oomph::OneDimDiscontinuousGalerkinMixedOrderBasis Namespace Reference

One dimensional shape functions and derivatives. Empty – simply establishes the template parameters. More...

Functions
template<unsigned NNODE_1D>
void	shape (const double &s, double *Psi)
	Definition for 1D Lagrange shape functions. The value of all the shape functions at the local coordinate s are returned in the array Psi.
template<unsigned NNODE_1D>
void	dshape (const double &s, double *DPsi)
	Definition for derivatives of 1D Lagrange shape functions. The value of all the shape function derivatives at the local coordinate s are returned in the array DPsi.
template<unsigned NNODE_1D>
void	d2shape (const double &s, double *DPsi)
	Definition for second derivatives of 1D Lagrange shape functions. The value of all the shape function derivatives at the local coordinate s are returned in the array DPsi.
template<>
void	shape< 2 > (const double &s, double *Psi)
	1D shape functions specialised to linear order (2 Nodes)
template<>
void	dshape< 2 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to linear order (2 Nodes)
template<>
void	d2shape< 2 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes)
template<>
void	shape< 3 > (const double &s, double *Psi)
	1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	dshape< 3 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	d2shape< 3 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes)
template<>
void	shape< 4 > (const double &s, double *Psi)
	1D shape functions specialised to cubic order (4 Nodes)
template<>
void	dshape< 4 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to cubic order (4 Nodes)
template<>
void	d2shape< 4 > (const double &s, double *DPsi)
	Second derivatives of 1D shape functions specialised to cubic order (4 nodes)

Detailed Description

One dimensional shape functions and derivatives. Empty – simply establishes the template parameters.

Function Documentation

d2shape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape	(	const double &	s,
		double *	DPsi
	)

Definition for second derivatives of 1D Lagrange shape functions. The value of all the shape function derivatives at the local coordinate s are returned in the array DPsi.

Definition at line 1046 of file shape.h.

d2shape< 2 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape< 2 > ( const double &  s, double *  DPsi  )

inline

Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes)

Definition at line 1083 of file shape.h.

d2shape< 3 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape< 3 > ( const double &  s, double *  DPsi  )

inline

Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes)

Definition at line 1113 of file shape.h.

d2shape< 4 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape< 4 > ( const double &  s, double *  DPsi  )

inline

Second derivatives of 1D shape functions specialised to cubic order (4 nodes)

Definition at line 1144 of file shape.h.

dshape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape	(	const double &	s,
		double *	DPsi
	)

Definition for derivatives of 1D Lagrange shape functions. The value of all the shape function derivatives at the local coordinate s are returned in the array DPsi.

Definition at line 1026 of file shape.h.

dshape< 2 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape< 2 > ( const double &  s, double *  DPsi  )

inline

Derivatives of 1D shape functions specialised to linear order (2 Nodes)

Definition at line 1074 of file shape.h.

Referenced by oomph::QTaylorHoodMixedOrderSpaceTimeElement< DIM >::dpshape_eulerian().

dshape< 3 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape< 3 > ( const double &  s, double *  DPsi  )

inline

Derivatives of 1D shape functions specialised to quadratic order (3 Nodes)

Definition at line 1103 of file shape.h.

Referenced by oomph::QTaylorHoodMixedOrderSpaceTimeElement< DIM >::dshape_local_u_nst().

dshape< 4 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape< 4 > ( const double &  s, double *  DPsi  )

inline

Derivatives of 1D shape functions specialised to cubic order (4 Nodes)

Definition at line 1133 of file shape.h.

shape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape	(	const double &	s,
		double *	Psi
	)

Definition for 1D Lagrange shape functions. The value of all the shape functions at the local coordinate s are returned in the array Psi.

Definition at line 1007 of file shape.h.

shape< 2 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape< 2 > ( const double &  s, double *  Psi  )

inline

1D shape functions specialised to linear order (2 Nodes)

Definition at line 1066 of file shape.h.

References s.

Referenced by oomph::QTaylorHoodMixedOrderSpaceTimeElement< DIM >::dpshape_eulerian(), and oomph::QTaylorHoodMixedOrderSpaceTimeElement< DIM >::pshape_nst().

shape< 3 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape< 3 > ( const double &  s, double *  Psi  )

inline

1D shape functions specialised to quadratic order (3 Nodes)

Definition at line 1093 of file shape.h.

References s.

Referenced by oomph::QTaylorHoodMixedOrderSpaceTimeElement< DIM >::dshape_local_u_nst(), oomph::NavierStokesMixedOrderSpaceTimeTractionElement< ELEMENT >::shape_and_test_at_knot(), and oomph::QTaylorHoodMixedOrderSpaceTimeElement< DIM >::shape_u_nst().

shape< 4 >()

template<>

void oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape< 4 > ( const double &  s, double *  Psi  )

inline

1D shape functions specialised to cubic order (4 Nodes)

Definition at line 1122 of file shape.h.

References s.