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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 381–396
(Mi sjvm450)
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This article is cited in 6 scientific papers (total in 6 papers)
Iterative proximal regularization of a modified Lagrangian functional for solving a semicoercive model problem with friction
N. N. Kushniruka, R. V. Nammb a Amur State University, Blagoveshchensk
b Pacific National University, Khabarovsk
Abstract:
A problem of unconstrained minimization of a semicoercive nondifferentiable functional corresponding to a model friction problem is reduced to a problem of constrained minimization of a differentiable functional. An algorithm based on an iterative proximal regularization of a modified Lagrangian functional is used for solving the problem thus obtained. Convergence of a finite element solution is investigated. The results of numerical calculation are presented.
Key words:
semicoercive friction problem, modified Lagrangian functional, saddle point, Udzava method, iterative proximal regularization, finite element method.
Received: 12.11.2010 Revised: 12.01.2011
Citation:
N. N. Kushniruk, R. V. Namm, “Iterative proximal regularization of a modified Lagrangian functional for solving a semicoercive model problem with friction”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 381–396; Num. Anal. Appl., 4:4 (2011), 319–332
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https://www.mathnet.ru/eng/sjvm450 https://www.mathnet.ru/eng/sjvm/v14/i4/p381
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Abstract page: | 449 | Full-text PDF : | 122 | References: | 69 | First page: | 16 |
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