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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 | |
| Polynomial (const Table< 2, double > &exponents, const std::vector< double > &coefficients) | |
| virtual double | value (const Point< dim > &p, const unsigned int component=0) 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 (const Point< dim > &p, Vector< double > &values) const |
| 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 Table< 2, double > | exponents |
| const std::vector< double > | coefficients |
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 polynomial. A polynomial is composed by the summation of multiple monomials. If the polynomial has n monomials and the dimension is equal to dim, the polynomial can be written as \(\sum_{i=1}^{n} a_{i}(\prod_{d=1}^{dim} x_{d}^{\alpha_{i,d}})\), where \(a_{i}\) are the coefficients of the monomials and \(\alpha_{i,d}\) are their exponents. The class's constructor takes a Table<2,double> to describe the set of exponents and a Vector<double> to describe the set of coefficients.
Definition at line 1296 of file function_lib.h.
| Functions::Polynomial< dim >::Polynomial | ( | const Table< 2, double > & | exponents, |
| const std::vector< double > & | coefficients | ||
| ) |
Constructor. The coefficients and the exponents of the polynomial are passed as arguments. The Table<2, double> exponents has a number of rows equal to the number of monomials of the polynomial and a number of columns equal to dim. The i-th row of the exponents table contains the \({\alpha_{i,d}}\) exponents of the i-th monomial \(a_{i}\prod_{d=1}^{dim} x_{d}^{\alpha_{i,d}}\). The i-th element of the coefficients vector contains the coefficient \(a_{i}\) for the i-th monomial.
Definition at line 2598 of file function_lib.cc.
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virtual |
Function value at one point.
Reimplemented from Function< dim >.
Definition at line 2615 of file function_lib.cc.
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Function values at multiple points.
Reimplemented from Function< dim >.
Definition at line 2642 of file function_lib.cc.
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Function gradient at one point.
Reimplemented from Function< dim >.
Definition at line 2657 of file function_lib.cc.
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private |
The set of exponents.
Definition at line 1336 of file function_lib.h.
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The set of coefficients.
Definition at line 1341 of file function_lib.h.
1.8.14