Functions::PillowFunction< dim > Class Template Reference
[Functions]

Inheritance diagram for Functions::PillowFunction< dim >:
Inheritance graph
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List of all members.

Public Member Functions

 PillowFunction (const double offset=0.)
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 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

Private Attributes

const double offset

Detailed Description

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

d-quadratic pillow on the unit hypercube.

This is a function for testing the implementation. It has zero Dirichlet boundary values on the domain $(-1,1)^d$. In the inside, it is the product of $x_i^2-1$.

Providing a non-zero argument to the constructor, the whole function can be offset by a constant.

Together with the function, its derivatives and Laplacian are defined.

Author:
: Guido Kanschat, 1999

Constructor & Destructor Documentation

template<int dim>
Functions::PillowFunction< dim >::PillowFunction ( const double  offset = 0.  ) 

Constructor. Provide a constant that will be added to each function value.


Member Function Documentation

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

The value at a single point.

Reimplemented from Function< dim >.

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

Values at multiple points.

Reimplemented from Function< dim >.

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

Gradient at a single point.

Reimplemented from Function< dim >.

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

Gradients at multiple points.

Reimplemented from Function< dim >.

template<int dim>
virtual double Functions::PillowFunction< dim >::laplacian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const [virtual]

Laplacian at a single point.

Reimplemented from Function< dim >.

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

Laplacian at multiple points.

Reimplemented from Function< dim >.


Member Data Documentation

template<int dim>
const double Functions::PillowFunction< dim >::offset [private]

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

deal.II documentation generated on Mon Nov 23 22:58:19 2009 by doxygen 1.6.1