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Reference documentation for deal.II version 9.0.0
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Reference documentation for deal.II version 9.0.0
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#include <deal.II/base/function_lib.h>
Public Member Functions | |
| Monomial (const Tensor< 1, dim > &exponents, const unsigned int n_components=1) | |
| virtual double | value (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_value (const Point< dim > &p, Vector< double > &values) const |
| virtual void | value_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const |
| virtual Tensor< 1, dim > | gradient (const Point< dim > &p, const unsigned int component=0) const |
 Public Member Functions inherited from Function< dim > | |
| Function (const unsigned int n_components=1, const double initial_time=0.0) | |
| virtual | ~Function ()=0 |
| Function & | operator= (const Function &f) |
| virtual void | vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const |
| virtual void | vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const |
| virtual void | vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, double > > &gradients) const |
| virtual void | gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim, double > > &gradients, const unsigned int component=0) const |
| virtual void | vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, double > > > &gradients) const |
| virtual void | vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, double > > > &gradients) const |
| virtual double | laplacian (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_laplacian (const Point< dim > &p, Vector< double > &values) const |
| virtual void | laplacian_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const |
| virtual void | vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const |
| virtual SymmetricTensor< 2, dim, double > | hessian (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, double > > &values) const |
| virtual void | hessian_list (const std::vector< Point< dim > > &points, std::vector< SymmetricTensor< 2, dim, double > > &values, const unsigned int component=0) const |
| virtual void | vector_hessian_list (const std::vector< Point< dim > > &points, std::vector< std::vector< SymmetricTensor< 2, dim, double > > > &values) const |
| std::size_t | memory_consumption () const |
| Public Member Functions inherited from FunctionTime< Number > | |
| FunctionTime (const Number initial_time=Number(0.0)) | |
| virtual | ~FunctionTime ()=default |
| Number | get_time () const |
| virtual void | set_time (const Number new_time) |
| virtual void | advance_time (const Number delta_t) |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) noexcept | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) noexcept |
| void | subscribe (const char *identifier=nullptr) const |
| void | unsubscribe (const char *identifier=nullptr) const |
| unsigned int | n_subscriptions () const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Private Attributes | |
| const Tensor< 1, dim > | exponents |
Additional Inherited Members | |
| Static Public Member Functions inherited from Subscriptor | |
| static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
| Public Attributes inherited from Function< dim > | |
| const unsigned int | n_components |
| Static Public Attributes inherited from Function< dim > | |
| static const unsigned int | dimension |
A class that represents a function object for a monomial. Monomials are polynomials with only a single term, i.e. in 1-d they have the form \(x^\alpha\), in 2-d the form \(x_1^{\alpha_1}x_2^{\alpha_2}\), and in 3-d \(x_1^{\alpha_1}x_2^{\alpha_2}x_3^{\alpha_3}\). Monomials are therefore described by a \(dim\)-tuple of exponents. Consequently, the class's constructor takes a Tensor<1,dim> to describe the set of exponents. Most of the time these exponents will of course be integers, but real exponents are of course equally valid. Exponents can't be real when the bases are negative numbers.
Definition at line 1043 of file function_lib.h.
| Functions::Monomial< dim >::Monomial | ( | const Tensor< 1, dim > & | exponents, |
| const unsigned int | n_components = 1 |
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| ) |
Constructor. The first argument is explained in the general description of the class. The second argument denotes the number of vector components this object shall represent. All vector components will have the same value.
Definition at line 2080 of file function_lib.cc.
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virtual |
Function value at one point.
Reimplemented from Function< dim >.
Definition at line 2091 of file function_lib.cc.
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virtual |
Return all components of a vector-valued function at a given point.
values shall have the right size beforehand, i.e. n_components.
Reimplemented from Function< dim >.
Definition at line 2114 of file function_lib.cc.
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virtual |
Function values at multiple points.
Reimplemented from Function< dim >.
Definition at line 2168 of file function_lib.cc.
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virtual |
Function gradient at one point.
Reimplemented from Function< dim >.
Definition at line 2128 of file function_lib.cc.
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private |
The set of exponents.
Definition at line 1087 of file function_lib.h.
1.8.14