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Reference documentation for deal.II version 9.2.0
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Reference documentation for deal.II version 9.2.0
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#include <deal.II/base/scalar_polynomials_base.h>
Public Member Functions | |
| ScalarPolynomialsBase (const unsigned int deg, const unsigned int n_polynomials) | |
| ScalarPolynomialsBase (ScalarPolynomialsBase< dim > &&)=default | |
| ScalarPolynomialsBase (const ScalarPolynomialsBase< dim > &)=default | |
| virtual | ~ScalarPolynomialsBase ()=default |
| virtual 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 =0 |
| unsigned int | n () const |
| unsigned int | degree () const |
| virtual std::unique_ptr< ScalarPolynomialsBase< dim > > | clone () const =0 |
| virtual std::string | name () const =0 |
| virtual std::size_t | memory_consumption () const |
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_Poly. 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_Poly.
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
PolynomialsAdini PolynomialsRannacherTurek PolynomialsP PolynomialSpace TensorProductPolynomials TensorProductPolynomialsConst TensorProductPolynomialsBubbles Definition at line 63 of file scalar_polynomials_base.h.
| ScalarPolynomialsBase< dim >::ScalarPolynomialsBase | ( | const unsigned int | deg, |
| const unsigned int | n_polynomials | ||
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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 scalar_polynomials_base.cc.
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default |
Move constructor.
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default |
Copy constructor.
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virtualdefault |
Virtual destructor. Makes sure that pointers to this class are deleted properly.
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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 AnisotropicPolynomials< dim >, PolynomialSpace< dim >, PolynomialSpace< dim - 1 >, TensorProductPolynomials< dim, PolynomialType >, TensorProductPolynomials< dim, Polynomials::PiecewisePolynomial< double > >, TensorProductPolynomials< dim - 1 >, TensorProductPolynomials< dim >, PolynomialsRannacherTurek< dim >, and PolynomialsAdini< dim >.
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inline |
Return the number of polynomials.
Definition at line 164 of file scalar_polynomials_base.h.
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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 173 of file scalar_polynomials_base.h.
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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_Poly, need to make copies of polynomial spaces without knowing their exact type. They do so through this function.
Implemented in AnisotropicPolynomials< dim >, PolynomialSpace< dim >, TensorProductPolynomials< dim, PolynomialType >, PolynomialsAdini< dim >, and PolynomialsRannacherTurek< dim >.
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pure virtual |
Return the name of the space.
Implemented in AnisotropicPolynomials< dim >, PolynomialSpace< dim >, TensorProductPolynomials< dim, PolynomialType >, PolynomialsAdini< dim >, and PolynomialsRannacherTurek< dim >.
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virtual |
Return an estimate (in bytes) for the memory consumption of this object.
Reimplemented in TensorProductPolynomials< dim, PolynomialType >.
Definition at line 39 of file scalar_polynomials_base.cc.
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private |
The highest polynomial degree of this functions represented by this object.
Definition at line 152 of file scalar_polynomials_base.h.
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private |
The number of polynomials represented by this object.
Definition at line 157 of file scalar_polynomials_base.h.
1.8.17