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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 36–43 (Mi timm1257)  
This article is cited in 5 scientific papers (total in 5 papers)

On the dual method for a model problem with a crack

E. M. Vikhtenkoa, R. V. Nammb

a Pacific National University, Khabarovsk
b Computer Centre of Far Eastern Branch RAS
Full-text PDF (183 kB) Citations (5)
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Abstract: The dual method based on a modified Lagrangian functional is applied to a model problem with a crack. The convergence of the method is investigated under the assumption that the solution of the primal problem is $H^1$-regular. The duality relation is established for the primal and dual problems.
Keywords: model problem with a crack, dual method, modified Lagrangian functional, sensitivity functional.
Received: 30.04.2015
Bibliographic databases:
Document Type: Article
UDC: 519.624.8
Language: Russian
Citation: E. M. Vikhtenko, R. V. Namm, “On the dual method for a model problem with a crack”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 36–43
Citation in format AMSBIB
\Bibitem{VikNam16}
\by E.~M.~Vikhtenko, R.~V.~Namm
\paper On the dual method for a model problem with a crack
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 1
\pages 36--43
\mathnet{http://mi.mathnet.ru/timm1257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3497181}
\elib{https://elibrary.ru/item.asp?id=25655592}
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  • https://www.mathnet.ru/eng/timm/v22/i1/p36
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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