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Domain Decomposition Algorithms for Time-HarmonicMaxwell Equations with Damping

Published online by Cambridge University Press:  15 April 2002

Ana Alonso Rodriguez  and
Alberto Valli
Ana Alonso Rodriguez
Affiliation:
Dipartimento di Matematica, Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy. (Ana.Alonso@mat.unimi.it)
Alberto Valli
Affiliation:
Dipartimento di Matematica, Università degli Studi di Trento, 38050 Povo (Trento), Italy. (valli@science.unitn.it)
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Abstract

Three non-overlapping domain decomposition methods are proposed for thenumericalapproximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). Foreach method convergence is proved and, for the discrete problem, the rate ofconvergenceof the iterative algorithm is shown to be independent of the number ofdegrees of freedom.

Keywords

Time-harmonic Maxwell equationsdomain decomposition methodsedgefinite elements.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 4 , July 2001 , pp. 825 - 848
Copyright
© EDP Sciences, SMAI, 2001

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