internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > Class Template Reference

#include <deal.II/fe/mapping_related_data.h>

Detailed Description

template<int dim, int spacedim = dim>
class internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >

A class that stores all of the mapping related data used in FEValues, FEFaceValues, and FESubfaceValues objects. Objects of this kind will be given as output argument when FEValues::reinit() calls Mapping::fill_fe_values() for a given cell, face, or subface.

The data herein will then be provided as input argument in the following call to FiniteElement::fill_fe_values().

Definition at line 49 of file mapping_related_data.h.

Inheritance diagram for internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >:

Public Member Functions
void	initialize (const unsigned int n_quadrature_points, const UpdateFlags flags)
std::size_t	memory_consumption () const

Public Attributes
std::vector< double >	JxW_values
std::vector< DerivativeForm< 1, dim, spacedim > >	jacobians
std::vector< DerivativeForm< 2, dim, spacedim > >	jacobian_grads
std::vector< DerivativeForm< 1, spacedim, dim > >	inverse_jacobians
std::vector< Tensor< 3, spacedim > >	jacobian_pushed_forward_grads
std::vector< DerivativeForm< 3, dim, spacedim > >	jacobian_2nd_derivatives
std::vector< Tensor< 4, spacedim > >	jacobian_pushed_forward_2nd_derivatives
std::vector< DerivativeForm< 4, dim, spacedim > >	jacobian_3rd_derivatives
std::vector< Tensor< 5, spacedim > >	jacobian_pushed_forward_3rd_derivatives
std::vector< Point< spacedim > >	quadrature_points
std::vector< Tensor< 1, spacedim > >	normal_vectors
std::vector< Tensor< 1, spacedim > >	boundary_forms

Member Function Documentation

initialize()

template<int dim, int spacedim>

void internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::initialize	(	const unsigned int	n_quadrature_points,
		const UpdateFlags	flags
	)

Initialize all vectors to correct size.

Definition at line 27 of file mapping_related_data.cc.

memory_consumption()

template<int dim, int spacedim>

std::size_t internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::memory_consumption

(

)

const

Compute and return an estimate for the memory consumption (in bytes) of this object.

Definition at line 88 of file mapping_related_data.cc.

Member Data Documentation

JxW_values

template<int dim, int spacedim = dim>

std::vector<double> internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::JxW_values

Store an array of weights times the Jacobi determinant at the quadrature points. This function is reset each time reinit() is called. The Jacobi determinant is actually the reciprocal value of the Jacobi matrices stored in this class, see the general documentation of this class for more information.

However, if this object refers to an FEFaceValues or FESubfaceValues object, then the JxW_values correspond to the Jacobian of the transformation of the face, not the cell, i.e. the dimensionality is that of a surface measure, not of a volume measure. In this case, it is computed from the boundary forms, rather than the Jacobian matrix.

Definition at line 79 of file mapping_related_data.h.

jacobians

template<int dim, int spacedim = dim>

std::vector<DerivativeForm<1, dim, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobians

Array of the Jacobian matrices at the quadrature points.

Definition at line 84 of file mapping_related_data.h.

jacobian_grads

template<int dim, int spacedim = dim>

std::vector<DerivativeForm<2, dim, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobian_grads

Array of the derivatives of the Jacobian matrices at the quadrature points.

Definition at line 90 of file mapping_related_data.h.

inverse_jacobians

template<int dim, int spacedim = dim>

std::vector<DerivativeForm<1, spacedim, dim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::inverse_jacobians

Array of the inverse Jacobian matrices at the quadrature points.

Definition at line 95 of file mapping_related_data.h.

jacobian_pushed_forward_grads

template<int dim, int spacedim = dim>

std::vector<Tensor<3, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobian_pushed_forward_grads

Array of the derivatives of the Jacobian matrices at the quadrature points, pushed forward to the real cell coordinates.

Definition at line 101 of file mapping_related_data.h.

jacobian_2nd_derivatives

template<int dim, int spacedim = dim>

std::vector<DerivativeForm<3, dim, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobian_2nd_derivatives

Array of the second derivatives of the Jacobian matrices at the quadrature points.

Definition at line 107 of file mapping_related_data.h.

jacobian_pushed_forward_2nd_derivatives

template<int dim, int spacedim = dim>

std::vector<Tensor<4, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobian_pushed_forward_2nd_derivatives

Array of the second derivatives of the Jacobian matrices at the quadrature points, pushed forward to the real cell coordinates.

Definition at line 113 of file mapping_related_data.h.

jacobian_3rd_derivatives

template<int dim, int spacedim = dim>

std::vector<DerivativeForm<4, dim, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobian_3rd_derivatives

Array of the third derivatives of the Jacobian matrices at the quadrature points.

Definition at line 119 of file mapping_related_data.h.

jacobian_pushed_forward_3rd_derivatives

template<int dim, int spacedim = dim>

std::vector<Tensor<5, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::jacobian_pushed_forward_3rd_derivatives

Array of the third derivatives of the Jacobian matrices at the quadrature points, pushed forward to the real cell coordinates.

Definition at line 125 of file mapping_related_data.h.

quadrature_points

template<int dim, int spacedim = dim>

std::vector<Point<spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::quadrature_points

Array of quadrature points. This array is set up upon calling reinit() and contains the quadrature points on the real element, rather than on the reference element.

Definition at line 132 of file mapping_related_data.h.

normal_vectors

template<int dim, int spacedim = dim>

std::vector<Tensor<1, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::normal_vectors

List of outward normal vectors at the quadrature points.

Definition at line 137 of file mapping_related_data.h.

boundary_forms

template<int dim, int spacedim = dim>

std::vector<Tensor<1, spacedim> > internal::FEValuesImplementation::MappingRelatedData< dim, spacedim >::boundary_forms

List of boundary forms at the quadrature points.

Definition at line 142 of file mapping_related_data.h.

---

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

• include/deal.II/fe/mapping_related_data.h
• source/fe/mapping_related_data.cc