A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

Summary, in English

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.

• Författare: Fredrik Andersson; Anders Holst
• Avdelning/ar: Matematik LTH; Partial differential equations
• Publiceringsår: 2005
• Språk: Engelska
• Sidor: 471-487
• Publikation/Tidskrift/Serie: Journal of Fourier Analysis and Applications
• Volym: 11
• Issue: 4
• Länkar: http://dx.doi.org/10.1007/s00041-005-4082-1
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Mathematical Analysis
• Nyckelord: fast algorithms; Lippmann-Schwinger equation; Helmholtz equation
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications; Partial differential equations
• ISBN/ISSN/Övrigt: ISSN: 1531-5851