Convert a simple scalar local basis into a global basis. More...

Inheritance diagram for Dune::ScalarLocalToGlobalBasisAdaptor< LocalBasis, Geometry >:

Public Member Functions
std::size_t	size () const
	Number of shape functions. More...

std::size_t	order () const
	Polynomial order of the shape functions for quadrature. More...

void	evaluateFunction (const Traits::DomainLocal &in, std::vector< Traits::Range > &out) const
	Evaluate all shape functions at given position. More...

void	evaluateJacobian (const Traits::DomainLocal &in, std::vector< Traits::Jacobian > &out) const
	Evaluate Jacobian of all shape functions at given position. More...

void	evaluate (const std::array< std::size_t, Traits::dimDomainGlobal > &directions, const Traits::DomainLocal &in, std::vector< Traits::Range > &out) const
	Evaluate derivatives of all shape functions at given position. More...

Detailed Description

Convert a simple scalar local basis into a global basis.

The local basis must be scalar, i.e. LocalBasis::Traits::dimRange must be

For scalar function $f$ , the gradient is equivalent to the transposed Jacobian $\nabla f|_x = J_f^T(x)$ . The Jacobian is thus transformed using

$\nabla f|_{\mu(\hat x)} = \hat J_\mu^{-T}(\hat x) \cdot \hat\nabla\hat f|_{\hat x}$

Here the hat $\hat{\phantom x}$ denotes local quantities and $\mu$ denotes the local-to-global map of the geometry.

Template Parameters

LocalBasis	Type of the local basis to adapt.
Geometry	Type of the local-to-global transformation.

Member Function Documentation

void Dune::BasisInterface::evaluate	(	const std::array< std::size_t, Traits::dimDomainGlobal > &	directions,
		const Traits::DomainLocal &	in,
		std::vector< Traits::Range > &	out
	)		const

inherited

Evaluate derivatives of all shape functions at given position.

void Dune::BasisInterface::evaluateFunction	(	const Traits::DomainLocal &	in,
		std::vector< Traits::Range > &	out
	)		const

inherited

Evaluate all shape functions at given position.

void Dune::BasisInterface::evaluateJacobian	(	const Traits::DomainLocal &	in,
		std::vector< Traits::Jacobian > &	out
	)		const

inherited

Evaluate Jacobian of all shape functions at given position.

Note: Only required for Traits::diffOrder >= 1

std::size_t Dune::BasisInterface::order ( ) const

inherited

Polynomial order of the shape functions for quadrature.

std::size_t Dune::BasisInterface::size ( ) const

inherited

Number of shape functions.

The documentation for this class was generated from the following file: