TensorPolynomialsBase< dim > Class Template Reference

#include <deal.II/base/tensor_polynomials_base.h>

Inheritance diagram for TensorPolynomialsBase< dim >:

Public Member Functions
	TensorPolynomialsBase (const unsigned int deg, const unsigned int n_polynomials)
	TensorPolynomialsBase (TensorPolynomialsBase< dim > &&)=default
	TensorPolynomialsBase (const TensorPolynomialsBase< dim > &)=default
virtual	~TensorPolynomialsBase ()=default
virtual void	evaluate (const Point< dim > &unit_point, std::vector< Tensor< 1, dim > > &values, std::vector< Tensor< 2, dim > > &grads, std::vector< Tensor< 3, dim > > &grad_grads, std::vector< Tensor< 4, dim > > &third_derivatives, std::vector< Tensor< 5, dim > > &fourth_derivatives) const =0
unsigned int	n () const
unsigned int	degree () const
virtual std::unique_ptr< TensorPolynomialsBase< dim > >	clone () const =0
virtual std::string	name () const =0

Private Attributes
const unsigned int	polynomial_degree
const unsigned int	n_pols

Detailed Description

template<int dim>
class TensorPolynomialsBase< dim >

This class provides a framework for the finite element polynomial classes for use with finite element classes that are derived from FE_PolyTensor. An object of this type (or rather of a type derived from this class) is stored as a member variable in each object of type FE_PolyTensor.

Deriving classes

Any derived class must provide the most basic properties for shape functions evaluated on the reference cell. This includes, but is not limited to, implementing the evaluate(), name(), and clone() member functions. These functions are necessary to store the most basic information of how the polynomials in the derived class evaluate at a given point on the reference cell. More information on each function can be found in the corresponding function's documentation.

Some classes that derive from this class include

• PolynomialsABF
• PolynomialsBDM
• PolynomialsBernardiRaugel
• PolynomialsNedelec
• PolynomialsRaviartThomas
• PolynomialsRT_Bubbles

Definition at line 62 of file tensor_polynomials_base.h.

Constructor & Destructor Documentation

TensorPolynomialsBase() [1/3]

template<int dim>

TensorPolynomialsBase< dim >::TensorPolynomialsBase	(	const unsigned int	deg,
		const unsigned int	n_polynomials
	)

Constructor. This takes the degree of the space, deg from the finite element class, and n, the number of polynomials for the space.

Definition at line 26 of file tensor_polynomials_base.cc.

TensorPolynomialsBase() [2/3]

template<int dim>

TensorPolynomialsBase< dim >::TensorPolynomialsBase ( TensorPolynomialsBase< dim > &&  )

default

Move constructor.

TensorPolynomialsBase() [3/3]

template<int dim>

TensorPolynomialsBase< dim >::TensorPolynomialsBase ( const TensorPolynomialsBase< dim > &  )

default

Copy constructor.

~TensorPolynomialsBase()

template<int dim>

virtual TensorPolynomialsBase< dim >::~TensorPolynomialsBase ( )

virtualdefault

Virtual destructor. Makes sure that pointers to this class are deleted properly.

Member Function Documentation

evaluate()

template<int dim>

virtual void TensorPolynomialsBase< dim >::evaluate ( const Point< dim > &  unit_point, std::vector< Tensor< 1, dim > > &  values, std::vector< Tensor< 2, dim > > &  grads, std::vector< Tensor< 3, dim > > &  grad_grads, std::vector< Tensor< 4, dim > > &  third_derivatives, std::vector< Tensor< 5, dim > > &  fourth_derivatives  ) const

pure virtual

Compute the value and the derivatives of the polynomials at unit_point.

The size of the vectors must either be zero or equal n(). In the first case, the function will not compute these values.

If you need values or derivatives of all polynomials then use this function, rather than using any of the compute_value, compute_grad or compute_grad_grad functions, see below, in a loop over all tensor product polynomials.

Implemented in PolynomialsABF< dim >, PolynomialsBDM< dim >, PolynomialsBernardiRaugel< dim >, PolynomialsNedelec< dim >, PolynomialsRaviartThomas< dim >, and PolynomialsRT_Bubbles< dim >.

n()

template<int dim>

unsigned int TensorPolynomialsBase< dim >::n

inline

Return the number of polynomials.

Definition at line 157 of file tensor_polynomials_base.h.

degree()

template<int dim>

unsigned int TensorPolynomialsBase< dim >::degree

inline

Return the highest polynomial degree of polynomials represented by this class. A derived class may override this if its value is different from my_degree.

Definition at line 166 of file tensor_polynomials_base.h.

clone()

template<int dim>

virtual std::unique_ptr< TensorPolynomialsBase< dim > > TensorPolynomialsBase< dim >::clone ( ) const

pure virtual

A sort of virtual copy constructor, this function returns a copy of the polynomial space object. Derived classes need to override the function here in this base class and return an object of the same type as the derived class.

Some places in the library, for example the constructors of FE_PolyTensor, need to make copies of polynomial spaces without knowing their exact type. They do so through this function.

Implemented in PolynomialsABF< dim >, PolynomialsBDM< dim >, PolynomialsBernardiRaugel< dim >, PolynomialsNedelec< dim >, PolynomialsRaviartThomas< dim >, and PolynomialsRT_Bubbles< dim >.

name()

template<int dim>

virtual std::string TensorPolynomialsBase< dim >::name ( ) const

pure virtual

Return the name of the space.

Implemented in PolynomialsABF< dim >, PolynomialsBDM< dim >, PolynomialsBernardiRaugel< dim >, PolynomialsNedelec< dim >, PolynomialsRaviartThomas< dim >, and PolynomialsRT_Bubbles< dim >.

Member Data Documentation

polynomial_degree

template<int dim>

const unsigned int TensorPolynomialsBase< dim >::polynomial_degree

private

The highest polynomial degree of this functions represented by this object.

Definition at line 145 of file tensor_polynomials_base.h.

n_pols

template<int dim>

const unsigned int TensorPolynomialsBase< dim >::n_pols

private

The number of polynomials represented by this object.

Definition at line 150 of file tensor_polynomials_base.h.

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

• include/deal.II/base/tensor_polynomials_base.h
• source/base/tensor_polynomials_base.cc