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Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case

Bruno, Oscar P. and Geuzaine, Christophe A. and Monro, John A., Jr. and Reitich, Fernando (2004) Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 362 (1816). pp. 629-645. ISSN 1364-503X. doi:10.1098/rsta.2003.1338. https://resolver.caltech.edu/CaltechAUTHORS:20181106-150424948

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Abstract

We present a new algorithm for the numerical solution of problems of electromagnetic or acoustic scattering by large, convex obstacles. This algorithm combines the use of an ansatz for the unknown density in a boundary-integral formulation of the scattering problem with an extension of the ideas of the method of stationary phase. We include numerical results illustrating the high-order convergence of our algorithm as well as its asymptotically bounded computational cost as the frequency increases.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1098/rsta.2003.1338DOIArticle
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2004 The Royal Society. Published online 21 January 2004. One contribution of 13 to a Theme ‘Short-wave scattering’. The efforts of O.B. and C.G. were sponsored by the Air Force Office of Scientific Research, Air Force Materials Command, USAF, under grant nos F49620-99-1-0010 and F49620-02-1-0049. Support from the NSF under contract nos DMS-9816802 and DMS-0104531 and from the Powell Research Foundation is gratefully acknowledged. C.G. is an FNRS Postdoctoral Scholar with the Montefiore Department, University of Liège, Belgium. The efforts of F.R. were sponsored by the Air Force Office of Scientific Research, Air Force Materials Command, USAF, under grant no. F49620-02-1-0052, by the NSF through grant nos DMS-9971379 and DMS-0311763, and by Army High Performance Computing Research Center (AHPCRC) under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement no. DAAD19-01-2-0014. The US Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the US Government.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-99-1-0010
Air Force Office of Scientific Research (AFOSR)F49620-02-1-0049
NSFDMS-9816802
NSFDMS-0104531
Charles Lee Powell FoundationUNSPECIFIED
Fonds de la Recherche Scientifique (FNRS)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)F49620-02-1-0052
NSFDMS-9971379
NSFDMS-0311763
Army Research Laboratory (ARL)DAAD19-01-2-0014
Subject Keywords:wave scattering; boundary-integral equations; spectral methods; high-frequency methods
Issue or Number:1816
DOI:10.1098/rsta.2003.1338
Record Number:CaltechAUTHORS:20181106-150424948
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20181106-150424948
Official Citation:Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case. Oscar P. Bruno, Christophe A. Geuzaine, John A. Monro, Jr, Fernando Reitich. Phil. Trans. R. Soc. Lond. A 2004 362 629-645; DOI: 10.1098/rsta.2003.1338. Published 15 March 2004
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90679
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Nov 2018 21:01
Last Modified:16 Nov 2021 03:34

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