Published March 15, 2004
| public
Journal Article
Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
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.
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.Additional details
- Eprint ID
- 90679
- DOI
- 10.1098/rsta.2003.1338
- Resolver ID
- CaltechAUTHORS:20181106-150424948
- F49620-99-1-0010
- Air Force Office of Scientific Research (AFOSR)
- F49620-02-1-0049
- Air Force Office of Scientific Research (AFOSR)
- DMS-9816802
- NSF
- DMS-0104531
- NSF
- Charles Lee Powell Foundation
- Fonds de la Recherche Scientifique (FNRS)
- F49620-02-1-0052
- Air Force Office of Scientific Research (AFOSR)
- DMS-9971379
- NSF
- DMS-0311763
- NSF
- DAAD19-01-2-0014
- Army Research Laboratory (ARL)
- Created
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2018-11-07Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field