Reference documentation for deal.II version SVN Revision 32822
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Functions::Monomial< dim > Class Template Reference

#include <function_lib.h>

Inheritance diagram for Functions::Monomial< dim >:
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Public Member Functions

 Monomial (const Tensor< 1, dim > &exponents, const unsigned int n_components=1)
 
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 Tensor< 1, dim > gradient (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
 
Functionoperator= (const Function &f)
 
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 > > &gradients) const
 
virtual void gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim > > &gradients, const unsigned int component=0) 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 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
 
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 ()
 
Subscriptoroperator= (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)
 

Private Attributes

const Tensor< 1, dim > exponents
 

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::Monomial< dim >

A class that represents a function object for a monomial. Monomials are polynomials with only a single term, i.e. in 1-d they have the form $x^\alpha$, in 2-d the form $x_1^{\alpha_1}x_2^{\alpha_2}$, and in 3-d $x_1^{\alpha_1}x_2^{\alpha_2}x_3^{\alpha_3}$. Monomials are therefore described by a $dim$-tuple of exponents. Consequently, the class's constructor takes a Tensor<1,dim> to describe the set of exponents. Most of the time these exponents will of course be integers, but real exponents are of course equally valid.

Author
Wolfgang Bangerth, 2006

Definition at line 1128 of file function_lib.h.

Constructor & Destructor Documentation

template<int dim>
Functions::Monomial< dim >::Monomial ( const Tensor< 1, dim > &  exponents,
const unsigned int  n_components = 1 
)

Constructor. The first argument is explained in the general description of the class. The second argument denotes the number of vector components this object shall represent. All vector components will have the same value.

Member Function Documentation

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

Function value at one point.

Reimplemented from Function< dim >.

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

Return all components of a vector-valued function at a given point.

values shall have the right size beforehand, i.e. n_components.

Reimplemented from Function< dim >.

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

Function values at multiple points.

Reimplemented from Function< dim >.

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

Function gradient at one point.

Reimplemented from Function< dim >.

Member Data Documentation

template<int dim>
const Tensor<1,dim> Functions::Monomial< dim >::exponents
private

The set of exponents.

Definition at line 1178 of file function_lib.h.


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