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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 1, Pages 24–34
(Mi zvmmf9634)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf9634 https://www.mathnet.ru/eng/zvmmf/v52/i1/p24
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Statistics & downloads: |
Abstract page: | 518 | Full-text PDF : | 186 | References: | 78 | First page: | 23 |
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