Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 1, Pages 35–44 (Mi vngu66)  
A Regularization Method for the Quasi-Stationary Maxwell Problem 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, Novosibirsk
Full-text PDF (235 kB) English version article
References:
PDF
HTML
Abstract: We consider the quasi-stationary Maxwell problem of defining a vector potential of a magnetic field with a non-standard gauging condition in an inhomogeneous conducting medium. The problem in question is the one with constraints on the right-hand side and on the solution itself. A generalized and regularized statement of this problem without constraints is proposed and substantiated. Such a problem statement is equivalent to the original generalized problem with constraints.
Keywords: quasistationary Maxwell's equations, vector potential, saddle point problem, regularization, discontinuous coefficients.
Received: 19.04.2010
English version:
Journal of Mathematical Sciences, 2013, Volume 188, Issue 4, Pages 378–386
DOI: https://doi.org/10.1007/s10958-012-1135-2
Document Type: Article
UDC: 519.632
Language: Russian
Citation: I. A. Kremer, M. V. Urev, “A Regularization Method for the Quasi-Stationary Maxwell Problem in an Inhomogeneous Conducting Medium”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:1 (2011), 35–44; J. Math. Sci., 188:4 (2013), 378–386
Citation in format AMSBIB
\Bibitem{KreUre11}
\by I.~A.~Kremer, M.~V.~Urev
\paper A Regularization Method for the Quasi-Stationary Maxwell Problem in an Inhomogeneous Conducting Medium
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 1
\pages 35--44
\mathnet{http://mi.mathnet.ru/vngu66}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 188
\issue 4
\pages 378--386
\crossref{https://doi.org/10.1007/s10958-012-1135-2}
Linking options:
  • https://www.mathnet.ru/eng/vngu66
  • https://www.mathnet.ru/eng/vngu/v11/i1/p35
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
    Statistics & downloads:
    Abstract page:420
    Full-text PDF :141
    References:117
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025