Public Member Functions | Static Private Attributes | List of all members
oomph::Gauss< 3, 3 > Class Reference

#include <integral.h>

+ Inheritance diagram for oomph::Gauss< 3, 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 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 = 27
 Number of integration points in the scheme. More...
 
static const double Knot [27][3]
 Array to hold the weights and knots (defined in cc file) More...
 
static const double Weight [27]
 

Detailed Description

3D Gaussian integration class 3x3x3 integration points. This integration scheme can integrate up to fifth-order polynomials exactly and is therefore a suitable "full" integration scheme for quadratic (27-node) elements in which the highest-order polynomial is fourth order.

Constructor & Destructor Documentation

◆ Gauss() [1/2]

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

Default constructor (empty)

491 {};

◆ Gauss() [2/2]

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

Broken copy constructor.

Member Function Documentation

◆ knot()

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

Return coordinate x[j] of integration point i.

Implements oomph::Integral.

507  {
508  return Knot[i][j];
509  }
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
oomph::Gauss< 3, 3 >::Knot
static const double Knot[27][3]
Array to hold the weights and knots (defined in cc file)
Definition: integral.h:487
j
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References i, and j.

◆ nweight()

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

Number of integration points of the scheme.

Implements oomph::Integral.

501  {
502  return Npts;
503  }
oomph::Gauss< 3, 3 >::Npts
static const unsigned Npts
Number of integration points in the scheme.
Definition: integral.h:485

◆ operator=()

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

Broken assignment operator.

◆ weight()

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

Return weight of integration point i.

Implements oomph::Integral.

513  {
514  return Weight[i];
515  }
oomph::Gauss< 3, 3 >::Weight
static const double Weight[27]
Definition: integral.h:487

References i, and ProblemParameters::Weight.

Member Data Documentation

◆ Knot

const double oomph::Gauss< 3, 3 >::Knot
staticprivate
Initial value:
= {
{-0.77459666924148, -0.77459666924148, -0.77459666924148},
{-0.77459666924148, -0.77459666924148, 0},
{-0.77459666924148, -0.77459666924148, 0.77459666924148},
{-0.77459666924148, 0, -0.77459666924148},
{-0.77459666924148, 0, 0},
{-0.77459666924148, 0, 0.77459666924148},
{-0.77459666924148, 0.77459666924148, -0.77459666924148},
{-0.77459666924148, 0.77459666924148, 0},
{-0.77459666924148, 0.77459666924148, 0.77459666924148},
{0, -0.77459666924148, -0.77459666924148},
{0, -0.77459666924148, 0},
{0, -0.77459666924148, 0.77459666924148},
{0, 0, -0.77459666924148},
{0, 0, 0},
{0, 0, 0.77459666924148},
{0, 0.77459666924148, -0.77459666924148},
{0, 0.77459666924148, 0},
{0, 0.77459666924148, 0.77459666924148},
{0.77459666924148, -0.77459666924148, -0.77459666924148},
{0.77459666924148, -0.77459666924148, 0},
{0.77459666924148, -0.77459666924148, 0.77459666924148},
{0.77459666924148, 0, -0.77459666924148},
{0.77459666924148, 0, 0},
{0.77459666924148, 0, 0.77459666924148},
{0.77459666924148, 0.77459666924148, -0.77459666924148},
{0.77459666924148, 0.77459666924148, 0},
{0.77459666924148, 0.77459666924148, 0.77459666924148}}

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

◆ Npts

const unsigned oomph::Gauss< 3, 3 >::Npts = 27
staticprivate

Number of integration points in the scheme.

◆ Weight

const double oomph::Gauss< 3, 3 >::Weight
staticprivate
Initial value:
= {
0.17146776406035, 0.27434842249657, 0.17146776406035, 0.27434842249657,
0.43895747599451, 0.27434842249657, 0.17146776406035, 0.27434842249657,
0.17146776406035, 0.27434842249657, 0.43895747599451, 0.27434842249657,
0.43895747599451, 0.70233196159122, 0.43895747599451, 0.27434842249657,
0.43895747599451, 0.27434842249657, 0.17146776406035, 0.27434842249657,
0.17146776406035, 0.27434842249657, 0.43895747599451, 0.27434842249657,
0.17146776406035, 0.27434842249657, 0.17146776406035}
The documentation for this class was generated from the following files: