An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations

X. Antoine, Y. Boubendir

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The solution of the two-dimensional scattering problem for an homogeneous dielectric cylinder of arbitrary shape is considered. The numerical approach is based on a two-field system of integral equations solved by a Krylov subspace method. To accelerate and to improve the convergence of this solver, an efficient and robust preconditioner, based on the Calderon formulae, is developed. Several numerical simulations, for a wide range of physical parameters, validating the choice of this preconditioner are presented.

Original languageEnglish (US)
Pages (from-to)1473-1490
Number of pages18
JournalInternational Journal of Computer Mathematics
Volume85
Issue number10
DOIs
StatePublished - Oct 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

Keywords

  • Calderón formulae
  • Dielectric media
  • Electromagnetic scattering
  • Integral equation
  • Preconditioning techniques

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