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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 1, Pages 24–34 (Mi zvmmf9634)  
This article is cited in 4 scientific papers (total in 4 papers)

Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method

N. N. Maksimova (Kushniruk)a, R. V. Nammb

a Amur State University, Ignat'evskoe sh. 21, Blagoveshchensk, 675027 Russia
b Pacific Ocean State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035 Russia
Full-text PDF (746 kB) Citations (4)
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Abstract: The convergence of the finite element method in a stable smoothing algorithm for solving a model problem with given friction based on an iterative proximal regularization of the modified Lagrangian functional is analyzed. Numerical results are presented.
Key words: semicoercive model problem with friction, modified Lagrangian functional, saddle point method, iterative proximal regularization, finite element method.
Received: 08.04.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 1, Pages 20–30
DOI: https://doi.org/10.1134/S0965542512010071
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: N. N. Maksimova (Kushniruk), R. V. Namm, “Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method”, Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012), 24–34; Comput. Math. Math. Phys., 52:1 (2012), 20–30
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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