Reference documentation for deal.II version 9.2.0
|
#include <deal.II/base/function_lib.h>
Public Member Functions | |
CosineGradFunction () | |
virtual double | value (const Point< dim > &p, const unsigned int component) const override |
virtual void | vector_value (const Point< dim > &p, Vector< double > &values) const override |
virtual void | value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component) const override |
virtual void | vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const override |
virtual Tensor< 1, dim > | gradient (const Point< dim > &p, const unsigned int component) const override |
virtual void | gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim >> &gradients, const unsigned int component) const override |
virtual void | vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim >>> &gradients) const override |
virtual double | laplacian (const Point< dim > &p, const unsigned int component) const override |
Public Member Functions inherited from Function< dim > | |
Function (const unsigned int n_components=1, const time_type initial_time=0.0) | |
Function (const Function &f)=default | |
virtual | ~Function () override=0 |
Function & | operator= (const Function &f) |
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 | 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< numbers::NumberTraits< double >::real_type > | |
FunctionTime (const numbers::NumberTraits< double >::real_type initial_time=numbers::NumberTraits< double >::real_type(0.0)) | |
virtual | ~FunctionTime ()=default |
numbers::NumberTraits< double >::real_type | get_time () const |
virtual void | set_time (const numbers::NumberTraits< double >::real_type new_time) |
virtual void | advance_time (const numbers::NumberTraits< double >::real_type 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 (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 | |
Public Types inherited from Function< dim > | |
using | time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type |
Public Types inherited from FunctionTime< numbers::NumberTraits< double >::real_type > | |
using | time_type = numbers::NumberTraits< double >::real_type |
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 |
Gradient of the cosine-shaped pillow function.
This is a vector-valued function with dim
components, the gradient of CosineFunction. On the square [-1,1], it has tangential boundary conditions zero. Thus, it can be used to test implementations of Maxwell operators without bothering about boundary terms.
Definition at line 292 of file function_lib.h.
Functions::CosineGradFunction< dim >::CosineGradFunction |
Constructor, creating a function with dim
components.
Definition at line 715 of file function_lib.cc.
|
overridevirtual |
Return the value of the function at the given point. Unless there is only one component (i.e. the function is scalar), you should state the component you want to have evaluated; it defaults to zero, i.e. the first component.
Reimplemented from Function< dim >.
Definition at line 722 of file function_lib.cc.
|
overridevirtual |
Return all components of a vector-valued function at a given point.
values
shall have the right size beforehand, i.e. n_components.
The default implementation will call value() for each component.
Reimplemented from Function< dim >.
Definition at line 748 of file function_lib.cc.
|
overridevirtual |
Set values
to the point values of the specified component of the function at the points
. It is assumed that values
already has the right size, i.e. the same size as the points
array.
By default, this function repeatedly calls value() for each point separately, to fill the output array.
Reimplemented from Function< dim >.
Definition at line 782 of file function_lib.cc.
|
overridevirtual |
Set values
to the point values of the function at the points
. It is assumed that values
already has the right size, i.e. the same size as the points
array, and that all elements be vectors with the same number of components as this function has.
By default, this function repeatedly calls vector_value() for each point separately, to fill the output array.
Reimplemented from Function< dim >.
Definition at line 818 of file function_lib.cc.
|
overridevirtual |
Return the gradient of the specified component of the function at the given point.
Reimplemented from Function< dim >.
Definition at line 868 of file function_lib.cc.
|
overridevirtual |
Definition at line 908 of file function_lib.cc.
|
overridevirtual |
Definition at line 955 of file function_lib.cc.
|
overridevirtual |
Compute the Laplacian of a given component at point p
.
Reimplemented from Function< dim >.
Definition at line 859 of file function_lib.cc.