Reference documentation for deal.II version 9.2.0
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Public Member Functions | Private Attributes | List of all members
Functions::FourierSineSum< dim > Class Template Reference
Functions

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

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

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

Private Attributes

const std::vector< Point< dim > > fourier_coefficients
 
const std::vector< double > weights
 

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
 

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 813 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 2022 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
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 2038 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
overridevirtual

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

Reimplemented from Function< dim >.

Definition at line 2056 of file function_lib.cc.

◆ laplacian()

template<int dim>
double Functions::FourierSineSum< dim >::laplacian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtual

Compute the Laplacian of a given component at point p.

Reimplemented from Function< dim >.

Definition at line 2074 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 851 of file function_lib.h.

◆ weights

template<int dim>
const std::vector<double> Functions::FourierSineSum< dim >::weights
private

Definition at line 852 of file function_lib.h.

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