Reference documentation for deal.II version SVN Revision 32792
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QGaussLog< dim > Class Template Reference

#include <quadrature_lib.h>

Inheritance diagram for QGaussLog< dim >:
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Public Member Functions

 QGaussLog (const unsigned int n, const bool revert=false)
 
template<>
 QGaussLog (const unsigned int n, const bool revert)
 
- Public Member Functions inherited from Quadrature< dim >
 Quadrature (const unsigned int n_quadrature_points=0)
 
 Quadrature (const SubQuadrature &, const Quadrature< 1 > &)
 
 Quadrature (const Quadrature< dim!=1?1:0 > &quadrature_1d)
 
 Quadrature (const Quadrature< dim > &q)
 
 Quadrature (const std::vector< Point< dim > > &points, const std::vector< double > &weights)
 
 Quadrature (const std::vector< Point< dim > > &points)
 
 Quadrature (const Point< dim > &point)
 
virtual ~Quadrature ()
 
Quadratureoperator= (const Quadrature< dim > &)
 
bool operator== (const Quadrature< dim > &p) const
 
void initialize (const std::vector< Point< dim > > &points, const std::vector< double > &weights)
 
unsigned int size () const
 
const Point< dim > & point (const unsigned int i) const
 
const std::vector< Point< dim > > & get_points () const
 
double weight (const unsigned int i) const
 
const std::vector< double > & get_weights () const
 
std::size_t memory_consumption () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
- 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)
 

Protected Member Functions

std::vector< doubleset_quadrature_points (const unsigned int n) const
 
std::vector< doubleset_quadrature_weights (const unsigned int n) const
 
template<>
std::vector< doubleset_quadrature_points (const unsigned int) const
 
template<>
std::vector< doubleset_quadrature_weights (const unsigned int) const
 

Additional Inherited Members

- Public Types inherited from Quadrature< dim >
typedef Quadrature< dim-1 > SubQuadrature
 
- Protected Attributes inherited from Quadrature< dim >
std::vector< Point< dim > > quadrature_points
 
std::vector< doubleweights
 

Detailed Description

template<int dim>
class QGaussLog< dim >

Gauss Quadrature Formula with logarithmic weighting function. This formula is used to to integrate ln|x|*f(x) on the interval [0,1], where f is a smooth function without singularities. The collection of quadrature points and weights has been obtained using Numerical Recipes.

Notice that only the function f(x) should be provided, i.e., $\int_0^1 f(x) ln|x| dx = \sum_{i=0}^N w_i f(q_i)$. Setting the revert flag to true at construction time switches the weight from ln|x| to ln|1-x|.

The weights and functions have been tabulated up to order 12.

Definition at line 219 of file quadrature_lib.h.

Constructor & Destructor Documentation

template<int dim>
QGaussLog< dim >::QGaussLog ( const unsigned int  n,
const bool  revert = false 
)

Generate a formula with n quadrature points

Member Function Documentation

template<int dim>
std::vector<double> QGaussLog< dim >::set_quadrature_points ( const unsigned int  n) const
protected

Sets the points of the quadrature formula.

template<int dim>
std::vector<double> QGaussLog< dim >::set_quadrature_weights ( const unsigned int  n) const
protected

Sets the weights of the quadrature formula.


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