A fast direct solver for high frequency scattering from a large cavity in two dimensions

Jun Lai, Sivaram Ambikasaran, Leslie F. Greengard

Research output: Contribution to journalArticle

Abstract

We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily shaped, large, empty cavity embedded in an infinite perfectly conducting half-space. The governing Maxwell equations are reformulated as a well-conditioned second kind integral equation, and the resulting linear system is solved in nearly linear time using a hierarchical matrix factorization technique. We illustrate the performance of the scheme with several numerical examples for complex cavity shapes over a wide range of frequencies.

Original languageEnglish (US)
Pages (from-to)B887-B903
JournalSIAM Journal on Scientific Computing
Volume36
Issue number6
DOIs
StatePublished - Jan 1 2014

Keywords

  • Electromagnetic scattering
  • Fast direct solver
  • Large cavity

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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