Reference documentation for deal.II version 9.1.1
\(\newcommand{\dealcoloneq}{\mathrel{\vcenter{:}}=}\)
Public Member Functions | List of all members
Functions::CosineGradFunction< dim > Class Template Reference

#include <deal.II/base/function_lib.h>

Inheritance diagram for Functions::CosineGradFunction< dim >:
[legend]

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 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)
 
virtual ~Function () override=0
 
Functionoperator= (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< 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 ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (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< Number >
using time_type = Number
 
- Static Public Member Functions inherited from Subscriptor
static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (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
 

Detailed Description

template<int dim>
class Functions::CosineGradFunction< dim >

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.

Author
Guido Kanschat, 2010

Definition at line 292 of file function_lib.h.

Constructor & Destructor Documentation

◆ CosineGradFunction()

template<int dim>
Functions::CosineGradFunction< dim >::CosineGradFunction ( )

Constructor, creating a function with dim components.

Definition at line 715 of file function_lib.cc.

Member Function Documentation

◆ value()

template<int dim>
double Functions::CosineGradFunction< dim >::value ( const Point< dim > &  p,
const unsigned int  component 
) const
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.

◆ vector_value()

template<int dim>
void Functions::CosineGradFunction< dim >::vector_value ( const Point< dim > &  p,
Vector< double > &  values 
) const
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.

◆ value_list()

template<int dim>
void Functions::CosineGradFunction< dim >::value_list ( const std::vector< Point< dim >> &  points,
std::vector< double > &  values,
const unsigned int  component 
) const
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.

◆ vector_value_list()

template<int dim>
void Functions::CosineGradFunction< dim >::vector_value_list ( const std::vector< Point< dim >> &  points,
std::vector< Vector< double >> &  values 
) const
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.

◆ gradient()

template<int dim>
Tensor< 1, dim > Functions::CosineGradFunction< dim >::gradient ( const Point< dim > &  p,
const unsigned int  component 
) const
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.

◆ laplacian()

template<int dim>
double Functions::CosineGradFunction< dim >::laplacian ( const Point< dim > &  p,
const unsigned int  component 
) const
overridevirtual

Compute the Laplacian of a given component at point p.

Reimplemented from Function< dim >.

Definition at line 859 of file function_lib.cc.


The documentation for this class was generated from the following files: