shape.h File Reference

Go to the source code of this file.

Classes
class	oomph::Shape
	A Class for shape functions. In simple cases, the shape functions have only one index that can be thought of as corresponding to the nodal points. In general, however, when quantities and their gradients are interpolated separately, the shape function have two indices: one corresponding to the nodal points, and the other to the "type" of quantity being interpolated: function, derivative, &c The second index can also represent the vector coordinate for vector-valued (Nedelec) shape functions. More...
class	oomph::DShape
	A Class for the derivatives of shape functions The class design is essentially the same as Shape, but there is on additional index that is used to indicate the coordinate direction in which the derivative is taken. More...
class	oomph::ShapeWithDeepCopy
	A shape function with a deep copy constructor. This allows for use with stl operations (e.g. manipulating vectors of shape functions). A seperate class is needed because the basic shape function uses a shallow copy. More...
class	oomph::OneDimensionalLegendreShape< NNODE_1D >
	Class that returns the shape functions associated with legendre. More...
class	oomph::OneDimensionalLegendreDShape< NNODE_1D >
class	oomph::OneDimensionalModalShape
	Non-templated class that returns modal hierachical shape functions based on Legendre polynomials. More...
class	oomph::OneDimensionalModalDShape

Namespaces
namespace	oomph
	//////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////
namespace	oomph::OneDimLagrange
namespace	oomph::OneDimDiscontinuousGalerkin
	One dimensional shape functions and derivatives. Empty – simply establishes the template parameters.
namespace	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis
	One dimensional shape functions and derivatives. Empty – simply establishes the template parameters.
namespace	oomph::OneDimDiscontinuousGalerkinMixedOrderTest
	One dimensional shape functions and derivatives. Empty – simply establishes the template parameters.
namespace	oomph::OneDimHermite
	One Dimensional Hermite shape functions.

Functions
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.
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.
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.
template<>
void	oomph::OneDimLagrange::shape< 2 > (const double &s, double *Psi)
	1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimLagrange::dshape< 2 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimLagrange::d2shape< 2 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimLagrange::shape< 3 > (const double &s, double *Psi)
	1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimLagrange::dshape< 3 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimLagrange::d2shape< 3 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimLagrange::shape< 4 > (const double &s, double *Psi)
	1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimLagrange::dshape< 4 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimLagrange::d2shape< 4 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions specialised to cubic order (4 Nodes)
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.
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.
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.
template<>
void	oomph::OneDimDiscontinuousGalerkin::shape< 2 > (const double &s, double *Psi)
	1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::dshape< 2 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::d2shape< 2 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::shape< 3 > (const double &s, double *Psi)
	1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::dshape< 3 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::d2shape< 3 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::shape< 4 > (const double &s, double *Psi)
	1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::dshape< 4 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkin::d2shape< 4 > (const double &s, double *DPsi)
	Second derivatives of 1D shape functions specialised to cubic order (4 nodes)
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.
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.
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.
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape< 2 > (const double &s, double *Psi)
	1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape< 2 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape< 2 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape< 3 > (const double &s, double *Psi)
	1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape< 3 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape< 3 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::shape< 4 > (const double &s, double *Psi)
	1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::dshape< 4 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderBasis::d2shape< 4 > (const double &s, double *DPsi)
	Second derivatives of 1D shape functions specialised to cubic order (4 nodes)
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.
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.
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.
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::shape< 2 > (const double &s, double *Psi)
	1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::dshape< 2 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::d2shape< 2 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to linear order (2 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::shape< 3 > (const double &s, double *Psi)
	1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::dshape< 3 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::d2shape< 3 > (const double &s, double *DPsi)
	Second Derivatives of 1D shape functions, specialised to quadratic order (3 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::shape< 4 > (const double &s, double *Psi)
	1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::dshape< 4 > (const double &s, double *DPsi)
	Derivatives of 1D shape functions specialised to cubic order (4 Nodes)
template<>
void	oomph::OneDimDiscontinuousGalerkinMixedOrderTest::d2shape< 4 > (const double &s, double *DPsi)
	Second derivatives of 1D shape functions specialised to cubic order (4 nodes)
void	oomph::OneDimHermite::shape (const double &s, double Psi[2][2])
	Constructor sets the values of the shape functions at the position s.
void	oomph::OneDimHermite::dshape (const double &s, double DPsi[2][2])
	Derivatives of 1D Hermite shape functions.
void	oomph::OneDimHermite::d2shape (const double &s, double DPsi[2][2])
	Second derivatives of the Hermite shape functions.