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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 308–316
DOI: https://doi.org/10.17377/semi.2017.14.028 (Mi semr787) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computational mathematics

Numerical solution of the inverse Cauchy problem for the elliptic equation

G. A. Prokopev, V. I. Vasil'ev, A. M. Kardashevsky, P. V. Sivsev

North-Eastern Federal University, 58 Belinsky str, 670000, Yakutsk, Republic of Sakha (Yakutia), Russia
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DOI: https://doi.org/10.17377/semi.2017.14.028
Abstract: This paper is interested at the Cauchy problem for Laplace's equation, which is to recover Dirichlet condition on the accessible part of the domain from additional conditions on the other part of domain. To solve this kind of ill-posed problem, we use a variational iterative method. Also, a direct method for numerical solution of the inverse boundary value problem is presented.
Keywords: inverse problem, ill-posed problem, Laplace equation, iterative method, direct method, difference scheme.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00732_а
Ministry of Education and Science of the Russian Federation 14.Y26.31.0013
Received November 11, 2016, published April 4, 2017
Bibliographic databases:
Document Type: Article
UDC: 519.632
MSC: 65N21
Language: Russian
Citation: G. A. Prokopev, V. I. Vasil'ev, A. M. Kardashevsky, P. V. Sivsev, “Numerical solution of the inverse Cauchy problem for the elliptic equation”, Sib. Èlektron. Mat. Izv., 14 (2017), 308–316
Citation in format AMSBIB
\Bibitem{ProVasKar17}
\by G.~A.~Prokopev, V.~I.~Vasil'ev, A.~M.~Kardashevsky, P.~V.~Sivsev
\paper Numerical solution of the inverse Cauchy problem for the elliptic equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 308--316
\mathnet{http://mi.mathnet.ru/semr787}
\crossref{https://doi.org/10.17377/semi.2017.14.028}
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    Citing articles in Google Scholar: Russian citations, English citations
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