Part of the multidimensional expansion bases for the shape functions of Karniadakis and Sherwin. More...

#include <quad.hh>

Inheritance diagram for hp2D::KarniadakisDeriv2:

Public Member Functions
	KarniadakisDeriv2 (const int P, const Real *xP, const int NxP, const bool cache=true)
	Constructor. More...

uint	n () const
	Returns the number of shape functions. More...

uint	nP () const
	Returns the number of abscissas (in which the shape functions are evaluated) More...

const Real *	values () const
	Returns the values of the shape functions. More...

	~KarniadakisDeriv2 ()
	Copy constructor. More...

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

Protected Attributes
Real *	values_
	Values of the shape functions. More...

Private Attributes
uint	n_
	Number of shape functions. More...

uint	nP_
	Number of points in which the shape functions are evaluated. More...

concepts::Karniadakis< 1, 1 > *	tmp_
	temporal storage of all derivates of $\psi^a_i(x)$ More...

Detailed Description

Part of the multidimensional expansion bases for the shape functions of Karniadakis and Sherwin.

Computes the derivate of $\psi^a_i(x)$ . In difference to Karniadakis<1,1> the first function is left out, so that the shape functions are linearly independent.

The first functions are: $\psi_0 = \frac{1}{2}$ , $\psi_1 = -x\frac{1}{2}$ , $\psi_1 = (-3x^2+1)\frac{1}{2}$ , $\psi_2 = \frac{3}{4}x(5x^2-3)$ /

Definition at line 517 of file quad.hh.

Constructor & Destructor Documentation

◆ KarniadakisDeriv2()

hp2D::KarniadakisDeriv2::KarniadakisDeriv2	(	const int	P,
		const Real *	xP,
		const int	NxP,
		const bool	cache = `true`
	)

Constructor.

Computes the values of the shape functions of the given order and in the given points.

Parameters

P	Order of the principal function
xP	Points
NxP	Number of points

◆ ~KarniadakisDeriv2()

hp2D::KarniadakisDeriv2::~KarniadakisDeriv2 ( )

Copy constructor.

Member Function Documentation

◆ info()

virtual std::ostream& hp2D::KarniadakisDeriv2::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Implements concepts::ShapeFunction1D< Real >.

◆ n()

uint concepts::ShapeFunction1D< Real >::n ( ) const

inlineinherited

Returns the number of shape functions.

Definition at line 35 of file shapefunction.hh.

◆ nP()

uint concepts::ShapeFunction1D< Real >::nP ( ) const

inlineinherited

Returns the number of abscissas (in which the shape functions are evaluated)

Definition at line 38 of file shapefunction.hh.

◆ values()

const Real * concepts::ShapeFunction1D< Real >::values ( ) const

inlineinherited

Returns the values of the shape functions.

Definition at line 40 of file shapefunction.hh.

Member Data Documentation

◆ n_

uint concepts::ShapeFunction1D< Real >::n_

privateinherited

Number of shape functions.

Definition at line 48 of file shapefunction.hh.

◆ nP_

uint concepts::ShapeFunction1D< Real >::nP_

privateinherited

Number of points in which the shape functions are evaluated.

Definition at line 51 of file shapefunction.hh.

◆ tmp_

concepts::Karniadakis<1,1>* hp2D::KarniadakisDeriv2::tmp_

private

temporal storage of all derivates of $\psi^a_i(x)$

Definition at line 538 of file quad.hh.

◆ values_

Real * concepts::ShapeFunction1D< Real >::values_

protectedinherited

Values of the shape functions.

Definition at line 45 of file shapefunction.hh.

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

hp2D/quad.hh

hp2D::KarniadakisDeriv2 Class Reference

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ KarniadakisDeriv2()

◆ ~KarniadakisDeriv2()

Member Function Documentation

◆ info()

◆ n()

◆ nP()

◆ values()

Member Data Documentation

◆ n_

◆ nP_

◆ tmp_

◆ values_