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Fast hybrid algorithms for high frequency scattering
Department of Mathematics, The University of Texas at Austin, Austin, USA.
Department of Mathematics, The University of Texas at Austin, Austin, USA.
Department of Mathematics, The University of Texas at Austin, Austin, USA.
2009 (English)In: AIP Conference Proceedings: Volume 1106, 2009, Vol. 1106, 3-17 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper deals with numerical methods for high frequency wave scattering. It introduces a new hybrid technique that couples a directional fast multipole method for a subsection of a scattering surface to an asymptotic formulation over the rest of the scattering domain. The directional fast multipole method is new and highly efficient for the solution of the boundary integral formulation of a general scattering problem but it requires at least a few unknowns per wavelength on the boundary. The asymptotic method that was introduced by Bruno and collaborators requires much fewer unknowns. On the other hand the scattered field must have a simple structure. Hybridization of these two methods retains their best properties for the solution of the full problem. Numerical examples are given for the solution of the Helmholtz equation in two space dimensions.

Place, publisher, year, edition, pages
2009. Vol. 1106, 3-17 p.
Series
AIP Conference Proceedings, ISSN 0094-243X
Keyword [en]
Scattering theory, Integral equations, Integral and integrodifferential equations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-72482DOI: 10.1063/1.3117111ISI: 000264867300001OAI: oai:DiVA.org:kth-72482DiVA: diva2:487685
Conference
3rd Conference on Mathematical Modeling of Wave Phenomena, MMWP08 and 20th Nordic Conference on Radio Science and Communications, RVK08, Växjö, 13-19 June, 2008
Note
QC 20120217Available from: 2012-01-31 Created: 2012-01-31 Last updated: 2012-02-17Bibliographically approved

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