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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 H1-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}
Linking options:
  • https://www.mathnet.ru/eng/timm1257
  • https://www.mathnet.ru/eng/timm/v22/i1/p36
    • This publication is cited in the following 5 articles:
    1. A. V. Zhiltsov, N. N. Maksimova, “Dvoistvennyi metod dlya resheniya zadachi o ravnovesii tela, soderzhaschego tonkii defekt”, Sib. zhurn. vychisl. matem., 26:2 (2023), 183–198  mathnet  crossref
    2. R. V. Namm, G. I. Tsoi, “Solution of a contact elasticity problem with a rigid inclusion”, Comput. Math. Math. Phys., 59:4 (2019), 659–666  mathnet  crossref  crossref  isi  elib
    3. R. V. Namm, G. I. Tsoy, “A modified dual scheme for solving an elastic crack problem”, Num. Anal. Appl., 10:1 (2017), 37–46  mathnet  crossref  crossref  mathscinet  isi  elib
    4. E. M. Vikhtenko, G. S. Vu, R. V. Namm, “Modifitsirovannaya skhema dvoistvennosti dlya zadach konechnomernoi i beskonechnomernoi vypukloi optimizatsii”, Dalnevost. matem. zhurn., 17:2 (2017), 158–169  mathnet  elib
    5. E. M. Vikhtenko, R. V. Namm, M. V. Chervyakova, “Metod dvoistvennosti dlya resheniya modelnoi zadachi s treschinoi”, Dalnevost. matem. zhurn., 16:2 (2016), 137–146  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :110
    References:66
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