Reference documentation for deal.II version GIT 5c75851574 2022-09-25 16:30:01+00:00
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Public Member Functions | Static Public Attributes | Private Attributes | List of all members
ScalarLagrangePolynomialPyramid< dim > Class Template Reference

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

Inheritance diagram for ScalarLagrangePolynomialPyramid< dim >:
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Public Member Functions

 ScalarLagrangePolynomialPyramid (const unsigned int degree)
 
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 override
 
template<int order>
Tensor< order, dim > compute_derivative (const unsigned int i, const Point< dim > &p) const
 
Tensor< 1, dim > compute_1st_derivative (const unsigned int i, const Point< dim > &p) const override
 
Tensor< 2, dim > compute_2nd_derivative (const unsigned int i, const Point< dim > &p) const override
 
Tensor< 3, dim > compute_3rd_derivative (const unsigned int i, const Point< dim > &p) const override
 
Tensor< 4, dim > compute_4th_derivative (const unsigned int i, const Point< dim > &p) const override
 
Tensor< 1, dim > compute_grad (const unsigned int i, const Point< dim > &p) const override
 
Tensor< 2, dim > compute_grad_grad (const unsigned int i, const Point< dim > &p) const override
 
std::string name () const override
 
virtual std::unique_ptr< ScalarPolynomialsBase< dim > > clone () const override
 
unsigned int n () const
 
virtual unsigned int degree () const
 
virtual std::size_t memory_consumption () const
 

Static Public Attributes

static constexpr unsigned int dimension = dim
 

Private Attributes

const unsigned int polynomial_degree
 
const unsigned int n_pols
 

Detailed Description

template<int dim>
class ScalarLagrangePolynomialPyramid< dim >

Polynomials defined on pyramid entities. This class is basis of FE_PyramidP.

Definition at line 31 of file polynomials_pyramid.h.

Constructor & Destructor Documentation

◆ ScalarLagrangePolynomialPyramid()

template<int dim>
ScalarLagrangePolynomialPyramid< dim >::ScalarLagrangePolynomialPyramid ( const unsigned int  degree)

Definition at line 43 of file polynomials_pyramid.cc.

Member Function Documentation

◆ evaluate()

template<int dim>
void ScalarLagrangePolynomialPyramid< 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 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.

Note
Currently, only the vectors values and grads are filled.

Implements ScalarPolynomialsBase< dim >.

Definition at line 182 of file polynomials_pyramid.cc.

◆ compute_value()

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

Compute the value of the ith polynomial at unit point p.

Consider using evaluate() instead.

Implements ScalarPolynomialsBase< dim >.

Definition at line 52 of file polynomials_pyramid.cc.

◆ compute_derivative()

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

Compute the orderth derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Template Parameters
orderThe order of the derivative.
Note
Currently, only implemented for first derivative.

Definition at line 125 of file polynomials_pyramid.h.

◆ compute_1st_derivative()

template<int dim>
Tensor< 1, dim > ScalarLagrangePolynomialPyramid< dim >::compute_1st_derivative ( const unsigned int  i,
const Point< dim > &  p 
) const
overridevirtual

Compute the first derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Implements ScalarPolynomialsBase< dim >.

Definition at line 208 of file polynomials_pyramid.cc.

◆ compute_2nd_derivative()

template<int dim>
Tensor< 2, dim > ScalarLagrangePolynomialPyramid< dim >::compute_2nd_derivative ( const unsigned int  i,
const Point< dim > &  p 
) const
overridevirtual

Compute the second derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Implements ScalarPolynomialsBase< dim >.

Definition at line 219 of file polynomials_pyramid.cc.

◆ compute_3rd_derivative()

template<int dim>
Tensor< 3, dim > ScalarLagrangePolynomialPyramid< dim >::compute_3rd_derivative ( const unsigned int  i,
const Point< dim > &  p 
) const
overridevirtual

Compute the third derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note
Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 235 of file polynomials_pyramid.cc.

◆ compute_4th_derivative()

template<int dim>
Tensor< 4, dim > ScalarLagrangePolynomialPyramid< dim >::compute_4th_derivative ( const unsigned int  i,
const Point< dim > &  p 
) const
overridevirtual

Compute the fourth derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note
Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 251 of file polynomials_pyramid.cc.

◆ compute_grad()

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

Compute the gradient of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note
Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 90 of file polynomials_pyramid.cc.

◆ compute_grad_grad()

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

Compute the second derivative (grad_grad) of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note
Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 167 of file polynomials_pyramid.cc.

◆ name()

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

Return the name of the space.

Implements ScalarPolynomialsBase< dim >.

Definition at line 267 of file polynomials_pyramid.cc.

◆ clone()

template<int dim>
std::unique_ptr< ScalarPolynomialsBase< dim > > ScalarLagrangePolynomialPyramid< 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 276 of file polynomials_pyramid.cc.

◆ n()

template<int dim>
unsigned int ScalarPolynomialsBase< dim >::n
inlineinherited

Return the number of polynomials.

Definition at line 240 of file scalar_polynomials_base.h.

◆ degree()

template<int dim>
unsigned int ScalarPolynomialsBase< dim >::degree
inlinevirtualinherited

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.

Reimplemented in PolynomialsP< dim >.

Definition at line 249 of file scalar_polynomials_base.h.

◆ memory_consumption()

template<int dim>
std::size_t ScalarPolynomialsBase< dim >::memory_consumption
virtualinherited

Return an estimate (in bytes) for the memory consumption of this object.

Reimplemented in TensorProductPolynomials< dim, PolynomialType >, TensorProductPolynomials< dim - 1 >, BarycentricPolynomials< dim >, BarycentricPolynomials< 1 >, and BarycentricPolynomials< 2 >.

Definition at line 39 of file scalar_polynomials_base.cc.

Member Data Documentation

◆ dimension

template<int dim>
constexpr unsigned int ScalarLagrangePolynomialPyramid< dim >::dimension = dim
staticconstexpr

Make the dimension available to the outside.

Definition at line 37 of file polynomials_pyramid.h.

◆ polynomial_degree

template<int dim>
const unsigned int ScalarPolynomialsBase< dim >::polynomial_degree
privateinherited

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

Definition at line 228 of file scalar_polynomials_base.h.

◆ n_pols

template<int dim>
const unsigned int ScalarPolynomialsBase< dim >::n_pols
privateinherited

The number of polynomials represented by this object.

Definition at line 233 of file scalar_polynomials_base.h.


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