A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media
(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:
https://lup.lub.lu.se/record/221373
- author
- Andersson, Fredrik LU and Holst, Anders LU
- organization
- publishing date
- 2005
- 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}}, }