hp1D::RefineOrRaise< F > Class Template Reference

Refines element or raises its polynomial degree. More...

#include <hpExtension.hh>

Inheritance diagram for hp1D::RefineOrRaise< F >:

Collaboration diagram for hp1D::RefineOrRaise< F >:

List of all members.

Public Member Functions
virtual void	operator() (const concepts::Element< F > &elm) throw (concepts::MissingFeature)
	Application operator.
virtual void	operator() (const concepts::Cell &cell) throw (concepts::MissingFeature)
	Application operator.
	RefineOrRaise (const concepts::Vector< F > &solution, const Real theta, concepts::AdaptiveSpace< Real, concepts::AdaptiveAdjustP< 1 > > &spc)
	Constructor.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
concepts::Array< F >	coeff_
	Elementwise coefficients of the shape functions.
concepts::Array< F >	legendre_
	Legendre coefficients.
const concepts::Vector< F > &	solution_
	Vector of the variable to plot.
concepts::AdaptiveSpace< Real, concepts::AdaptiveAdjustP< 1 > > &	spc_
	Space.
const Real	theta_
	Decision parameter.

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Detailed Description

template<typename F>
class hp1D::RefineOrRaise< F >

Refines element or raises its polynomial degree.

The decision is based on a log linear regression to find out if the Legendre coefficients of the solution decrease exponentially.

The parameter theta is used to control this decision. If is less than theta, the element's polynomial degree is raised, otherwise it is refined. m is the slope of the fitted line in the regression.

Author:

Philipp Frauenfelder, 2002

Definition at line 38 of file hpExtension.hh.

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Constructor & Destructor Documentation

template<typename F >

hp1D::RefineOrRaise< F >::RefineOrRaise	(	const concepts::Vector< F > &	solution,
		const Real	theta,
		concepts::AdaptiveSpace< Real, concepts::AdaptiveAdjustP< 1 > > &	spc
	)

Constructor.

Parameters:

solution	Solution vector
theta	Decision parameter
spc	Space (is used for the refinements)

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Member Function Documentation

template<class F>

virtual std::ostream& concepts::CellPostprocess< F >::info

(

std::ostream &

os

)

const [protected, virtual, inherited]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in EvaluateEa_of_x, CellA_M_alpha_of_x, CellA_M_of_x_MC, graphics::BaseOutputCell< F >, graphics::BaseDataCell< F, G >, graphics::BaseElementFormulaCell< F, G >, graphics::BaseFormulaCell< F, G >, graphics::BaseMeshCell, graphics::VertexList, hp2D::APrioriRefinement, hp3D::APrioriRefinement, concepts::HRefinement< F, dim >, concepts::PRefinement< F, dim >, concepts::CellIntegral< F >, concepts::CellFaceIntegral< F >, concepts::CellEdgeIntegral< F >, graphics::BaseOutputCell< G >, and graphics::BaseOutputCell< Real >.

template<typename F >

virtual void hp1D::RefineOrRaise< F >::operator()

(

const concepts::Element< F > &

elm

)

throw (concepts::MissingFeature) [virtual]

Application operator.

This application operator has to be overloaded to post process a space.

Parameters:

elm	Current element

Implements concepts::CellPostprocess< F >.

template<typename F >

virtual void hp1D::RefineOrRaise< F >::operator()

(

const concepts::Cell &

cell

)

throw (concepts::MissingFeature) [inline, virtual]

Application operator.

This application operator has to be overloaded to post process a mesh.

Parameters:

cell	Current cell

Implements concepts::CellPostprocess< F >.

Definition at line 51 of file hpExtension.hh.

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Member Data Documentation

template<typename F >

concepts::Array<F> hp1D::RefineOrRaise< F >::coeff_ [private]

Elementwise coefficients of the shape functions.

Definition at line 55 of file hpExtension.hh.

template<typename F >

concepts::Array<F> hp1D::RefineOrRaise< F >::legendre_ [private]

Legendre coefficients.

Definition at line 57 of file hpExtension.hh.

template<typename F >

const concepts::Vector<F>& hp1D::RefineOrRaise< F >::solution_ [private]

Vector of the variable to plot.

Definition at line 59 of file hpExtension.hh.

template<typename F >

concepts::AdaptiveSpace<Real, concepts::AdaptiveAdjustP<1> >& hp1D::RefineOrRaise< F >::spc_ [private]

Space.

Definition at line 61 of file hpExtension.hh.

template<typename F >

const Real hp1D::RefineOrRaise< F >::theta_ [private]

Decision parameter.

Definition at line 63 of file hpExtension.hh.

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

• hp1D/hpExtension.hh