#include <ibtk/FEMapping.h>

Inheritance diagram for IBTK::FENodalMapping< dim, spacedim, n_nodes >:

[legend]

Public Types
using	key_type = quadrature_key_type

Public Member Functions
	FENodalMapping (const key_type quad_key, const libMesh::ElemType mapping_element_type, const FEUpdateFlags update_flags)

virtual void	reinit (const libMesh::Elem *elem) override

virtual const std::vector< double > &	getJxW () const override

virtual const std::vector< libMesh::Point > &	getQuadraturePoints () const override

virtual const std::vector< Eigen::Matrix< double, spacedim, dim > > &	getContravariants () const override

virtual const std::vector< Eigen::Matrix< double, spacedim, dim > > &	getCovariants () const override

virtual const std::vector< double > &	getJxW () const=0

virtual const std::vector< libMesh::Point > &	getQuadraturePoints () const=0

virtual const std::vector< Eigen::Matrix< double, spacedim, dim > > &	getContravariants () const=0

virtual const std::vector< Eigen::Matrix< double, spacedim, dim > > &	getCovariants () const=0

std::unique_ptr< FEMapping< 2, 2 > >	build (const key_type key, const FEUpdateFlags update_flags)

std::unique_ptr< FEMapping< 3, 3 > >	build (const key_type key, const FEUpdateFlags update_flags)

Static Public Member Functions
static std::unique_ptr< FEMapping< dim, spacedim > >	build (const key_type key, const FEUpdateFlags update_flags)

Protected Member Functions
virtual bool	isAffine () const

virtual void	fillJacobians () override

virtual void	fillJxW () override

virtual void	fillQuadraturePoints (const libMesh::Elem *elem) override

virtual void	fillTransforms (const libMesh::Elem *elem)=0

Protected Attributes
const QuadratureData	d_quadrature_data

FEUpdateFlags	d_update_flags

std::vector< Eigen::Matrix< double, spacedim, dim > >	d_contravariants

std::vector< Eigen::Matrix< double, spacedim, dim > >	d_covariants

std::vector< double >	d_Jacobians

std::vector< double >	d_JxW

std::vector< libMesh::Point >	d_quadrature_points

PointMap< dim, spacedim, n_nodes >	d_point_map

Detailed Description

template<int dim, int spacedim = dim, int n_nodes = -1>
class IBTK::FENodalMapping< dim, spacedim, n_nodes >

Base class for all nodal finite element mappings (i.e., mappings corresponding to Lagrange-type finite element spaces).

Template Parameters

n_nodes Number of nodes of the element: defaults to runtime calculation (-1).

Member Typedef Documentation

◆ key_type

template<int dim, int spacedim = dim, int n_nodes = -1>

using IBTK::FENodalMapping< dim, spacedim, n_nodes >::key_type = quadrature_key_type

Key type. Completely describes (excepting p-refinement) a libMesh quadrature rule.

Constructor & Destructor Documentation

◆ FENodalMapping()

template<int dim, int spacedim = dim, int n_nodes = -1>

IBTK::FENodalMapping< dim, spacedim, n_nodes >::FENodalMapping	(	const key_type	quad_key,
		const libMesh::ElemType	mapping_element_type,
		const FEUpdateFlags	update_flags
	)

Constructor.

Parameters

[in]	quad_key	The quadrature key (i.e., a complete description of the quadrature rule).
[in]	mapping_element_type	The element type used to compute the mapping from the reference element to the physical element. This may be different from the element type in the quadrature rule - for example, one could provide TRI6 in the quadrature rule and TRI3 here.
[in]	update_flags	An enum describing which values need to be computed on each element.

Member Function Documentation

◆ reinit()

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual void IBTK::FENodalMapping< dim, spacedim, n_nodes >::reinit ( const libMesh::Elem * elem )

overridevirtual

Recalculate relevant quantities for the provided element.

Implements IBTK::FEMapping< dim, dim >.

Reimplemented in IBTK::Hex27Mapping, IBTK::Tet10Mapping, and IBTK::Tri6Mapping.

◆ getJxW() [1/2]

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual const std::vector<double>& IBTK::FENodalMapping< dim, spacedim, n_nodes >::getJxW ( ) const

inlineoverridevirtual

◆ getQuadraturePoints() [1/2]

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual const std::vector<libMesh::Point>& IBTK::FENodalMapping< dim, spacedim, n_nodes >::getQuadraturePoints ( ) const

inlineoverridevirtual

◆ getContravariants() [1/2]

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual const std::vector<Eigen::Matrix<double, spacedim, dim> >& IBTK::FENodalMapping< dim, spacedim, n_nodes >::getContravariants ( ) const

inlineoverridevirtual

◆ getCovariants() [1/2]

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual const std::vector<Eigen::Matrix<double, spacedim, dim> >& IBTK::FENodalMapping< dim, spacedim, n_nodes >::getCovariants ( ) const

inlineoverridevirtual

◆ isAffine()

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual bool IBTK::FENodalMapping< dim, spacedim, n_nodes >::isAffine ( ) const

protectedvirtual

Boolean indicating that the mapping is affine - if it is we can skip some computations. The default implementation returns false. Inheriting classes should overload this they represent affine mappings.

◆ fillJacobians()

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual void IBTK::FENodalMapping< dim, spacedim, n_nodes >::fillJacobians ( )

overrideprotectedvirtual

Compute determinants of contravariants (the Jacobians). The default implementation given here is usually the correct one.

Implements IBTK::FEMapping< dim, dim >.

◆ fillJxW()

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual void IBTK::FENodalMapping< dim, spacedim, n_nodes >::fillJxW ( )

overrideprotectedvirtual

Compute JxW values. The default implementation given here is usually the correct one.

Implements IBTK::FEMapping< dim, dim >.

◆ fillQuadraturePoints()

template<int dim, int spacedim = dim, int n_nodes = -1>

virtual void IBTK::FENodalMapping< dim, spacedim, n_nodes >::fillQuadraturePoints ( const libMesh::Elem * elem )

overrideprotectedvirtual

Compute the positions of quadrature points on the current element.

Implements IBTK::FEMapping< dim, dim >.

◆ getJxW() [2/2]

virtual const std::vector<double>& IBTK::FEMapping< dim, spacedim >::getJxW

pure virtualinherited

Get the current jacobian times quadrature weight (JxW) values.

◆ getQuadraturePoints() [2/2]

virtual const std::vector<libMesh::Point>& IBTK::FEMapping< dim, spacedim >::getQuadraturePoints

pure virtualinherited

Get the positions of the quadrature points on the current element.

◆ getContravariants() [2/2]

virtual const std::vector<Eigen::Matrix<double, spacedim, dim> >& IBTK::FEMapping< dim, spacedim >::getContravariants

pure virtualinherited

Get the contravariants.

◆ getCovariants() [2/2]

virtual const std::vector<Eigen::Matrix<double, spacedim, dim> >& IBTK::FEMapping< dim, spacedim >::getCovariants

pure virtualinherited

Get the covariants.

◆ build() [1/3]

static std::unique_ptr<FEMapping<dim, spacedim> > IBTK::FEMapping< dim, spacedim >::build	(	const key_type	key,
		const FEUpdateFlags	update_flags
	)

staticinherited

Return a pointer to the correct mapping for a given quadrature key and update flags object.

◆ build() [2/3]

std::unique_ptr< FEMapping< 2, 2 > > IBTK::FEMapping< 2, 2 >::build	(	const key_type	key,
		const FEUpdateFlags	update_flags
	)

inherited

◆ build() [3/3]

std::unique_ptr< FEMapping< 3, 3 > > IBTK::FEMapping< 3, 3 >::build	(	const key_type	key,
		const FEUpdateFlags	update_flags
	)

inherited

◆ fillTransforms()

virtual void IBTK::FEMapping< dim, spacedim >::fillTransforms ( const libMesh::Elem * elem )

protectedpure virtualinherited

Compute the contravariants and covariants. In general each mapping will have to overload this function.

Implemented in IBTK::FELagrangeMapping< 2, 2, 6 >, IBTK::FELagrangeMapping< 3, 3, 27 >, IBTK::FELagrangeMapping< 3, 3, 8 >, and IBTK::FELagrangeMapping< 3, 3, 10 >.

Member Data Documentation

◆ d_quadrature_data

template<int dim, int spacedim = dim, int n_nodes = -1>

const QuadratureData IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_quadrature_data

protected

Information on the relevant quadrature rule.

◆ d_update_flags

template<int dim, int spacedim = dim, int n_nodes = -1>

FEUpdateFlags IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_update_flags

protected

Computed update flags for the mapping.

◆ d_contravariants

template<int dim, int spacedim = dim, int n_nodes = -1>

std::vector<Eigen::Matrix<double, spacedim, dim> > IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_contravariants

protected

Array of contravariants.

◆ d_covariants

template<int dim, int spacedim = dim, int n_nodes = -1>

std::vector<Eigen::Matrix<double, spacedim, dim> > IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_covariants

protected

Array of covariants (i.e., the transpose of the inverse of the covariants when dim == spacedim)

◆ d_Jacobians

template<int dim, int spacedim = dim, int n_nodes = -1>

std::vector<double> IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_Jacobians

protected

Array of Jacobians.

◆ d_JxW

template<int dim, int spacedim = dim, int n_nodes = -1>

std::vector<double> IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_JxW

protected

Array of JxW values.

◆ d_quadrature_points

template<int dim, int spacedim = dim, int n_nodes = -1>

std::vector<libMesh::Point> IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_quadrature_points

protected

Array of mapped quadrature points.

◆ d_point_map

template<int dim, int spacedim = dim, int n_nodes = -1>

PointMap<dim, spacedim, n_nodes> IBTK::FENodalMapping< dim, spacedim, n_nodes >::d_point_map

protected

Object that computes quadrature point locations. This is sufficiently different from the rest of the mapping code that it is implemented in another class.

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

ibtk/include/ibtk/FEMapping.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<int dim, int spacedim = dim, int n_nodes = -1> class IBTK::FENodalMapping< dim, spacedim, n_nodes >

Member Typedef Documentation

◆ key_type

Constructor & Destructor Documentation

◆ FENodalMapping()

Member Function Documentation

◆ reinit()

◆ getJxW() [1/2]

◆ getQuadraturePoints() [1/2]

◆ getContravariants() [1/2]

◆ getCovariants() [1/2]

◆ isAffine()

◆ fillJacobians()

◆ fillJxW()

◆ fillQuadraturePoints()

◆ getJxW() [2/2]

◆ getQuadraturePoints() [2/2]

◆ getContravariants() [2/2]

◆ getCovariants() [2/2]

◆ build() [1/3]

◆ build() [2/3]

◆ build() [3/3]

◆ fillTransforms()

Member Data Documentation

◆ d_quadrature_data

◆ d_update_flags

◆ d_contravariants

◆ d_covariants

◆ d_Jacobians

◆ d_JxW

◆ d_quadrature_points

◆ d_point_map

template<int dim, int spacedim = dim, int n_nodes = -1>
class IBTK::FENodalMapping< dim, spacedim, n_nodes >