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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 137–146 (Mi dvmg328)  
Duality method for solving model crack problem

E. M. Vikhtenkoa, R. V. Nammab, M. V. Chervyakovaa

a Pacific National University, Khabarovsk
b Computer Centre of Far Eastern Branch RAS
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Abstract: We consider the duality method based on the use of modified Lagrangian functional for solving a model of elastic problem with a crack. An article presents the theorems, allowing to use Uzawa method for search a saddle point of the modified Lagrangian functional. The results of numerical experiments are given.
Key words: model problem with a crack, variational inequality, modified Lagrangian functional, Uzawa method, finite element method.
Funding agency Grant number
Тихоокеанский государственный университет 3.16 - НГ ТОГУ
Received: 10.06.2016
Bibliographic databases:
Document Type: Article
UDC: 519.6
MSC: Primary 65K15; Secondary 74P10
Language: Russian
Citation: E. M. Vikhtenko, R. V. Namm, M. V. Chervyakova, “Duality method for solving model crack problem”, Dal'nevost. Mat. Zh., 16:2 (2016), 137–146
Citation in format AMSBIB
\Bibitem{VikNamChe16}
\by E.~M.~Vikhtenko, R.~V.~Namm, M.~V.~Chervyakova
\paper Duality method for solving model crack problem
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 2
\pages 137--146
\mathnet{http://mi.mathnet.ru/dvmg328}
\elib{https://elibrary.ru/item.asp?id=27700998}
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