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

#include <quad.hh>

Inheritance diagram for hp2Dedge::KarniadakisDeriv2:

Collaboration diagram for hp2Dedge::KarniadakisDeriv2:

Public Member Functions
	KarniadakisDeriv2 (const int P, const Real *xP, const int NxP, const bool cache=true)
	Constructor.
	KarniadakisDeriv2 (const KarniadakisDeriv2 &arg)
	Copy constructor.
uint	n () const
	Returns the number of shape functions.
uint	nP () const
	Returns the number of abscissas (in which the shape functions are evaluated)
const Real *	values () const
	Returns the values of the shape functions.
	~KarniadakisDeriv2 ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
Real *	values_
	Values of the shape functions.
Private Attributes
concepts::Karniadakis< 1, 1 > *	tmp_
	temporal storage of all derivates of $\psi^a_i(x)$

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 linear 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 29 of file quad.hh.

Constructor & Destructor Documentation

hp2Dedge::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

hp2Dedge::KarniadakisDeriv2::KarniadakisDeriv2 ( const KarniadakisDeriv2 & arg )

Copy constructor.

hp2Dedge::KarniadakisDeriv2::~KarniadakisDeriv2 ( )

Member Function Documentation

virtual std::ostream& hp2Dedge::KarniadakisDeriv2::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Implements concepts::ShapeFunction1D< Real >.

uint concepts::ShapeFunction1D< Real >::n ( ) const [inline, inherited]

Returns the number of shape functions.

Definition at line 33 of file shapefunction.hh.

uint concepts::ShapeFunction1D< Real >::nP ( ) const [inline, inherited]

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

Definition at line 36 of file shapefunction.hh.

const Real * concepts::ShapeFunction1D< Real >::values ( ) const [inline, inherited]

Returns the values of the shape functions.

Definition at line 38 of file shapefunction.hh.

Member Data Documentation

concepts::Karniadakis<1,1>* hp2Dedge::KarniadakisDeriv2::tmp_ [private]

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

Definition at line 49 of file quad.hh.

Real * concepts::ShapeFunction1D< Real >::values_ [protected, inherited]

Values of the shape functions.

Definition at line 43 of file shapefunction.hh.

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

hp2Dedge/quad.hh

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation