Dune::Fem::GridAdaptation Namespace Reference

Classes
struct	Marker

Functions
template<class Grid , class Indicator >
static std::pair< int, int >	mark (Grid &grid, Indicator &indicator, const double refineTolerance, const double coarsenTolerance, const int minLevel=0, int maxLevel=-1, const double minVolume=-1., double maxVolume=-1.0, const bool markNeighbors=false, const bool statistics=false)
template<class Grid , class Indicator >
static std::pair< int, int >	doerflerMarking (Grid &grid, const Indicator &indicator, const double theta, int maxLevel=-1)
	doerflerMarking
template<class Grid , class Indicator >
static std::pair< int, int >	layeredDoerflerMarking (Grid &grid, const Indicator &indicator, const double tolerance, int maxLevel=-1, double nu=0.05)

Function Documentation

doerflerMarking()

template<class Grid , class Indicator >

static std::pair< int, int > Dune::Fem::GridAdaptation::doerflerMarking ( Grid &  grid, const Indicator &  indicator, const double  theta, int  maxLevel = -1  )

inlinestatic

doerflerMarking

Mark a minimal set \(\mathcal{A} \subset \mathcal{G}\) of elements in a grid \(\mathcal{G}\) such that $[ \sum_{T \in \mathcal{A}} \eta_t \ge \theta\,\sum_{T \in \mathcal{G}} \eta_T. $]

See also: W. Dörfler, A Convergent Adaptive Algorithm for Poisson's Equation, SIAM J. Numer. Anal. 33 (3), 1106-1124, 1996

For the sake of simplicity, this algorithm assumes disjoint local errors \(\eta_T\). Otherwise, too more elements may be marked.

Parameters

[in]	localError	function modelling \(\eta_T\)
[in]	theta	factor of total error to mark
[in,out]	grid	grid \(\mathcal{G}\) to mark

layeredDoerflerMarking()

template<class Grid , class Indicator >

static std::pair< int, int > Dune::Fem::GridAdaptation::layeredDoerflerMarking ( Grid &  grid, const Indicator &  indicator, const double  tolerance, int  maxLevel = -1, double  nu = 0.05  )

inlinestatic

mark()

template<class Grid , class Indicator >

static std::pair< int, int > Dune::Fem::GridAdaptation::mark ( Grid &  grid, Indicator &  indicator, const double  refineTolerance, const double  coarsenTolerance, const int  minLevel = 0, int  maxLevel = -1, const double  minVolume = -1., double  maxVolume = -1.0, const bool  markNeighbors = false, const bool  statistics = false  )

inlinestatic