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Acoustic scattering : high frequency boundary element methods and unified transform methods

Chandler-Wilde, S.N. and Langdon, S. (2015) Acoustic scattering : high frequency boundary element methods and unified transform methods. In: Fokas, A.S. and Pelloni, B. (eds.) Unified transform for boundary value problems : applications and advances. Society for Industrial and Applied Mathematics, Philadelphia, pp. 181-226. ISBN 9781611973815

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Abstract/Summary

We describe some recent advances in the numerical solution of acoustic scattering problems. A major focus of the paper is the efficient solution of high frequency scattering problems via hybrid numerical-asymptotic boundary element methods. We also make connections to the unified transform method due to A. S. Fokas and co-authors, analysing particular instances of this method, proposed by J. A. De-Santo and co-authors, for problems of acoustic scattering by diffraction gratings.

Item Type:Book or Report Section
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:39326
Publisher:Society for Industrial and Applied Mathematics

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