#include <function_lib.h>

Inheritance diagram for Functions::CosineFunction< dim >:

Public Member Functions
	CosineFunction (const unsigned int n_components=1)

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 void	vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const

virtual Tensor< 1, dim >	gradient (const Point< dim > &p, const unsigned int component=0) const

virtual void	gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim > > &gradients, const unsigned int component=0) const

virtual double	laplacian (const Point< dim > &p, const unsigned int component=0) const

virtual void	laplacian_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const

virtual Tensor< 2, dim >	hessian (const Point< dim > &p, const unsigned int component=0) const

virtual void	hessian_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 2, dim > > &hessians, 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_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 > > &gradients) const

virtual void	vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim > > > &gradients) const

virtual void	vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim > > > &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

std::size_t	memory_consumption () const

Public Member Functions inherited from FunctionTime
	FunctionTime (const double initial_time=0.0)

virtual	~FunctionTime ()

double	get_time () const

virtual void	set_time (const double new_time)

virtual void	advance_time (const double delta_t)

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

void	subscribe (const char *identifier=0) const

void	unsubscribe (const char *identifier=0) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

	DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects.\n"<< "(Additional information: "<< arg3<< ")\n"<< "Note the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "more information on what this error means.")

	DeclException2 (ExcNoSubscriber, char , char ,<< "No subscriber with identifier \""<< arg2<< "\" did subscribe to this object of class "<< arg1)

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Additional Inherited Members
Public Attributes inherited from Function< dim >
const unsigned int	n_components

Static Public Attributes inherited from Function< dim >
static const unsigned int	dimension = dim

Detailed Description

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

Cosine-shaped pillow function. This is another function with zero boundary values on $[-1,1]^d$ . In the interior it is the product of $\cos(\pi/2 x_i)$ .

Author: Guido Kanschat, 1999

Definition at line 204 of file function_lib.h.

Constructor & Destructor Documentation

template<int dim>

Functions::CosineFunction< dim >::CosineFunction ( const unsigned int n_components = 1 )

Constructor which allows to optionally generate a vector valued cosine function with the same value in each component.

Member Function Documentation

template<int dim>

virtual double Functions::CosineFunction< dim >::value	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

virtual

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 >.

template<int dim>

virtual void Functions::CosineFunction< dim >::value_list	(	const std::vector< Point< dim > > &	points,
		std::vector< double > &	values,
		const unsigned int	component = `0`
	)		const

virtual

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.

Be default, this function repeatedly calls value() for each point separately, to fill the output array.

Reimplemented from Function< dim >.

template<int dim>

virtual void Functions::CosineFunction< dim >::vector_value_list	(	const std::vector< Point< dim > > &	points,
		std::vector< Vector< double > > &	values
	)		const

virtual

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.

Be default, this function repeatedly calls vector_value() for each point separately, to fill the output array.

Reimplemented from Function< dim >.

template<int dim>

virtual Tensor<1,dim> Functions::CosineFunction< dim >::gradient	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

virtual

Return the gradient of the specified component of the function at the given point.

Reimplemented from Function< dim >.

template<int dim>

virtual void Functions::CosineFunction< dim >::gradient_list	(	const std::vector< Point< dim > > &	points,
		std::vector< Tensor< 1, dim > > &	gradients,
		const unsigned int	component = `0`
	)		const

virtual

Set gradients to the gradients of the specified component of the function at the points. It is assumed that gradients already has the right size, i.e. the same size as the points array.

Reimplemented from Function< dim >.

template<int dim>

virtual double Functions::CosineFunction< dim >::laplacian	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

virtual

Compute the Laplacian of a given component at point p.

Reimplemented from Function< dim >.

template<int dim>

virtual void Functions::CosineFunction< dim >::laplacian_list	(	const std::vector< Point< dim > > &	points,
		std::vector< double > &	values,
		const unsigned int	component = `0`
	)		const

virtual

Compute the Laplacian of one component at a set of points.

Reimplemented from Function< dim >.

template<int dim>

virtual Tensor<2,dim> Functions::CosineFunction< dim >::hessian	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

virtual

Second derivatives at a single point.

template<int dim>

virtual void Functions::CosineFunction< dim >::hessian_list	(	const std::vector< Point< dim > > &	points,
		std::vector< Tensor< 2, dim > > &	hessians,
		const unsigned int	component = `0`
	)		const

virtual

Second derivatives at multiple points.

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

include/deal.II/base/function_lib.h

Public Member Functions

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

Member Function Documentation

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