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

#include <integral.h>

Inheritance diagram for oomph::TGauss< 2, 4 >:

Public Member Functions
	TGauss ()
	Default constructor (empty) More...

	TGauss (const TGauss &dummy)=delete
	Broken copy constructor. More...

void	operator= (const TGauss &)=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 x[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 = 13
	Number of integration points in the scheme. More...

static const double	Knot [13][2]
	Array to hold the weights and knots (defined in cc file) More...

static const double	Weight [13]

Detailed Description

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

Definition at line 913 of file integral.h.

Constructor & Destructor Documentation

◆ TGauss() [1/2]

oomph::TGauss< 2, 4 >::TGauss ( )

inline

Default constructor (empty)

Definition at line 923 of file integral.h.

◆ TGauss() [2/2]

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

delete

Broken copy constructor.

Member Function Documentation

◆ knot()

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

inlinevirtual

Return coordinate x[j] of integration point i.

Implements oomph::Integral.

Definition at line 938 of file integral.h.

References i.

◆ nweight()

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

inlinevirtual

Number of integration points of the scheme.

Implements oomph::Integral.

Definition at line 932 of file integral.h.

◆ operator=()

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

delete

Broken assignment operator.

◆ weight()

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

inlinevirtual

Return weight of integration point i.

Implements oomph::Integral.

Definition at line 944 of file integral.h.

References i.

Member Data Documentation

◆ Knot

const double oomph::TGauss< 2, 4 >::Knot

staticprivate

Initial value:

= {{0.0651301029022, 0.0651301029022},
                                            {0.8697397941956, 0.0651301029022},
                                            {0.0651301029022, 0.8697397941956},
                                            {0.3128654960049, 0.0486903154253},
                                            {0.6384441885698, 0.3128654960049},
                                            {0.0486903154253, 0.6384441885698},
                                            {0.6384441885698, 0.0486903154253},
                                            {0.3128654960049, 0.6384441885698},
                                            {0.0486903154253, 0.3128654960049},
                                            {0.2603459660790, 0.2603459660790},
                                            {0.4793080678419, 0.2603459660790},
                                            {0.2603459660790, 0.4793080678419},
                                            {0.3333333333333, 0.3333333333333}}

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

Definition at line 919 of file integral.h.

◆ Npts

const unsigned oomph::TGauss< 2, 4 >::Npts = 13

staticprivate

Number of integration points in the scheme.

Definition at line 917 of file integral.h.

◆ Weight

const double oomph::TGauss< 2, 4 >::Weight

staticprivate

Initial value:

= {0.5 * 0.0533472356088,
                                           0.5 * 0.0533472356088,
                                           0.5 * 0.0533472356088,
                                           0.5 * 0.0771137608903,
                                           0.5 * 0.0771137608903,
                                           0.5 * 0.0771137608903,
                                           0.5 * 0.0771137608903,
                                           0.5 * 0.0771137608903,
                                           0.5 * 0.0771137608903,
                                           0.5 * 0.1756152574332,
                                           0.5 * 0.1756152574332,
                                           0.5 * 0.1756152574332,
                                           0.5 * -0.1495700444677}

Definition at line 919 of file integral.h.

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

Public Member Functions

Static Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ TGauss() [1/2]

◆ TGauss() [2/2]

Member Function Documentation

◆ knot()

◆ nweight()

◆ operator=()

◆ weight()

Member Data Documentation

◆ Knot

◆ Npts

◆ Weight