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Stationary iteratio...
Stationary iteration methods for solving 3D electromagnetic scattering problems
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- Samokhin, Alexander (författare)
- Moscow State Tech Univ Radio Engn & Automat, Moscow 117648, Russia.,Moscow State Technical University of Radio Engineering and Automation, Moscow, Russian Federation
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- Shestopalov, Youri, 1953- (författare)
- Karlstads universitet,Institutionen för ingenjörsvetenskap, fysik och matematik
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- Kobayashi, Kazuya (författare)
- Chuo Univ, Bunkyo Ku, Tokyo 1128551, Japan,Chuo University, Tokyo, Japan
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- Shestopalov, Yury V., 1953- (författare)
- Karlstad University, Karlstad, Sweden
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Moscow State Tech Univ Radio Engn & Automat, Moscow 117648, Russia Moscow State Technical University of Radio Engineering and Automation, Moscow, Russian Federation (creator_code:org_t)
- Elsevier BV, 2013
- 2013
- Engelska.
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Ingår i: Applied Mathematics and Computation. - : Elsevier BV. - 0096-3003 .- 1873-5649. ; 222, s. 107-122
- Relaterad länk:
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http://arxiv.org/pdf...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- Generalized Chebyshev iteration (GCI) applied for solving linear equations with nonselfadjoint operators is considered. Sufficient conditions providing the convergence of iterations imposed on the domain of localization of the spectrum on the complex plane are obtained. A minimax problem for the determination of optimal complex iteration parameters is formulated. An algorithm of finding an optimal iteration parameter in the case of arbitrary location of the operator spectrum on the complex plane is constructed for the generalized simple iteration method. The results are applied to numerical solution of volume singular integral equations (VSIEs) associated with the problems of the mathematical theory of wave diffraction by 3D dielectric bodies. In particular, the domain of the spectrum location is described explicitly for low-frequency scattering problems and in the general case. The obtained results are discussed and recommendations concerning their applications are given. (C) 2013 Elsevier Inc. All rights reserved.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Generalized Chebyshev iteration
- Optimal iteration parameters
- Localization of the spectrum
- Volume singular integral equations
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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