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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 12, Pages 1785–1796 (Mi zvmmf3161)  
Non-local radiation conditions for the time-dependent Maxwell equations

A. R. Maikov, A. G. Sveshnikov, S. A. Yakunin

Moscow
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Abstract: Exact radiation conditions are proposed and proved for the time-dependent system of Maxwell equations, which describe the field in an unbounded domain with compact boundary and local sources. The conditions are specified on a sphere of finite, fixed radius, outside which the medium is an inhomogeneous dielectric. It is shown that the exact conditions may be reduced to approximate conditions, which are more convenient for numerical experimentation over large time intervals.
Received: 14.02.1990
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 6, Pages 133–141
DOI: https://doi.org/10.1016/0041-5553(90)90121-8
Bibliographic databases:
Document Type: Article
UDC: 517.958:535.4
MSC: 35Q60
Language: Russian
Citation: A. R. Maikov, A. G. Sveshnikov, S. A. Yakunin, “Non-local radiation conditions for the time-dependent Maxwell equations”, Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990), 1785–1796; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 133–141
Citation in format AMSBIB
\Bibitem{MaiSveYak90}
\by A.~R.~Maikov, A.~G.~Sveshnikov, S.~A.~Yakunin
\paper Non-local radiation conditions for the time-dependent Maxwell equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 12
\pages 1785--1796
\mathnet{http://mi.mathnet.ru/zvmmf3161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1099144}
\zmath{https://zbmath.org/?q=an:0737.35124}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 6
\pages 133--141
\crossref{https://doi.org/10.1016/0041-5553(90)90121-8}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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