Functions
oomph::OneDimLagrange Namespace Reference

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)
 

Function Documentation

◆ d2shape()

template<unsigned NNODE_1D>
void oomph::OneDimLagrange::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 593 of file shape.h.

◆ d2shape< 2 >()

template<>
void oomph::OneDimLagrange::d2shape< 2 > ( const double s,
double DPsi 
)
inline

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

Definition at line 625 of file shape.h.

◆ d2shape< 3 >()

template<>
void oomph::OneDimLagrange::d2shape< 3 > ( const double s,
double DPsi 
)
inline

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

Definition at line 656 of file shape.h.

◆ d2shape< 4 >()

template<>
void oomph::OneDimLagrange::d2shape< 4 > ( const double s,
double DPsi 
)
inline

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

Definition at line 700 of file shape.h.

References s.

◆ dshape()

template<unsigned NNODE_1D>
void oomph::OneDimLagrange::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 578 of file shape.h.

◆ dshape< 2 >()

template<>
void oomph::OneDimLagrange::dshape< 2 > ( const double s,
double DPsi 
)
inline

◆ dshape< 3 >()

template<>
void oomph::OneDimLagrange::dshape< 3 > ( const double s,
double DPsi 
)
inline

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

Definition at line 645 of file shape.h.

References s.

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

◆ dshape< 4 >()

template<>
void oomph::OneDimLagrange::dshape< 4 > ( const double s,
double DPsi 
)
inline

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

Definition at line 684 of file shape.h.

References s.

◆ shape()

template<unsigned NNODE_1D>
void oomph::OneDimLagrange::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 564 of file shape.h.

◆ shape< 2 >()

template<>
void oomph::OneDimLagrange::shape< 2 > ( const double s,
double Psi 
)
inline

◆ shape< 3 >()

template<>
void oomph::OneDimLagrange::shape< 3 > ( const double s,
double Psi 
)
inline

◆ shape< 4 >()

template<>
void oomph::OneDimLagrange::shape< 4 > ( const double s,
double Psi 
)
inline

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

Definition at line 665 of file shape.h.

References s.