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A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

Andersson, Fredrik LU and Holst, Anders LU (2005) In Journal of Fourier Analysis and Applications 11(4). p.471-487
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
fast algorithms, Lippmann-Schwinger equation, Helmholtz equation
in
Journal of Fourier Analysis and Applications
volume
11
issue
4
pages
471 - 487
publisher
Springer
external identifiers
  • wos:000232326900006
  • scopus:23944483959
ISSN
1531-5851
DOI
10.1007/s00041-005-4082-1
language
English
LU publication?
yes
id
aaf067a9-3329-4352-8174-6e277303c9ba (old id 221373)
date added to LUP
2016-04-01 11:41:31
date last changed
2022-04-20 20:24:59
@article{aaf067a9-3329-4352-8174-6e277303c9ba,
  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.}},
  author       = {{Andersson, Fredrik and Holst, Anders}},
  issn         = {{1531-5851}},
  keywords     = {{fast algorithms; Lippmann-Schwinger equation; Helmholtz equation}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{471--487}},
  publisher    = {{Springer}},
  series       = {{Journal of Fourier Analysis and Applications}},
  title        = {{A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media}},
  url          = {{http://dx.doi.org/10.1007/s00041-005-4082-1}},
  doi          = {{10.1007/s00041-005-4082-1}},
  volume       = {{11}},
  year         = {{2005}},
}