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Adaptive Local Multigrid Methods for the Solution of Time Harmonic Eddy Current Problems

Sterz, Oliver and Hauser, Andreas and Wittum, Gabriel

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Abstract

The efficient computation of large eddy current problems with finite elements requires adaptive methods and fast optimal iterative solvers like multigrid methods. This paper provides an overview of the most important implementation aspects of an adaptive multigrid scheme for time-harmonic eddy currents. It is shown how the standard multigrid scheme can be modified to yield an O(N) complexity even for general adaptive refinement strategies, where the number of unknowns N can grow slowly from one to the next refinement level. Algorithmic details and numerical examples are given.

Item Type: Preprint
Series Name: IWR-Preprints
Date Deposited: 04 Jul 2005 13:55
Date: 2005
Faculties / Institutes: Service facilities > Interdisciplinary Center for Scientific Computing
Subjects: 510 Mathematics
Controlled Keywords: Wirbelstrom, Mehrgitterverfahren, Adaptives Verfahren, Lokale Verfeinerung, Finite-Elemente-Methode
Uncontrolled Keywords: eddy currents , edge elements , local multigrid , adaptivity , red-green refinement
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