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

Inheritance diagram for Functions::FourierSineSum< dim >:

Public Member Functions
	FourierSineSum (const std::vector< Point< dim > > &fourier_coefficients, const std::vector< double > &weights)

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

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

virtual double	laplacian (const Point< dim > &p, 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	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 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 ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (const char *identifier=nullptr) const

void	unsubscribe (const char *identifier=nullptr) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

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

Private Attributes
const std::vector< Point< dim > >	fourier_coefficients

Additional Inherited Members
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

Detailed Description

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

Given a sequence of wavenumber vectors and weights generate a sum of sine functions. Each wavenumber coefficient is given as a \(d\)-dimensional point \(k\) in Fourier space, and the entire function is then recovered as \(f(x) = \sum_j w_j sin(\sum_i k_i x_i) = Im(\sum_j w_j \exp(i k.x))\).

Author: Wolfgang Bangerth, 2001

Definition at line 734 of file function_lib.h.

Constructor & Destructor Documentation

◆ FourierSineSum()

template<int dim>

Functions::FourierSineSum< dim >::FourierSineSum	(	const std::vector< Point< dim > > &	fourier_coefficients,
		const std::vector< double > &	weights
	)

Constructor. Take the Fourier coefficients in each space direction as argument.

Definition at line 1929 of file function_lib.cc.

Member Function Documentation

◆ value()

template<int dim>

double Functions::FourierSineSum< 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 >.

Definition at line 1946 of file function_lib.cc.

◆ gradient()

template<int dim>

Tensor< 1, dim > Functions::FourierSineSum< 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 >.

Definition at line 1964 of file function_lib.cc.

◆ laplacian()

template<int dim>

double Functions::FourierSineSum< 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 >.

Definition at line 1982 of file function_lib.cc.

Member Data Documentation

◆ fourier_coefficients

template<int dim>

const std::vector<Point<dim> > Functions::FourierSineSum< dim >::fourier_coefficients

private

Stored Fourier coefficients and weights.

Definition at line 769 of file function_lib.h.

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

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

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ FourierSineSum()

Member Function Documentation

◆ value()

◆ gradient()

◆ laplacian()

Member Data Documentation

◆ fourier_coefficients

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