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Reference documentation for deal.II version 9.6.0
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#include <deal.II/base/polynomials_pyramid.h>
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 |
Polynomials defined on pyramid entities. This class is basis of FE_PyramidP.
Definition at line 30 of file polynomials_pyramid.h.
ScalarLagrangePolynomialPyramid< dim >::ScalarLagrangePolynomialPyramid | ( | const unsigned int | degree | ) |
Definition at line 42 of file polynomials_pyramid.cc.
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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.
values
and grads
are filled. Implements ScalarPolynomialsBase< dim >.
Definition at line 181 of file polynomials_pyramid.cc.
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overridevirtual |
Compute the value of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 51 of file polynomials_pyramid.cc.
Tensor< order, dim > ScalarLagrangePolynomialPyramid< dim >::compute_derivative | ( | const unsigned int | i, |
const Point< dim > & | p ) const |
Compute the order
th derivative of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
order | The order of the derivative. |
Definition at line 124 of file polynomials_pyramid.h.
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overridevirtual |
Compute the first derivative of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 207 of file polynomials_pyramid.cc.
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overridevirtual |
Compute the second derivative of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 218 of file polynomials_pyramid.cc.
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overridevirtual |
Compute the third derivative of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 234 of file polynomials_pyramid.cc.
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overridevirtual |
Compute the fourth derivative of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 250 of file polynomials_pyramid.cc.
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overridevirtual |
Compute the gradient of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 89 of file polynomials_pyramid.cc.
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overridevirtual |
Compute the second derivative (grad_grad) of the i
th polynomial at unit point p
.
Consider using evaluate() instead.
Implements ScalarPolynomialsBase< dim >.
Definition at line 166 of file polynomials_pyramid.cc.
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overridevirtual |
Return the name of the space.
Implements ScalarPolynomialsBase< dim >.
Definition at line 266 of file polynomials_pyramid.cc.
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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 275 of file polynomials_pyramid.cc.
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inlineinherited |
Return the number of polynomials.
Definition at line 239 of file scalar_polynomials_base.h.
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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 248 of file scalar_polynomials_base.h.
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virtualinherited |
Return an estimate (in bytes) for the memory consumption of this object.
Reimplemented in BarycentricPolynomials< dim >, BarycentricPolynomials< 1 >, BarycentricPolynomials< 2 >, TensorProductPolynomials< dim, PolynomialType >, and TensorProductPolynomials< dim - 1 >.
Definition at line 38 of file scalar_polynomials_base.cc.
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staticconstexpr |
Make the dimension available to the outside.
Definition at line 36 of file polynomials_pyramid.h.
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privateinherited |
The highest polynomial degree of this functions represented by this object.
Definition at line 227 of file scalar_polynomials_base.h.
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privateinherited |
The number of polynomials represented by this object.
Definition at line 232 of file scalar_polynomials_base.h.