mfem::DofToQuad Class Reference

Structure representing the matrices/tensors needed to evaluate (in reference space) the values, gradients, divergences, or curls of a FiniteElement at a the quadrature points of a given IntegrationRule. More...

#include <fe.hpp>

Collaboration diagram for mfem::DofToQuad:

Public Types
enum	Mode { FULL, TENSOR }
	Type of data stored in the arrays B, Bt, G, and Gt. More...

Public Attributes
class FiniteElement *	FE
	The FiniteElement that created and owns this object. More...
const IntegrationRule *	IntRule
	IntegrationRule that defines the quadrature points at which the basis functions of the FE are evaluated. More...
Mode	mode
	Describes the contents of the B, Bt, G, and Gt arrays, see Mode. More...
int	ndof
	Number of degrees of freedom = number of basis functions. When mode is TENSOR, this is the 1D number. More...
int	nqpt
	Number of quadrature points. When mode is TENSOR, this is the 1D number. More...
Array< double >	B
	Basis functions evaluated at quadrature points. More...
Array< double >	Bt
	Transpose of B. More...
Array< double >	G
	Gradients/divergences/curls of basis functions evaluated at quadrature points. More...
Array< double >	Gt
	Transpose of G. More...

Detailed Description

Structure representing the matrices/tensors needed to evaluate (in reference space) the values, gradients, divergences, or curls of a FiniteElement at a the quadrature points of a given IntegrationRule.

Object of this type are typically created and owned by the respective FiniteElement object.

Definition at line 139 of file fe.hpp.

Member Enumeration Documentation

enum mfem::DofToQuad::Mode

Type of data stored in the arrays B, Bt, G, and Gt.

Enumerator
FULL	Full multidimensional representation which does not use tensor product structure. The ordering of the degrees of freedom is as defined by FE.
TENSOR	Tensor product representation using 1D matrices/tensors with dimensions using 1D number of quadrature points and degrees of freedom. When representing a vector-valued FiniteElement, two DofToQuad objects are used to describe the "closed" and "open" 1D basis functions (TODO).

Definition at line 152 of file fe.hpp.

Member Data Documentation

Array<double> mfem::DofToQuad::B

Basis functions evaluated at quadrature points.

The storage layout is column-major with dimensions:

• nqpt x ndof, for scalar elements, or
• nqpt x dim x ndof, for vector elements, (TODO)

where

• dim = dimension of the finite element reference space when mode is FULL, and dim = 1 when mode is TENSOR.

Definition at line 188 of file fe.hpp.

Array<double> mfem::DofToQuad::Bt

Transpose of B.

The storage layout is column-major with dimensions:

• ndof x nqpt, for scalar elements, or
• ndof x nqpt x dim, for vector elements (TODO).

Definition at line 194 of file fe.hpp.

class FiniteElement* mfem::DofToQuad::FE

The FiniteElement that created and owns this object.

This pointer is not owned.

Definition at line 144 of file fe.hpp.

Array<double> mfem::DofToQuad::G

Gradients/divergences/curls of basis functions evaluated at quadrature points.

The storage layout is column-major with dimensions:

• nqpt x dim x ndof, for scalar elements, or
• nqpt x ndof, for H(div) vector elements (TODO), or
• nqpt x cdim x ndof, for H(curl) vector elements (TODO),

where

• dim = dimension of the finite element reference space when mode is FULL, and 1 when mode is TENSOR,
• cdim = 1/1/3 in 1D/2D/3D, respectively, when mode is FULL, and cdim = 1 when mode is TENSOR.

Definition at line 209 of file fe.hpp.

Array<double> mfem::DofToQuad::Gt

Transpose of G.

The storage layout is column-major with dimensions:

• ndof x nqpt x dim, for scalar elements, or
• ndof x nqpt, for H(div) vector elements (TODO), or
• ndof x nqpt x cdim, for H(curl) vector elements (TODO).

Definition at line 216 of file fe.hpp.

const IntegrationRule* mfem::DofToQuad::IntRule

IntegrationRule that defines the quadrature points at which the basis functions of the FE are evaluated.

This pointer is not owned.

Definition at line 149 of file fe.hpp.

Mode mfem::DofToQuad::mode

Describes the contents of the B, Bt, G, and Gt arrays, see Mode.

Definition at line 169 of file fe.hpp.

int mfem::DofToQuad::ndof

Number of degrees of freedom = number of basis functions. When mode is TENSOR, this is the 1D number.

Definition at line 173 of file fe.hpp.

int mfem::DofToQuad::nqpt

Number of quadrature points. When mode is TENSOR, this is the 1D number.

Definition at line 177 of file fe.hpp.

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

• fem/fe.hpp