Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations

Owe Axelsson, J. Karátson, Fréderic Magoulès

Research output: Contribution to journalArticle

Abstract

Complex-valued Helmholtz equations arise in various applications, and a lot of research has been devoted to finding efficient preconditioners for the iterative solution of their discretizations. In this paper we consider the Helmholtz equation rewritten in real-valued block form, and use a preconditioner in a special two-by-two block form. We show that the corresponding preconditioned Krylov iteration converges at a mesh-independent superlinear rate.

Original languageEnglish
JournalJournal of Computational and Applied Mathematics
DOIs
Publication statusAccepted/In press - Jan 1 2018

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Keywords

  • Helmholtz equations
  • Iterative solution
  • Mesh-independent superlinear convergence
  • Preconditioning

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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