oomph::OneDimDiscontinuousGalerkin 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. More...
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. More...
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. More...
template<>
void	shape< 2 > (const double &s, double *Psi)
	1D shape functions specialised to linear order (2 Nodes) More...
template<>
void	dshape< 2 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to linear order (2 Nodes) More...
template<>
void	d2shape< 2 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes) More...
template<>
void	shape< 3 > (const double &s, double *Psi)
	1D shape functions specialised to quadratic order (3 Nodes) More...
template<>
void	dshape< 3 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to quadratic order (3 Nodes) More...
template<>
void	d2shape< 3 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes) More...
template<>
void	shape< 4 > (const double &s, double *Psi)
	1D shape functions specialised to cubic order (4 Nodes) More...
template<>
void	dshape< 4 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to cubic order (4 Nodes) More...
template<>
void	d2shape< 4 > (const double &s, double *DPsi)
	Second derivatives of 1D shape functions specialised to cubic order (4 nodes) More...

Detailed Description

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

Function Documentation

d2shape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkin::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 763 of file shape.h.

d2shape< 2 >()

template<>

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

inline

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

Definition at line 800 of file shape.h.

d2shape< 3 >()

template<>

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

inline

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

Definition at line 830 of file shape.h.

d2shape< 4 >()

template<>

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

inline

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

Definition at line 861 of file shape.h.

dshape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkin::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 743 of file shape.h.

dshape< 2 >()

template<>

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

inline

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

Definition at line 791 of file shape.h.

dshape< 3 >()

template<>

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

inline

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

Definition at line 820 of file shape.h.

Referenced by oomph::QTaylorHoodSpaceTimeElement< DIM >::dshape_and_dtest_eulerian_nst().

dshape< 4 >()

template<>

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

inline

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

Definition at line 850 of file shape.h.

References s.

shape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkin::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 724 of file shape.h.

shape< 2 >()

template<>

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

inline

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

Definition at line 783 of file shape.h.

shape< 3 >()

template<>

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

inline

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

Definition at line 810 of file shape.h.

References s.

Referenced by oomph::QTaylorHoodSpaceTimeElement< DIM >::dshape_and_dtest_eulerian_nst(), and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::shape_and_test_at_knot().

shape< 4 >()

template<>

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

inline

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

Definition at line 839 of file shape.h.

References s.