Comparison of a one and two parameter family of transmission conditions for Maxwell's equations with damping

M. El Bouajaji, V. Dolean, M. J. Gander, S. Lanteri

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

4 Citations (Scopus)

Abstract

Transmission conditions between subdomains have a substantial influence on the convergence of iterative domain decomposition algorithms. For Maxwell’s equations, transmission conditionswhich lead to rapidly converging algorithms have been developed both for the curl-curl formulation of Maxwell’s equation, see [1–3], and also for first order formulations, see [6, 7]. These methods have well found their way into applications, see for example [9] and the references therein. It turns out that good transmission conditions are approximations of transparent boundary conditions.
Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XX
EditorsRandolph Bank, Michael Holst, Olof Widlund, Jinchao Xu
Place of PublicationBerlin
PublisherSpringer-Verlag
Pages271-278
Number of pages8
ISBN (Print)9783642352744
DOIs
Publication statusPublished - 15 Jul 2013

Publication series

NameLecture Notes in Computational Science and Engineering
PublisherSpringer
Volume91
ISSN (Print)1439-7358

Cite this

El Bouajaji, M., Dolean, V., Gander, M. J., & Lanteri, S. (2013). Comparison of a one and two parameter family of transmission conditions for Maxwell's equations with damping. In R. Bank, M. Holst, O. Widlund, & J. Xu (Eds.), Domain Decomposition Methods in Science and Engineering XX (pp. 271-278). (Lecture Notes in Computational Science and Engineering; Vol. 91). Springer-Verlag. https://doi.org/10.1007/978-3-642-35275-1_31