_index, types::global_cell_index > &polytope_translator)
virtual std::unique_ptr< Mapping< dim, spacedim > >	clone () const override
virtual bool	preserves_vertex_locations () const override
virtual bool	is_compatible_with (const ReferenceCell &reference_cell) const override
Mapping points between reference and real cells
virtual Point< spacedim >	transform_unit_to_real_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< dim > &p) const override
virtual Point< dim >	transform_real_to_unit_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p) const override
virtual void	transform_points_real_to_unit_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const ArrayView< const Point< spacedim > > &real_points, const ArrayView< Point< dim > > &unit_points) const override
Functions to transform tensors from reference to real coordinates
virtual void	transform (const ArrayView< const Tensor< 1, dim > > &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 1, spacedim > > &output) const override
virtual void	transform (const ArrayView< const DerivativeForm< 1, dim, spacedim > > &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 2, spacedim > > &output) const override
virtual void	transform (const ArrayView< const Tensor< 2, dim > > &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 2, spacedim > > &output) const override
virtual void	transform (const ArrayView< const DerivativeForm< 2, dim, spacedim > > &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim > > &output) const override
virtual void	transform (const ArrayView< const Tensor< 3, dim > > &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim > > &output) const override
Public Member Functions inherited from Mapping< dim, dim >
virtual	~Mapping () override=default
virtual boost::container::small_vector< Point< spacedim >, GeometryInfo< dim >::vertices_per_cell >	get_vertices (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const
boost::container::small_vector< Point< spacedim >, GeometryInfo< dim >::vertices_per_face >	get_vertices (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no) const
virtual Point< spacedim >	get_center (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const bool map_barycenter_of_reference_cell=true) const
virtual BoundingBox< spacedim >	get_bounding_box (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const
void	serialize (Archive &ar, const unsigned int version)
Point< dim - 1 >	project_real_point_to_unit_point_on_face (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Point< spacedim > &p) const
Point< dim - 1 >	project_real_point_to_unit_point_on_face (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Point< spacedim > &p) const
void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
unsigned int	n_subscriptions () const
unsigned int	n_subscriptions () const
void	list_subscribers (StreamType &stream) const
void	list_subscribers () const
void	list_subscribers (StreamType &stream) const
void	list_subscribers () const
Public Member Functions inherited from Subscriptor
	Subscriptor ()
	Subscriptor (const Subscriptor &)
	Subscriptor (Subscriptor &&) noexcept
virtual	~Subscriptor ()
Subscriptor &	operator= (const Subscriptor &)
Subscriptor &	operator= (Subscriptor &&) noexcept
void	serialize (Archive &ar, const unsigned int version)
void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
unsigned int	n_subscriptions () const
void	list_subscribers (StreamType &stream) const
void	list_subscribers () const
void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
unsigned int	n_subscriptions () const
void	list_subscribers (StreamType &stream) const
void	list_subscribers () const

Private Member Functions
void	update_cell_extents (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const InternalData &data) const
void	maybe_update_cell_quadrature_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const InternalData &data, const ArrayView< const Point< dim > > &unit_quadrature_points, std::vector< Point< dim > > &quadrature_points) const
void	maybe_update_normal_vectors (const unsigned int face_no, const InternalData &data, std::vector< Tensor< 1, dim > > &normal_vectors) const
void	maybe_update_jacobian_derivatives (const InternalData &data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
void	maybe_update_volume_elements (const InternalData &data) const
void	maybe_update_jacobians (const InternalData &data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
void	maybe_update_inverse_jacobians (const InternalData &data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
Interface with FEValues
virtual UpdateFlags	requires_update_flags (const UpdateFlags update_flags) const override
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase >	get_data (const UpdateFlags, const Quadrature< dim > &quadrature) const override
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase >	get_subface_data (const UpdateFlags flags, const Quadrature< dim - 1 > &quadrature) const override
virtual CellSimilarity::Similarity	fill_fe_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override
virtual void	fill_fe_subface_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int subface_no, const Quadrature< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override
virtual void	fill_fe_immersed_surface_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const NonMatching::ImmersedSurfaceQuadrature< dim > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override

Private Attributes
std::vector< BoundingBox< dim > >	boxes
std::map< types::global_cell_index, types::global_cell_index >	polytope_translator

Additional Inherited Members
Static Public Member Functions inherited from Mapping< dim, dim >
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)
static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)
static ::ExceptionBase &	ExcInvalidData ()
static ::ExceptionBase &	ExcInvalidData ()
static ::ExceptionBase &	ExcTransformationFailed ()
static ::ExceptionBase &	ExcTransformationFailed ()
static ::ExceptionBase &	ExcDistortedMappedCell (Point< spacedim > arg1, double arg2, int arg3)
static ::ExceptionBase &	ExcDistortedMappedCell (Point< spacedim > arg1, double arg2, int arg3)
Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)
static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)
Protected Member Functions inherited from Mapping< dim, dim >
virtual std::unique_ptr< InternalDataBase >	get_face_data (const UpdateFlags update_flags, const hp::QCollection< dim - 1 > &quadrature) const
virtual std::unique_ptr< InternalDataBase >	get_face_data (const UpdateFlags update_flags, const Quadrature< dim - 1 > &quadrature) const
virtual std::unique_ptr< InternalDataBase >	get_face_data (const UpdateFlags update_flags, const hp::QCollection< dim - 1 > &quadrature) const
virtual std::unique_ptr< InternalDataBase >	get_face_data (const UpdateFlags update_flags, const Quadrature< dim - 1 > &quadrature) const
virtual void	fill_fe_face_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const hp::QCollection< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
virtual void	fill_fe_face_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Quadrature< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
virtual void	fill_fe_face_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const hp::QCollection< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
virtual void	fill_fe_face_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Quadrature< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const

Detailed Description

template<int dim, int spacedim = dim>
class MappingBox< dim, spacedim >

A class providing a mapping from the reference cell to cells that are axiparallel, i.e., that have the shape of rectangles (in 2d) or boxes (in 3d) with edges parallel to the coordinate directions. The class therefore provides functionality that is equivalent to what, for example, MappingQ would provide for such cells. However, knowledge of the shape of cells allows this class to be substantially more efficient.

Specifically, the mapping is meant for cells for which the mapping from the reference to the real cell is a scaling along the coordinate directions: The transformation from reference coordinates $\hat {\mathbf x}$ to real coordinates $\mathbf x$ on each cell is of the form

\begin{align*} {\mathbf x}(\hat {\mathbf x}) = \begin{pmatrix} h_x & 0 \\ 0 & h_y \end{pmatrix} \hat{\mathbf x} + {\mathbf v}_0 \end{align*}

in 2d, and

\begin{align*} {\mathbf x}(\hat {\mathbf x}) = \begin{pmatrix} h_x & 0 & 0 \\ 0 & h_y & 0 \\ 0 & 0 & h_z \end{pmatrix} \hat{\mathbf x} + {\mathbf v}_0 \end{align*}

in 3d, where ${\mathbf v}_0$ is the bottom left vertex and $h_x,h_y,h_z$ are the extents of the cell along the axes.

The class is intended for efficiency, and it does not do a whole lot of error checking. If you apply this mapping to a cell that does not conform to the requirements above, you will get strange results.

Definition at line 79 of file mapping_box.h.

Constructor & Destructor Documentation

MappingBox()

template<int dim, int spacedim>

MappingBox< dim, spacedim >::MappingBox	(	const std::vector< BoundingBox< dim > > &	local_boxes,
		const std::map< types::global_cell_index, types::global_cell_index > &	polytope_translator )

Definition at line 68 of file mapping_box.cc.

References Assert.

Member Function Documentation

clone()

template<int dim, int spacedim>

std::unique_ptr< Mapping< dim, spacedim > > MappingBox< dim, spacedim >::clone ( ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 975 of file mapping_box.cc.

fill_fe_immersed_surface_values()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::fill_fe_immersed_surface_values ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const NonMatching::ImmersedSurfaceQuadrature< dim > & quadrature, const typename Mapping< dim, spacedim >::InternalDataBase & internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > & output_data ) const

overrideprivatevirtual

Reimplemented from Mapping< dim, dim >.

Definition at line 467 of file mapping_box.cc.

References Assert, AssertDimension, Quadrature< int dim >::get_points(), has_box(), internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::JxW_values, MappingBox< dim, spacedim >::maybe_update_cell_quadrature_points(), MappingBox< dim, spacedim >::maybe_update_inverse_jacobians(), MappingBox< dim, spacedim >::maybe_update_jacobian_derivatives(), MappingBox< dim, spacedim >::maybe_update_jacobians(), MappingBox< dim, spacedim >::maybe_update_volume_elements(), CellSimilarity::none, NonMatching::ImmersedSurfaceQuadrature< int dim, int spacedim >::normal_vector(), internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::normal_vectors, MappingBox< dim, spacedim >::polytope_translator, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::quadrature_points, MappingBox< dim, spacedim >::update_cell_extents(), Mapping::InternalDataBase::update_each, update_JxW_values, update_normal_vectors, and Quadrature< int dim >::weight().

fill_fe_subface_values()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::fill_fe_subface_values ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const unsigned int face_no, const unsigned int subface_no, const Quadrature< dim - 1 > & quadrature, const typename Mapping< dim, spacedim >::InternalDataBase & internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > & output_data ) const

overrideprivatevirtual

Implements Mapping< dim, dim >.

Definition at line 445 of file mapping_box.cc.

References DEAL_II_NOT_IMPLEMENTED.

fill_fe_values()

template<int dim, int spacedim>

CellSimilarity::Similarity MappingBox< dim, spacedim >::fill_fe_values ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > & quadrature, const typename Mapping< dim, spacedim >::InternalDataBase & internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > & output_data ) const

overrideprivatevirtual

Implements Mapping< dim, dim >.

Definition at line 395 of file mapping_box.cc.

References Assert, MappingBox< dim, spacedim >::InternalData::cell_extents, d(), Quadrature< int dim >::get_points(), has_box(), internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::JxW_values, MappingBox< dim, spacedim >::maybe_update_cell_quadrature_points(), MappingBox< dim, spacedim >::maybe_update_inverse_jacobians(), MappingBox< dim, spacedim >::maybe_update_jacobian_derivatives(), MappingBox< dim, spacedim >::maybe_update_jacobians(), MappingBox< dim, spacedim >::polytope_translator, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::quadrature_points, CellSimilarity::translation, MappingBox< dim, spacedim >::update_cell_extents(), Mapping::InternalDataBase::update_each, update_JxW_values, update_volume_elements, MappingBox< dim, spacedim >::InternalData::volume_element, and Quadrature< int dim >::weight().

get_data()

template<int dim, int spacedim>

std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > MappingBox< dim, spacedim >::get_data ( const UpdateFlags update_flags, const Quadrature< dim > & quadrature ) const

overrideprivatevirtual

Implements Mapping< dim, dim >.

Definition at line 168 of file mapping_box.cc.

References MappingBox< dim, spacedim >::requires_update_flags().

get_subface_data()

template<int dim, int spacedim>

std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > MappingBox< dim, spacedim >::get_subface_data ( const UpdateFlags flags, const Quadrature< dim - 1 > & quadrature ) const

overrideprivatevirtual

Implements Mapping< dim, dim >.

Definition at line 182 of file mapping_box.cc.

References DEAL_II_NOT_IMPLEMENTED.

is_compatible_with()

template<int dim, int spacedim>

bool MappingBox< dim, spacedim >::is_compatible_with ( const ReferenceCell & reference_cell ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 133 of file mapping_box.cc.

References Assert, reference_cell(), and Utilities::to_string().

maybe_update_cell_quadrature_points()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::maybe_update_cell_quadrature_points ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const InternalData & data, const ArrayView< const Point< dim > > & unit_quadrature_points, std::vector< Point< dim > > & quadrature_points ) const

private

Compute the quadrature points if the UpdateFlags of the incoming InternalData object say that they should be updated.

Called from fill_fe_values.

Definition at line 246 of file mapping_box.cc.

References MappingBox< dim, spacedim >::boxes, MappingBox< dim, spacedim >::polytope_translator, Mapping::InternalDataBase::update_each, and update_quadrature_points.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values(), and MappingBox< dim, spacedim >::fill_fe_values().

maybe_update_inverse_jacobians()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::maybe_update_inverse_jacobians ( const InternalData & data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > & output_data ) const

private

Compute the inverse Jacobians if the UpdateFlags of the incoming InternalData object say that they should be updated.

Definition at line 372 of file mapping_box.cc.

References MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::inverse_jacobians, CellSimilarity::translation, Mapping::InternalDataBase::update_each, and update_inverse_jacobians.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values(), and MappingBox< dim, spacedim >::fill_fe_values().

maybe_update_jacobian_derivatives()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::maybe_update_jacobian_derivatives ( const InternalData & data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > & output_data ) const

private

Since the Jacobian is constant for this mapping all derivatives of the Jacobian are identically zero. Fill these quantities with zeros if the corresponding update flags say that they should be updated.

Definition at line 282 of file mapping_box.cc.

References internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobian_2nd_derivatives, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobian_3rd_derivatives, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobian_grads, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobian_pushed_forward_2nd_derivatives, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobian_pushed_forward_3rd_derivatives, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobian_pushed_forward_grads, CellSimilarity::translation, Mapping::InternalDataBase::update_each, update_jacobian_2nd_derivatives, update_jacobian_3rd_derivatives, update_jacobian_grads, update_jacobian_pushed_forward_2nd_derivatives, update_jacobian_pushed_forward_3rd_derivatives, and update_jacobian_pushed_forward_grads.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values(), and MappingBox< dim, spacedim >::fill_fe_values().

maybe_update_jacobians()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::maybe_update_jacobians ( const InternalData & data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > & output_data ) const

private

Compute the Jacobians if the UpdateFlags of the incoming InternalData object say that they should be updated.

Definition at line 350 of file mapping_box.cc.

References MappingBox< dim, spacedim >::InternalData::cell_extents, internal::FEValuesImplementation::MappingRelatedData< int dim, int spacedim >::jacobians, CellSimilarity::translation, Mapping::InternalDataBase::update_each, and update_jacobians.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values(), and MappingBox< dim, spacedim >::fill_fe_values().

maybe_update_normal_vectors()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::maybe_update_normal_vectors ( const unsigned int face_no, const InternalData & data, std::vector< Tensor< 1, dim > > & normal_vectors ) const

private

Compute the normal vectors if the UpdateFlags of the incoming InternalData object say that they should be updated.

Definition at line 263 of file mapping_box.cc.

References Assert, Mapping::InternalDataBase::update_each, and update_normal_vectors.

maybe_update_volume_elements()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::maybe_update_volume_elements ( const InternalData & data ) const

private

Compute the volume elements if the UpdateFlags of the incoming InternalData object say that they should be updated.

Definition at line 334 of file mapping_box.cc.

References MappingBox< dim, spacedim >::InternalData::cell_extents, d(), Mapping::InternalDataBase::update_each, update_volume_elements, volume(), and MappingBox< dim, spacedim >::InternalData::volume_element.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values().

preserves_vertex_locations()

template<int dim, int spacedim>

bool MappingBox< dim, spacedim >::preserves_vertex_locations ( ) const

overridevirtual

Return true because MappingBox preserves vertex locations.

Implements Mapping< dim, dim >.

Definition at line 124 of file mapping_box.cc.

requires_update_flags()

template<int dim, int spacedim>

UpdateFlags MappingBox< dim, spacedim >::requires_update_flags ( const UpdateFlags update_flags ) const

overrideprivatevirtual

Implements Mapping< dim, dim >.

Definition at line 150 of file mapping_box.cc.

References update_boundary_forms, and update_normal_vectors.

Referenced by MappingBox< dim, spacedim >::get_data().

transform() [1/5]

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::transform ( const ArrayView< const DerivativeForm< 1, dim, spacedim > > & input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase & internal, const ArrayView< Tensor< 2, spacedim > > & output ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 569 of file mapping_box.cc.

References Assert, AssertDimension, MappingBox< dim, spacedim >::InternalData::cell_extents, DEAL_II_NOT_IMPLEMENTED, MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, mapping_contravariant, mapping_contravariant_gradient, mapping_covariant, mapping_covariant_gradient, mapping_piola, mapping_piola_gradient, update_contravariant_transformation, update_covariant_transformation, Mapping::InternalDataBase::update_each, update_volume_elements, and MappingBox< dim, spacedim >::InternalData::volume_element.

transform() [2/5]

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::transform ( const ArrayView< const DerivativeForm< 2, dim, spacedim > > & input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase & internal, const ArrayView< Tensor< 3, spacedim > > & output ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 795 of file mapping_box.cc.

References Assert, AssertDimension, DEAL_II_NOT_IMPLEMENTED, MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, mapping_covariant_gradient, update_contravariant_transformation, and Mapping::InternalDataBase::update_each.

transform() [3/5]

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::transform ( const ArrayView< const Tensor< 1, dim > > & input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase & internal, const ArrayView< Tensor< 1, spacedim > > & output ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 509 of file mapping_box.cc.

References Assert, AssertDimension, MappingBox< dim, spacedim >::InternalData::cell_extents, d(), DEAL_II_NOT_IMPLEMENTED, MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, mapping_contravariant, mapping_covariant, mapping_piola, update_contravariant_transformation, update_covariant_transformation, Mapping::InternalDataBase::update_each, update_volume_elements, and MappingBox< dim, spacedim >::InternalData::volume_element.

transform() [4/5]

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::transform ( const ArrayView< const Tensor< 2, dim > > & input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase & internal, const ArrayView< Tensor< 2, spacedim > > & output ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 682 of file mapping_box.cc.

References Assert, AssertDimension, MappingBox< dim, spacedim >::InternalData::cell_extents, DEAL_II_NOT_IMPLEMENTED, MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, mapping_contravariant, mapping_contravariant_gradient, mapping_covariant, mapping_covariant_gradient, mapping_piola, mapping_piola_gradient, update_contravariant_transformation, update_covariant_transformation, Mapping::InternalDataBase::update_each, update_volume_elements, and MappingBox< dim, spacedim >::InternalData::volume_element.

transform() [5/5]

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::transform ( const ArrayView< const Tensor< 3, dim > > & input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase & internal, const ArrayView< Tensor< 3, spacedim > > & output ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 834 of file mapping_box.cc.

References Assert, AssertDimension, MappingBox< dim, spacedim >::InternalData::cell_extents, DEAL_II_NOT_IMPLEMENTED, MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, mapping_contravariant_hessian, mapping_covariant_hessian, mapping_piola_hessian, update_contravariant_transformation, update_covariant_transformation, Mapping::InternalDataBase::update_each, update_volume_elements, and MappingBox< dim, spacedim >::InternalData::volume_element.

transform_points_real_to_unit_cell()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::transform_points_real_to_unit_cell ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const ArrayView< const Point< spacedim > > & real_points, const ArrayView< Point< dim > > & unit_points ) const

overridevirtual

Reimplemented from Mapping< dim, dim >.

Definition at line 955 of file mapping_box.cc.

References Assert, AssertDimension, MappingBox< dim, spacedim >::boxes, DEAL_II_NOT_IMPLEMENTED, has_box(), and MappingBox< dim, spacedim >::polytope_translator.

transform_real_to_unit_cell()

template<int dim, int spacedim>

Point< dim > MappingBox< dim, spacedim >::transform_real_to_unit_cell ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const Point< spacedim > & p ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 940 of file mapping_box.cc.

References Assert, MappingBox< dim, spacedim >::boxes, has_box(), and MappingBox< dim, spacedim >::polytope_translator.

transform_unit_to_real_cell()

template<int dim, int spacedim>

Point< spacedim > MappingBox< dim, spacedim >::transform_unit_to_real_cell ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const Point< dim > & p ) const

overridevirtual

Implements Mapping< dim, dim >.

Definition at line 925 of file mapping_box.cc.

References Assert, MappingBox< dim, spacedim >::boxes, has_box(), and MappingBox< dim, spacedim >::polytope_translator.

update_cell_extents()

template<int dim, int spacedim>

void MappingBox< dim, spacedim >::update_cell_extents ( const typename Triangulation< dim, spacedim >::cell_iterator & cell, const CellSimilarity::Similarity cell_similarity, const InternalData & data ) const

private

Update the cell_extents field of the incoming InternalData object with the size of the incoming cell.

Definition at line 196 of file mapping_box.cc.

References Assert, MappingBox< dim, spacedim >::boxes, MappingBox< dim, spacedim >::InternalData::cell_extents, d(), BoundingBox< int spacedim, typename Number >::get_boundary_points(), MappingBox< dim, spacedim >::InternalData::inverse_cell_extents, MappingBox< dim, spacedim >::polytope_translator, BoundingBox< int spacedim, typename Number >::side_length(), CellSimilarity::translation, and MappingBox< dim, spacedim >::InternalData::traslation.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values(), and MappingBox< dim, spacedim >::fill_fe_values().

Member Data Documentation

boxes

template<int dim, int spacedim = dim>

std::vector<BoundingBox<dim> > MappingBox< dim, spacedim >::boxes

private

Vector of (local) bounding boxes

Definition at line 372 of file mapping_box.h.

Referenced by MappingBox< dim, spacedim >::maybe_update_cell_quadrature_points(), MappingBox< dim, spacedim >::transform_points_real_to_unit_cell(), MappingBox< dim, spacedim >::transform_real_to_unit_cell(), MappingBox< dim, spacedim >::transform_unit_to_real_cell(), and MappingBox< dim, spacedim >::update_cell_extents().

polytope_translator

template<int dim, int spacedim = dim>

std::map<types::global_cell_index, types::global_cell_index> MappingBox< dim, spacedim >::polytope_translator

private

Map from global cell index to bounding box index

Definition at line 378 of file mapping_box.h.

Referenced by MappingBox< dim, spacedim >::fill_fe_immersed_surface_values(), MappingBox< dim, spacedim >::fill_fe_values(), MappingBox< dim, spacedim >::maybe_update_cell_quadrature_points(), MappingBox< dim, spacedim >::transform_points_real_to_unit_cell(), MappingBox< dim, spacedim >::transform_real_to_unit_cell(), MappingBox< dim, spacedim >::transform_unit_to_real_cell(), and MappingBox< dim, spacedim >::update_cell_extents().

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The documentation for this class was generated from the following files:

• /github/workspace/include/mapping_box.h
• /github/workspace/source/mapping_box.cc