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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 805–814
(Mi zvmmf4686)
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This article is cited in 6 scientific papers (total in 6 papers)
Solving the quasi-variational Signorini inequality by the method of successive approximations
R. V. Namm, S. A. Sachkov Pacific Ocean State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035, Russia
Abstract:
The method of successive approximations is examined as a tool for solving the semicoercive quasi-variational Signorini inequality. The auxiliary problems with given friction arising at each step of this method are solved using the Uzawa method with an iterative proximal regularization of the modified Lagrangian functional.
Key words:
Contact problem in elasticity theory, Lagrangian functional, saddle point, Uzawa method, proximal regularization.
Received: 29.08.2008
Citation:
R. V. Namm, S. A. Sachkov, “Solving the quasi-variational Signorini inequality by the method of successive approximations”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 805–814; Comput. Math. Math. Phys., 49:5 (2009), 776–785
Linking options:
https://www.mathnet.ru/eng/zvmmf4686 https://www.mathnet.ru/eng/zvmmf/v49/i5/p805
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Abstract page: | 400 | Full-text PDF : | 188 | References: | 36 | First page: | 3 |
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