oomph::OneDimDiscontinuousGalerkinMixedOrderTest Namespace Reference

Functions
template<unsigned NNODE_1D>
void	shape (const double &s, double *Psi)
template<unsigned NNODE_1D>
void	dshape (const double &s, double *DPsi)
template<unsigned NNODE_1D>
void	d2shape (const double &s, double *DPsi)
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)
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)
template<>
void	d2shape< 3 > (const double &s, double *DPsi)
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)

Detailed Description

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

Function Documentation

d2shape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkinMixedOrderTest::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.

    {
      // Create an output stream
      std::ostringstream error_stream;
 
      // Create the error message
      error_stream << "One dimensional Lagrange shape function "
                   << "second derivatives "
                   << "have not been defined "
                   << "for " << NNODE_1D << " nodes." << std::endl;
 
      // Throw the error message
      throw OomphLibError(
        error_stream.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
    }

References OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

d2shape< 2 >()

template<>

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

inline

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

    {
      DPsi[0] = 0.0;
      DPsi[1] = 0.0;
    }

d2shape< 3 >()

template<>

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

inline

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

    {
      DPsi[0] = 0.0;
      DPsi[1] = 0.0;
      DPsi[2] = 0.0;
    }

d2shape< 4 >()

template<>

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

inline

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

    {
      DPsi[0] = 0.0;
      DPsi[1] = 0.0;
      DPsi[2] = 0.0;
      DPsi[3] = 0.0;
    }

dshape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkinMixedOrderTest::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.

    {
      // Create an output stream
      std::ostringstream error_stream;
 
      // Create the error message
      error_stream << "One dimensional Lagrange shape function derivatives "
                   << "have not been defined "
                   << "for " << NNODE_1D << " nodes." << std::endl;
 
      // Throw the error message
      throw OomphLibError(
        error_stream.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
    }

References OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

dshape< 2 >()

template<>

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

inline

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

    {
      DPsi[0] = 0.0;
      DPsi[1] = 0.0;
    }

dshape< 3 >()

template<>

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

inline

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

    {
      DPsi[0] = 0.0;
      DPsi[1] = 0.0;
      DPsi[2] = 0.0;
    }

dshape< 4 >()

template<>

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

inline

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

    {
      DPsi[0] = 0.0;
      DPsi[1] = 0.0;
      DPsi[2] = 0.0;
      DPsi[3] = 0.0;
    }

shape()

template<unsigned NNODE_1D>

void oomph::OneDimDiscontinuousGalerkinMixedOrderTest::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.

    {
      // Create an output stream
      std::ostringstream error_stream;
 
      // Create the error message
      error_stream << "One dimensional Lagrange shape functions "
                   << "have not been defined "
                   << "for " << NNODE_1D << " nodes." << std::endl;
 
      // Throw the error message
      throw OomphLibError(
        error_stream.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
    }

References OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

shape< 2 >()

template<>

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

inline

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

    {
      Psi[0] = 0.0;
      Psi[1] = 1.0;
    }

shape< 3 >()

template<>

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

inline

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

    {
      Psi[0] = 0.0;
      Psi[1] = 0.0;
      Psi[2] = 1.0;
    }

Referenced by oomph::NavierStokesMixedOrderSpaceTimeTractionElement< ELEMENT >::shape_and_test_at_knot().

shape< 4 >()

template<>

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

inline

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

    {
      Psi[0] = 0.0;
      Psi[1] = 0.0;
      Psi[2] = 0.0;
      Psi[3] = 1.0;
    }