Schwarz methods for second order Maxwell equations in 3D with coefficient jumps

Victorita Dolean, Martin J. Gander, Erwin Veneros

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

1 Citation (Scopus)
7 Downloads (Pure)

Abstract

We study non-overlapping Schwarz Methods for solving second order time-harmonic 3D Maxwell equations in heterogeneous media. Choosing the interfaces between the subdomains to be aligned with the discontinuities in the coefficients, we show for a model problem that while the classical Schwarz method is not convergent, optimized transmission conditions dependent on the discontinuities of the coefficients lead to convergent methods. We prove asymptotically that the resulting methods converge in certain cases independently of the mesh parameter, and convergence can even become better as the coefficient jumps increase.
Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXII
Place of PublicationCham
PublisherSpringer-Verlag
Pages471-479
Number of pages9
Volume104
ISBN (Print)9783319188263
DOIs
Publication statusPublished - 1 Feb 2016
Event22nd International Conference on Domain Decomposition Methods, DD 2013 - Lugano, Switzerland
Duration: 16 Sep 201320 Sep 2013

Publication series

NameLecture Notes in Computational Science and Engineering
Volume104
ISSN (Print)14397358

Conference

Conference22nd International Conference on Domain Decomposition Methods, DD 2013
CountrySwitzerland
CityLugano
Period16/09/1320/09/13

    Fingerprint

Keywords

  • Schwarz methods
  • Maxwell equations
  • heterogeneous media
  • transmission conditions
  • applied current density

Cite this

Dolean, V., Gander, M. J., & Veneros, E. (2016). Schwarz methods for second order Maxwell equations in 3D with coefficient jumps. In Domain Decomposition Methods in Science and Engineering XXII (Vol. 104, pp. 471-479). (Lecture Notes in Computational Science and Engineering; Vol. 104). Cham: Springer-Verlag. https://doi.org/10.1007/978-3-319-18827-0_48