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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 the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.

Keywords

Time-harmonic Maxwell equationsdomain decomposition methodsedge finite 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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