Reference documentation for deal.II version Git d9b14c2d54 20190914 18:13:29 0600

#include <deal.II/base/tensor_polynomials_base.h>
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 
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.
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.
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 27 of file tensor_polynomials_base.cc.

default 
Move constructor.

default 
Copy constructor.

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

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

inline 
Return the number of polynomials.
Definition at line 157 of file tensor_polynomials_base.h.

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.

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

pure virtual 
Return the name of the space.
Implemented in PolynomialsBDM< dim >, PolynomialsRT_Bubbles< dim >, PolynomialsBernardiRaugel< dim >, PolynomialsABF< dim >, PolynomialsNedelec< dim >, and PolynomialsRaviartThomas< dim >.

private 
The highest polynomial degree of this functions represented by this object.
Definition at line 145 of file tensor_polynomials_base.h.

private 
The number of polynomials represented by this object.
Definition at line 150 of file tensor_polynomials_base.h.