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

Inheritance diagram for Functions::LSingularityFunction:

Public Member Functions
virtual double	value (const Point< 2 > &p, const unsigned int component=0) const override

virtual void	value_list (const std::vector< Point< 2 >> &points, std::vector< double > &values, const unsigned int component=0) const override

virtual void	vector_value_list (const std::vector< Point< 2 >> &points, std::vector< Vector< double >> &values) const override

virtual Tensor< 1, 2 >	gradient (const Point< 2 > &p, const unsigned int component=0) const override

virtual void	gradient_list (const std::vector< Point< 2 >> &points, std::vector< Tensor< 1, 2 >> &gradients, const unsigned int component=0) const override

virtual void	vector_gradient_list (const std::vector< Point< 2 >> &, std::vector< std::vector< Tensor< 1, 2 >>> &) const override

virtual double	laplacian (const Point< 2 > &p, const unsigned int component=0) const override

virtual void	laplacian_list (const std::vector< Point< 2 >> &points, std::vector< double > &values, const unsigned int component=0) const override

Public Member Functions inherited from Function< 2 >
	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 double	value (const Point< dim > &p, const unsigned int component=0) const

virtual void	vector_value (const Point< dim > &p, Vector< double > &values) 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 void	vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const

virtual Tensor< 1, dim, double >	gradient (const Point< dim > &p, const unsigned int component=0) 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< 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< 2 >
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< 2 >
const unsigned int	n_components

Static Public Attributes inherited from Function< 2 >
static const unsigned int	dimension

Detailed Description

Harmonic singularity on the L-shaped domain in 2D.

The function is given in polar coordinates by \(r^{\frac{2}{3}} \sin(\frac{2}{3} \phi)\) with a singularity at the origin and should be used with GridGenerator::hyper_L().

Author: Guido Kanschat

Date: 1999

Definition at line 400 of file function_lib.h.

Member Function Documentation

◆ value()

double Functions::LSingularityFunction::value	(	const Point< 2 > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Definition at line 1173 of file function_lib.cc.

◆ value_list()

void Functions::LSingularityFunction::value_list	(	const std::vector< Point< 2 >> &	points,
		std::vector< double > &	values,
		const unsigned int	component = `0`
	)		const

overridevirtual

Definition at line 1189 of file function_lib.cc.

◆ vector_value_list()

void Functions::LSingularityFunction::vector_value_list	(	const std::vector< Point< 2 >> &	points,
		std::vector< Vector< double >> &	values
	)		const

overridevirtual

Definition at line 1215 of file function_lib.cc.

◆ gradient()

Tensor< 1, 2 > Functions::LSingularityFunction::gradient	(	const Point< 2 > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Definition at line 1263 of file function_lib.cc.

◆ gradient_list()

void Functions::LSingularityFunction::gradient_list	(	const std::vector< Point< 2 >> &	points,
		std::vector< Tensor< 1, 2 >> &	gradients,
		const unsigned int	component = `0`
	)		const

overridevirtual

Definition at line 1282 of file function_lib.cc.

◆ vector_gradient_list()

void Functions::LSingularityFunction::vector_gradient_list	(	const std::vector< Point< 2 >> &	points,
		std::vector< std::vector< Tensor< 1, 2 >>> &	gradients
	)		const

overridevirtual

Definition at line 1308 of file function_lib.cc.

◆ laplacian()

double Functions::LSingularityFunction::laplacian	(	const Point< 2 > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Definition at line 1243 of file function_lib.cc.

◆ laplacian_list()

void Functions::LSingularityFunction::laplacian_list	(	const std::vector< Point< 2 >> &	points,
		std::vector< double > &	values,
		const unsigned int	component = `0`
	)		const

overridevirtual

Definition at line 1250 of file function_lib.cc.

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

include/deal.II/base/function_lib.h
source/base/function_lib.cc

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ value()

◆ value_list()

◆ vector_value_list()

◆ gradient()

◆ gradient_list()

◆ vector_gradient_list()

◆ laplacian()

◆ laplacian_list()