Reference documentation for deal.II version Git 7e76c9f1da 2019-09-19 09:07:25 +0200
TensorProductPolynomialsBubbles< dim > Class Template Reference

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

Inheritance diagram for TensorProductPolynomialsBubbles< dim >:
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Public Member Functions

template<class Pol >
TensorProductPolynomialsBubbles (const std::vector< Pol > &pols)

void output_indices (std::ostream &out) const

void set_numbering (const std::vector< unsigned int > &renumber)

const std::vector< unsigned int > & get_numbering () const

const std::vector< unsigned int > & get_numbering_inverse () const

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

double compute_value (const unsigned int i, const Point< dim > &p) const

template<int order>
Tensor< order, dim > compute_derivative (const unsigned int i, const Point< dim > &p) const

Tensor< 1, dim > compute_grad (const unsigned int i, const Point< dim > &p) const

Tensor< 2, dim > compute_grad_grad (const unsigned int i, const Point< dim > &p) const

unsigned int n () const

std::string name () const override

virtual std::unique_ptr< ScalarPolynomialsBase< dim > > clone () const override

Public Member Functions inherited from ScalarPolynomialsBase< dim >
ScalarPolynomialsBase (const unsigned int deg, const unsigned int n_polynomials)

ScalarPolynomialsBase (ScalarPolynomialsBase< dim > &&)=default

ScalarPolynomialsBase (const ScalarPolynomialsBase< dim > &)=default

virtual ~ScalarPolynomialsBase ()=default

unsigned int n () const

unsigned int degree () const

Static Public Attributes

static const unsigned int dimension = dim

Private Attributes

TensorProductPolynomials< dim > tensor_polys

std::vector< unsigned int > index_map

std::vector< unsigned int > index_map_inverse

Detailed Description

template<int dim> class TensorProductPolynomialsBubbles< dim >

Tensor product of given polynomials and bubble functions of form $$(2*x_j-1)^{degree-1}\prod_{i=0}^{dim-1}(x_i(1-x_i))$$. This class inherits most of its functionality from TensorProductPolynomials. The bubble enrichments are added for the last indices. index.

Definition at line 37 of file tensor_product_polynomials.h.

◆ TensorProductPolynomialsBubbles()

template<int dim>
template<class Pol >
 TensorProductPolynomialsBubbles< dim >::TensorProductPolynomialsBubbles ( const std::vector< Pol > & pols )

Constructor. pols is a vector of objects that should be derived or otherwise convertible to one-dimensional polynomial objects. It will be copied element by element into a private variable.

◆ output_indices()

template<int dim>
 void TensorProductPolynomialsBubbles< dim >::output_indices ( std::ostream & out ) const

Print the list of tensor_polys indices to out.

Definition at line 31 of file tensor_product_polynomials_bubbles.cc.

◆ set_numbering()

template<int dim>
 void TensorProductPolynomialsBubbles< dim >::set_numbering ( const std::vector< unsigned int > & renumber )

Set the ordering of the polynomials. Requires renumber.size()==tensor_polys.n(). Stores a copy of renumber.

Definition at line 48 of file tensor_product_polynomials_bubbles.cc.

◆ get_numbering()

template<int dim>
 const std::vector& TensorProductPolynomialsBubbles< dim >::get_numbering ( ) const

◆ get_numbering_inverse()

template<int dim>
 const std::vector& TensorProductPolynomialsBubbles< dim >::get_numbering_inverse ( ) const

◆ evaluate()

template<int dim>
 void TensorProductPolynomialsBubbles< dim >::evaluate ( const Point< dim > & unit_point, std::vector< double > & values, std::vector< Tensor< 1, dim >> & grads, std::vector< Tensor< 2, dim >> & grad_grads, std::vector< Tensor< 3, dim >> & third_derivatives, std::vector< Tensor< 4, dim >> & fourth_derivatives ) const
overridevirtual

Compute the value and the first and second derivatives of each tensor product polynomial at unit_point.

The size of the vectors must either be equal 0 or equal n(). In the first case, the function will not compute these values.

If you need values or derivatives of all tensor product 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.

Implements ScalarPolynomialsBase< dim >.

Definition at line 257 of file tensor_product_polynomials_bubbles.cc.

◆ compute_value()

template<int dim>
 double TensorProductPolynomialsBubbles< dim >::compute_value ( const unsigned int i, const Point< dim > & p ) const

Compute the value of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.

Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each point value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function with values.size()==n() to get the point values of all tensor polynomials all at once and in a much more efficient way.

Definition at line 68 of file tensor_product_polynomials_bubbles.cc.

◆ compute_derivative()

template<int dim>
template<int order>
 Tensor TensorProductPolynomialsBubbles< dim >::compute_derivative ( const unsigned int i, const Point< dim > & p ) const

Compute the order order derivative of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.

Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each derivative value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function, see above, with the size of the appropriate parameter set to n() to get the point value of all tensor polynomials all at once and in a much more efficient way.

template<int dim>
 Tensor< 1, dim > TensorProductPolynomialsBubbles< dim >::compute_grad ( const unsigned int i, const Point< dim > & p ) const

Compute the grad of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.

Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each derivative value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function, see above, with grads.size()==n() to get the point value of all tensor polynomials all at once and in a much more efficient way.

Definition at line 107 of file tensor_product_polynomials_bubbles.cc.

template<int dim>
 Tensor< 2, dim > TensorProductPolynomialsBubbles< dim >::compute_grad_grad ( const unsigned int i, const Point< dim > & p ) const

Compute the second derivative (grad_grad) of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.

Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each derivative value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function, see above, with grad_grads.size()==n() to get the point value of all tensor polynomials all at once and in a much more efficient way.

Definition at line 153 of file tensor_product_polynomials_bubbles.cc.

◆ n()

template<int dim>
 unsigned int TensorProductPolynomialsBubbles< dim >::n ( ) const

Return the number of tensor product polynomials plus the bubble enrichments. For n 1d polynomials this is ndim+1 if the maximum degree of the polynomials is one and ndim+dim otherwise.

◆ name()

template<int dim>
 std::string TensorProductPolynomialsBubbles< dim >::name ( ) const
overridevirtual

Return the name of the space, which is TensorProductPolynomialsBubbles.

Implements ScalarPolynomialsBase< dim >.

◆ clone()

template<int dim>
 std::unique_ptr< ScalarPolynomialsBase< dim > > TensorProductPolynomialsBubbles< dim >::clone ( ) const
overridevirtual

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_Poly, need to make copies of polynomial spaces without knowing their exact type. They do so through this function.

Implements ScalarPolynomialsBase< dim >.

Definition at line 337 of file tensor_product_polynomials_bubbles.cc.

◆ dimension

template<int dim>
 const unsigned int TensorProductPolynomialsBubbles< dim >::dimension = dim
static

Access to the dimension of this object, for checking and automatic setting of dimension in other classes.

Definition at line 54 of file tensor_product_polynomials_bubbles.h.

◆ tensor_polys

template<int dim>
 TensorProductPolynomials TensorProductPolynomialsBubbles< dim >::tensor_polys
private

The TensorProductPolynomials object

Definition at line 197 of file tensor_product_polynomials_bubbles.h.

◆ index_map

template<int dim>
 std::vector TensorProductPolynomialsBubbles< dim >::index_map
private

Index map for reordering the polynomials.

Definition at line 202 of file tensor_product_polynomials_bubbles.h.

◆ index_map_inverse

template<int dim>
 std::vector TensorProductPolynomialsBubbles< dim >::index_map_inverse
private

Index map for reordering the polynomials.

Definition at line 207 of file tensor_product_polynomials_bubbles.h.

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