This class manages coordinate mappings for isoparametric cells. More...

#include <CoordinateElement.h>

Public Member Functions
	CoordinateElement (int basix_element_handle, int geometric_dimension, const std::string &signature, const ElementDofLayout &dof_layout, bool needs_permutation_data, std::function< int(int , const uint32_t)> permute_dofs, std::function< int(int , const uint32_t)> unpermute_dofs)
	Create a coordinate element. More...

virtual	~CoordinateElement ()=default
	Destructor.

std::string	signature () const
	String identifying the finite element. More...

mesh::CellType	cell_shape () const
	Cell shape. More...

int	topological_dimension () const
	Return the topological dimension of the cell shape.

int	geometric_dimension () const
	Return the geometric dimension of the cell shape.

const ElementDofLayout &	dof_layout () const
	Return the dof layout.

void	push_forward (Eigen::Ref< Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> x, const Eigen::Ref< const Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> &X, const Eigen::Ref< const Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> &cell_geometry) const
	Compute physical coordinates x for points X in the reference configuration. More...

void	compute_reference_geometry (Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor > &X, Eigen::Tensor< double, 3, Eigen::RowMajor > &J, tcb::span< double > detJ, Eigen::Tensor< double, 3, Eigen::RowMajor > &K, const Eigen::Ref< const Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> &x, const Eigen::Ref< const Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> &cell_geometry) const
	Compute reference coordinates X, and J, detJ and K for physical coordinates x.

void	permute_dofs (int *dofs, const uint32_t cell_perm) const
	Permutes a list of DOF numbers on a cell.

void	unpermute_dofs (int *dofs, const uint32_t cell_perm) const
	Reverses a DOF permutation.

bool	needs_permutation_data () const
	Indicates whether the coordinate map needs permutation data passing in (for higher order geometries)

Public Attributes
double	non_affine_atol = 1.0e-8
	Absolute increment stopping criterium for non-affine Newton solver.

int	non_affine_max_its = 10
	Maximum number of iterations for non-affine Newton solver.

Detailed Description

This class manages coordinate mappings for isoparametric cells.

Constructor & Destructor Documentation

◆ CoordinateElement()

CoordinateElement::CoordinateElement	(	int	basix_element_handle,
		int	geometric_dimension,
		const std::string &	signature,
		const ElementDofLayout &	dof_layout,
		bool	needs_permutation_data,
		std::function< int(int *, const uint32_t)>	permute_dofs,
		std::function< int(int *, const uint32_t)>	unpermute_dofs
	)

Create a coordinate element.

Parameters

[in]	basix_element_handle	Element handle from basix
[in]	geometric_dimension	Geometric dimension
[in]	signature	Signature string description of coordinate map
[in]	dof_layout	Layout of the geometry degrees-of-freedom
[in]	needs_permutation_data	Indicates whether or not the element needs permutation data (for higher order elements)
[in]	permute_dofs	Function that permutes the DOF numbering
[in]	unpermute_dofs	Function that reverses a DOF permutation

Member Function Documentation

◆ cell_shape()

mesh::CellType CoordinateElement::cell_shape ( ) const

Cell shape.

Returns: The cell shape

◆ push_forward()

void CoordinateElement::push_forward	(	Eigen::Ref< Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >>	x,
		const Eigen::Ref< const Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> &	X,
		const Eigen::Ref< const Eigen::Array< double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >> &	cell_geometry
	)		const

Compute physical coordinates x for points X in the reference configuration.

Parameters

[in,out]	x	The physical coordinates of the reference points X
[in]	X	The coordinates on the reference cells
[in]	cell_geometry	The cell node coordinates (physical)

◆ signature()

std::string CoordinateElement::signature ( ) const

String identifying the finite element.

Returns: The signature

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

/build/dolfinx-gH0Wrx/dolfinx-2019.2.0~git20210130.c14cb0a/cpp/dolfinx/fem/CoordinateElement.h
/build/dolfinx-gH0Wrx/dolfinx-2019.2.0~git20210130.c14cb0a/cpp/dolfinx/fem/CoordinateElement.cpp

Public Member Functions