One way domain decomposition method with second order transmission conditions for solving electromagnetic wave problems

Zhen Peng, Vineet Rawat, Jin Fa Lee

Research output: Contribution to journalArticlepeer-review

Abstract

Non-overlapping domain decomposition (DD) methods with complex first order Robin-type transmission conditions (TCs) provide an efficient iterative solution for Maxwell's equation. Unfortunately, the first order TCs do not effectively account for some eigenmodes of the system matrix, which limits the scalability of the methods. In this work, we examine two TCs with a second order transverse derivative to improve the method's performance. A detailed convergence analysis of the two TCs is presented. We then investigate the use of the two second order TCs in non-conformal and non-overlapping one way DD methods. Numerical results illustrate the effectiveness of the proposed methods on some model problems and on several problems of practical interest.

Original languageEnglish (US)
Pages (from-to)1181-1197
Number of pages17
JournalJournal of Computational Physics
Volume229
Issue number4
DOIs
StatePublished - Feb 20 2010
Externally publishedYes

Keywords

  • Domain decomposition methods
  • Maxwell's equations
  • Second order transmission conditions

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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