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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 2, Pages 161–170 (Mi sjvm14)  
This article is cited in 7 scientific papers (total in 7 papers)

A regularization method for the stationary Maxwell equations in an inhomogeneous conducting medium

I. A. Kremera, M. V. Urevb

a "Tsentr RITM"
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (211 kB) Citations (7)
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Abstract: This paper considers a problem of defining the vector potential of a magnetic field with a non-standard calibration in an inhomogeneous conducting medium. The problem in question is the one with constraints on the right-hand side and on the solution itself. The generalized and regularized statement of this problem without constraints is proposed and substantiated. This statement of the problem is equivalent to the original generalized problem with constraints.
Key words: stationary Maxwell's equations, vector potential, saddle point problem, regularization, discontinuous coefficients.
Received: 28.10.2008
Revised: 07.11.2008
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 2, Pages 131–139
DOI: https://doi.org/10.1134/S1995423909020049
Bibliographic databases:
UDC: 519.632
Language: Russian
Citation: I. A. Kremer, M. V. Urev, “A regularization method for the stationary Maxwell equations in an inhomogeneous conducting medium”, Sib. Zh. Vychisl. Mat., 12:2 (2009), 161–170; Num. Anal. Appl., 2:2 (2009), 131–139
Citation in format AMSBIB
\Bibitem{KreUre09}
\by I.~A.~Kremer, M.~V.~Urev
\paper A regularization method for the stationary Maxwell equations in an inhomogeneous conducting medium
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 2
\pages 161--170
\mathnet{http://mi.mathnet.ru/sjvm14}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 2
\pages 131--139
\crossref{https://doi.org/10.1134/S1995423909020049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67650357961}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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