Reference documentation for deal.II version 8.5.1
List of all members
QTrapez< dim > Class Template Reference

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

Inheritance diagram for QTrapez< dim >:
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Additional Inherited Members

- Public Types inherited from Quadrature< dim >
typedef Quadrature< dim-1 > SubQuadrature
 
- 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 (Quadrature< dim > &&)=default
 
 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 &)
 
 Subscriptor (Subscriptor &&)
 
virtual ~Subscriptor ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (Subscriptor &&)
 
void subscribe (const char *identifier=0) const
 
void unsubscribe (const char *identifier=0) const
 
unsigned int n_subscriptions () const
 
void list_subscribers () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
- Static Public Member Functions inherited from Subscriptor
static ::ExceptionBaseExcInUse (int arg1, char *arg2, std::string &arg3)
 
static ::ExceptionBaseExcNoSubscriber (char *arg1, char *arg2)
 
- Protected Attributes inherited from Quadrature< dim >
std::vector< Point< dim > > quadrature_points
 
std::vector< double > weights
 

Detailed Description

template<int dim>
class QTrapez< dim >

The trapezoidal rule for numerical quadrature. This formula with two quadrature points is exact for linear polynomials.

The class is poorly named since the proper name of the quadrature formula is "trapezoidal rule", or sometimes also called the "trapezoid rule". The misnomer results from the fact that its original authors' poor English language skills led them to translate the name incorrectly from the German "Trapezregel".

Author
Wolfgang Bangerth, 1998

Definition at line 167 of file quadrature_lib.h.


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