Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation

Yassine Boubendir, Dawid Midura

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A square-root based transmission conditions domain decomposition method was recently introduced for the Helmholtz equation. It produces an effective algorithm where the convergence is independent of the wavenumber and the mesh discretization. We modify here these conditions in order to guarantee well-posedness of local problems and further improve the efficiency of the whole method. Numerical results, in particular in the three dimensional case, show significant reduction of the computational time needed in the iterative procedure while preserving the iteration number when compared with the original algorithm.

Original languageEnglish (US)
Pages (from-to)1900-1911
Number of pages12
JournalComputers and Mathematics with Applications
Volume75
Issue number6
DOIs
StatePublished - Mar 15 2018

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Keywords

  • Domain decomposition methods
  • Helmholtz equation
  • Transmission conditions

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