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Fast, High-Order, High-Frequency Integral Methods for Computational Acoustics and Electromagnetics

Bruno, Oscar P. (2003) Fast, High-Order, High-Frequency Integral Methods for Computational Acoustics and Electromagnetics. In: Topics in Computational Wave Propagation: Direct and Inverse Problems. Lecture Notes in Computational Science and Engineering. No.31. Springer , Berlin, pp. 43-82. ISBN 978-3-540-00744-9. https://resolver.caltech.edu/CaltechAUTHORS:20181106-073820064

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Abstract

We review a set of algorithms and methodologies developed recently for the numerical solution of problems of scattering by complex bodies in three-dimensional space. These methods, which are based on integral equations, high-order integration, Fast Fourier Transforms and highly accurate high-frequency integrators, can be used in the solution of problems of electromagnetic and acoustic scattering by surfaces and penetrable scatterers — even in cases in which the scatterers contain geometric singularities such as comers and edges. All of the solvers presented here exhibit high-order convergence, they run on low memories and reduced operation counts, and they result in solutions with a high degree of accuracy. In particular, our approach to direct solution of integral equations results in algorithms that can evaluate accurately in a personal computer scattering from hundred-wavelength-long objects — a goal, otherwise achievable today only by super-computing. The high-order high-frequency methods we present, in turn, are efficient where our direct methods become costly, thus leading to an overall computational methodology which is applicable and accurate throughout the electromagnetic spectrum.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-3-642-55483-4_2DOIArticle
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2003 Springer-Verlag Berlin Heidelberg.
Subject Keywords:Fourier Series; Trapezoidal Rule; Helmholtz Equation; Singular Surface; Fast Multipole Method
Series Name:Lecture Notes in Computational Science and Engineering
Issue or Number:31
Record Number:CaltechAUTHORS:20181106-073820064
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20181106-073820064
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90655
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Nov 2018 18:41
Last Modified:03 Oct 2019 20:27

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