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Reference documentation for deal.II version 9.1.1
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#include <deal.II/base/function_lib.h>
Public Member Functions | |
PillowFunction (const double offset=0.) | |
virtual double | value (const Point< dim > &p, const unsigned int component=0) const override |
virtual void | value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const override |
virtual Tensor< 1, dim > | gradient (const Point< dim > &p, const unsigned int component=0) const override |
virtual void | gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim >> &gradients, const unsigned int component=0) const override |
virtual double | laplacian (const Point< dim > &p, const unsigned int component=0) const override |
virtual void | laplacian_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const override |
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Function (const unsigned int n_components=1, const time_type initial_time=0.0) | |
virtual | ~Function () override=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 void | vector_laplacian (const Point< dim > &p, Vector< double > &values) 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 |
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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) |
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Subscriptor () | |
Subscriptor (const Subscriptor &) | |
Subscriptor (Subscriptor &&) noexcept | |
virtual | ~Subscriptor () |
Subscriptor & | operator= (const Subscriptor &) |
Subscriptor & | operator= (Subscriptor &&) noexcept |
void | subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
unsigned int | n_subscriptions () const |
template<typename StreamType > | |
void | list_subscribers (StreamType &stream) const |
void | list_subscribers () const |
template<class Archive > | |
void | serialize (Archive &ar, const unsigned int version) |
Additional Inherited Members | |
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using | time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type |
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using | time_type = Number |
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static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
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const unsigned int | n_components |
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static const unsigned int | dimension |
d-quadratic pillow on the unit hypercube.
This is a function for testing the implementation. It has zero Dirichlet boundary values on the domain \((-1,1)^d\). In the inside, it is the product of \(1-x_i^2\) over all space dimensions.
Providing a non-zero argument to the constructor, the whole function can be offset by a constant.
Together with the function, its derivatives and Laplacian are defined.
Definition at line 155 of file function_lib.h.
Functions::PillowFunction< dim >::PillowFunction | ( | const double | offset = 0. | ) |
Constructor. Provide a constant that will be added to each function value.
Definition at line 254 of file function_lib.cc.
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overridevirtual |
The value at a single point.
Reimplemented from Function< dim >.
Definition at line 261 of file function_lib.cc.
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overridevirtual |
Values at multiple points.
Reimplemented from Function< dim >.
Definition at line 280 of file function_lib.cc.
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overridevirtual |
Gradient at a single point.
Reimplemented from Function< dim >.
Definition at line 364 of file function_lib.cc.
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overridevirtual |
Gradients at multiple points.
Definition at line 389 of file function_lib.cc.
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overridevirtual |
Laplacian at a single point.
Reimplemented from Function< dim >.
Definition at line 313 of file function_lib.cc.
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overridevirtual |
Laplacian at multiple points.
Reimplemented from Function< dim >.
Definition at line 333 of file function_lib.cc.