Public Member Functions | Static Private Attributes | List of all members
oomph::Gauss< 2, 4 > Class Template Reference

#include <integral.h>

+ Inheritance diagram for oomph::Gauss< 2, 4 >:

Public Member Functions

 Gauss ()
 Default constructor (empty) More...
 
 Gauss (const Gauss &dummy)
 Broken copy constructor. More...
 
void operator= (const Gauss &)
 Broken assignment operator. More...
 
unsigned nweight () const
 Number of integration points of the scheme. More...
 
double knot (const unsigned &i, const unsigned &j) const
 Return coordinate s[j] of integration point i. More...
 
double weight (const unsigned &i) const
 Return weight of integration point i. More...
 
- Public Member Functions inherited from oomph::Integral
 Integral ()
 Default constructor (empty) More...
 
 Integral (const Integral &dummy)
 Broken copy constructor. More...
 
void operator= (const Integral &)
 Broken assignment operator. More...
 
virtual ~Integral ()
 Virtual destructor (empty) More...
 
virtual Vector< double > knot (const unsigned &i) const
 Return local coordinates of i-th intergration point. More...
 

Static Private Attributes

static const unsigned Npts =16
 Number of integration points in the scheme. More...
 
static const double Knot [16][2]
 Array to hold the weights and knots (defined in cc file) More...
 
static const double Weight [16]
 

Detailed Description

template<>
class oomph::Gauss< 2, 4 >

2D Gaussian integration class. 4x4 integration points. This integration scheme can integrate up to seventh-order polynomials exactly and is therefore a suitable "full" integration scheme for cubic (sixteen-node) elements in which the highest-order polynomial is sixth order.

Definition at line 420 of file integral.h.

Constructor & Destructor Documentation

oomph::Gauss< 2, 4 >::Gauss ( )
inline

Default constructor (empty)

Definition at line 434 of file integral.h.

oomph::Gauss< 2, 4 >::Gauss ( const Gauss< 2, 4 > &  dummy)
inline

Broken copy constructor.

Definition at line 437 of file integral.h.

References oomph::BrokenCopy::broken_copy().

Member Function Documentation

double oomph::Gauss< 2, 4 >::knot ( const unsigned &  i,
const unsigned &  j 
) const
inlinevirtual

Return coordinate s[j] of integration point i.

Implements oomph::Integral.

Definition at line 452 of file integral.h.

References i.

unsigned oomph::Gauss< 2, 4 >::nweight ( ) const
inlinevirtual

Number of integration points of the scheme.

Implements oomph::Integral.

Definition at line 449 of file integral.h.

void oomph::Gauss< 2, 4 >::operator= ( const Gauss< 2, 4 > &  )
inline

Broken assignment operator.

Definition at line 443 of file integral.h.

References oomph::BrokenCopy::broken_assign().

double oomph::Gauss< 2, 4 >::weight ( const unsigned &  i) const
inlinevirtual

Return weight of integration point i.

Implements oomph::Integral.

Definition at line 456 of file integral.h.

References i.

Member Data Documentation

const double oomph::Gauss< 2, 4 >::Knot
staticprivate
Initial value:
= {
{-0.861136311594053,-0.861136311594053},
{-0.339981043584856,-0.861136311594053},
{ 0.339981043584856,-0.861136311594053},
{ 0.861136311594053,-0.861136311594053},
{-0.861136311594053,-0.339981043584856},
{-0.339981043584856,-0.339981043584856},
{ 0.339981043584856,-0.339981043584856},
{ 0.861136311594053,-0.339981043584856},
{-0.861136311594053, 0.339981043584856},
{-0.339981043584856, 0.339981043584856},
{ 0.339981043584856, 0.339981043584856},
{ 0.861136311594053, 0.339981043584856},
{-0.861136311594053, 0.861136311594053},
{-0.339981043584856, 0.861136311594053},
{ 0.339981043584856, 0.861136311594053},
{ 0.861136311594053, 0.861136311594053}}

Array to hold the weights and knots (defined in cc file)

Definition at line 427 of file integral.h.

const unsigned oomph::Gauss< 2, 4 >::Npts =16
staticprivate

Number of integration points in the scheme.

Definition at line 425 of file integral.h.

const double oomph::Gauss< 2, 4 >::Weight
staticprivate
Initial value:
=
{0.1210029932855979 , 0.2268518518518480 , 0.2268518518518480, 0.1210029932855979,
0.2268518518518480 , 0.4252933030106941 , 0.4252933030106941, 0.2268518518518480,
0.2268518518518480 , 0.4252933030106941 , 0.4252933030106941, 0.2268518518518480,
0.1210029932855979 , 0.2268518518518480 , 0.2268518518518480, 0.1210029932855979}

Definition at line 427 of file integral.h.


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