Detailed Description

template<class VariableSetDescription, class Scaling = IdentityScaling>
class Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >

Embedded error estimation and mesh refinement.

Given an approximate solution \( u \) and an explicit error approximation representation \( \delta u \) from the same finite element spaces, this error estimator computes

\[ \epsilon_i = \int_\Omega (s_u(u)\delta u)^2 \, dx, \quad \eta_i = \int_\Omega s(u)^2 \, dx. \]

If \( \epsilon_i > \mathrm{aTOL}_i^2 + \mathrm{rTOL}_i^2 \eta_i \) for any \( i \), the mesh is refined.

The cells with largest contribution to \( \epsilon_i \) are marked for refinement.

Definition at line 315 of file embedded_errorest.hh.

Public Types
typedef GridManager< typename VariableSetDescription::Grid >	GManager

typedef EmbeddedErrorEstimator< VariableSetDescription, Scaling >	Self

Public Member Functions
	EmbeddedErrorEstimator (GManager &gridManager_, VariableSetDescription const &varDesc_, Scaling const &scaling_=Scaling())
	Constructor. More...

bool	estimate (typename VariableSetDescription::VariableSet const &err, typename VariableSetDescription::VariableSet const &sol) const
	perform error estimation More...

Self &	setTolerances (std::vector< std::pair< double, double > > const &tol_)
	set the tolerances More...

Self &	setScaling (Scaling const &scaling_)
	set the scaling More...

Self &	setCriterion (RefinementCriterion const &criterion_)
	set the refinement criterion More...

Self &	setVerbosity (int verbosity_)
	set the verbosity level More...

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

embedded_errorest.hh

Detailed Description

Public Types

Public Member Functions