A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

Fredrik Andersson, Anders Holst

Research output: Contribution to journalArticlepeer-review

7 Citations (SciVal)

Abstract

The numerical treatment of two-dimensional scattering in inhomogeneous media is considered. A novel approach in treating convolution operators with low regularity is used to construct an iterative solver for the Lippmann-Schwinger integral equation. In this way, accurate approximations within a choice of bandwidth can be obtained in a rapid manner. The performance of the method is tested on a discontinuous scattering object for which the exact solution is known.
Original languageEnglish
Pages (from-to)471-487
JournalJournal of Fourier Analysis and Applications
Volume11
Issue number4
DOIs
Publication statusPublished - 2005

Subject classification (UKÄ)

  • Mathematical Analysis

Keywords

  • fast algorithms
  • Lippmann-Schwinger equation
  • Helmholtz equation

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