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

Inheritance diagram for Functions::JumpFunction< dim >:

Inheritance graph
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List of all members.

Public Member Functions

 JumpFunction (const Point< dim > &direction, const double steepness)
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
unsigned int memory_consumption () const

Protected Attributes

const Point< dim > direction
const double steepness
double angle
double sine
double cosine


Detailed Description

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

A jump in x-direction transported into some direction.

If the advection is parallel to the y-axis, the function is -atan(sx), where s is the steepness parameter provided in the constructor.

For different advection directions, this function will be turned in the parameter space.

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

Author:
: Guido Kanschat, 2000

Constructor & Destructor Documentation

template<int dim>
Functions::JumpFunction< dim >::JumpFunction ( const Point< dim > &  direction,
const double  steepness 
)

Constructor. Provide the advection direction here and the steepness of the slope.


Member Function Documentation

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

Gradient at one point.

Reimplemented from Function< dim >.

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

Laplacian of the function at one point.

Reimplemented from Function< dim >.

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

Laplacian of the function at multiple points.

Reimplemented from Function< dim >.

template<int dim>
unsigned int Functions::JumpFunction< dim >::memory_consumption (  )  const

Determine an estimate for the memory consumption (in bytes) of this object. Since sometimes the size of objects can not be determined exactly (for example: what is the memory consumption of an STL std::map type with a certain number of elements?), this is only an estimate. however often quite close to the true value.

Reimplemented from Function< dim >.


Member Data Documentation

template<int dim>
const Point<dim> Functions::JumpFunction< dim >::direction [protected]

Advection vector.

template<int dim>
const double Functions::JumpFunction< dim >::steepness [protected]

Steepness (maximal derivative) of the slope.

template<int dim>
double Functions::JumpFunction< dim >::angle [protected]

Advection angle.

template<int dim>
double Functions::JumpFunction< dim >::sine [protected]

Sine of angle.

template<int dim>
double Functions::JumpFunction< dim >::cosine [protected]

Cosine of angle.


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

deal.II documentation generated on Sat Aug 15 16:52:33 2009 by doxygen 1.5.9