oomph::Gauss< 2, 3 > Class Reference

#include <integral.h>

Inheritance diagram for oomph::Gauss< 2, 3 >:

Public Member Functions
	Gauss ()
	Default constructor (empty) More...
	Gauss (const Gauss &dummy)=delete
	Broken copy constructor. More...
void	operator= (const Gauss &)=delete
	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)=delete
	Broken copy constructor. More...
void	operator= (const Integral &)=delete
	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. Broken virtual. More...

Static Private Attributes
static const unsigned	Npts = 9
	Number of integration points in the scheme. More...
static const double	Knot [9][2]
	Array to hold the weights and knots (defined in cc file) More...
static const double	Weight [9]

Detailed Description

2D Gaussian integration class. 3x3 integration points. This integration scheme can integrate up to fifth-order polynomials exactly and is therefore a suitable "full" integration scheme for quadratic (nine-node) elements in which the highest-order polynomial is fourth order.

Constructor & Destructor Documentation

Gauss() [1/2]

oomph::Gauss< 2, 3 >::Gauss ( )

inline

Default constructor (empty)

{};

Gauss() [2/2]

oomph::Gauss< 2, 3 >::Gauss ( const Gauss< 2, 3 > &  dummy )

delete

Broken copy constructor.

Member Function Documentation

knot()

double oomph::Gauss< 2, 3 >::knot ( const unsigned &  i, const unsigned &  j  ) const

inlinevirtual

Return coordinate s[j] of integration point i.

Implements oomph::Integral.

    {
      return Knot[i][j];
    }

References i, and j.

nweight()

unsigned oomph::Gauss< 2, 3 >::nweight ( ) const

inlinevirtual

Number of integration points of the scheme.

Implements oomph::Integral.

    {
      return Npts;
    }

operator=()

void oomph::Gauss< 2, 3 >::operator= ( const Gauss< 2, 3 > &  )

delete

Broken assignment operator.

weight()

double oomph::Gauss< 2, 3 >::weight ( const unsigned &  i ) const

inlinevirtual

Return weight of integration point i.

Implements oomph::Integral.

    {
      return Weight[i];
    }

References i, and ProblemParameters::Weight.

Member Data Documentation

Knot

const double oomph::Gauss< 2, 3 >::Knot

staticprivate

Initial value:

= {
    {-0.774596669241483, -0.774596669241483},
    {-0.774596669241483, 0.0},
    {-0.774596669241483, 0.774596662941483},
    {0.0, -0.774596669241483},
    {0.0, 0.0},
    {0.0, 0.774596662941483},
    {0.774596662941483, -0.774596669241483},
    {0.774596662941483, 0.0},
    {0.774596662941483, 0.774596662941483}}

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

Npts

const unsigned oomph::Gauss< 2, 3 >::Npts = 9

staticprivate

Number of integration points in the scheme.

Weight

const double oomph::Gauss< 2, 3 >::Weight

staticprivate

Initial value:

= {(25.0 / 81.0),
                                         (40.0 / 81.0),
                                         (25.0 / 81.0),
                                         (40.0 / 81.0),
                                         (64.0 / 81.0),
                                         (40.0 / 81.0),
                                         (25.0 / 81.0),
                                         (40.0 / 81.0),
                                         (25.0 / 81.0)}

---

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

• integral.h
• integral.cc