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Residual based a posteriori error estimators for eddy current computation

Rudi BeckRalf HiptmairRonald H.W. HoppeBarbara Wohlmuth — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We consider ;Ω)-elliptic problems that have been discretized by means of Nédélec's edge elements on tetrahedral meshes. Such problems occur in the numerical computation of eddy currents. From the defect equation we derive localized expressions that can be used as error estimators to control adaptive refinement. Under certain assumptions on material parameters and computational domains, we derive local lower bounds and a global upper bound for the total error measured in the energy norm. The...

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