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Fast, high-order solution of surface scattering problems

Bruno, Oscar P. and Kunyansky, Leonid A. (2001) Fast, high-order solution of surface scattering problems. In: IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting. Vol.2. IEEE , Piscataway, NJ, pp. 554-557. ISBN 0-7803-7070-8. https://resolver.caltech.edu/CaltechAUTHORS:20181106-144801749

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Abstract

We present a new algorithm for the numerical solution of problems of acoustic scattering by surfaces in three-dimensional space. This algorithm evaluates the scattered field, through fast, high-order solution of the boundary integral equation. The high-order of the solver is achieved through use of partition of unity together with analytical resolution of kernel singularities. The acceleration in turn, results from a novel approach which, based on high-order "two-face" equivalent source approximations, reduces the evaluation of far interactions to evaluation of 3-D FFTs. We demonstrate its performance with a variety of numerical results. In particular, we show that the present algorithm can evaluate accurately in a personal computer, scattering from bodies of acoustical sizes of several hundreds.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/APS.2001.959784DOIArticle
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2001 IEEE. Effort sponsored by the AFOSR under grant numbers F49620-96-1-0008 and F49620-99-1-0010.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-96-1-0008
Air Force Office of Scientific Research (AFOSR)F49620-99-1-0010
Record Number:CaltechAUTHORS:20181106-144801749
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20181106-144801749
Official Citation:O. P. Bruno and L. A. Kunyansky, "Fast, high-order solution of surface scattering problems," IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229), Boston, MA, USA, 2001, pp. 554-557 vol.2.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90676
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Nov 2018 21:05
Last Modified:03 Oct 2019 20:27

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