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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 805–814 (Mi zvmmf4686)  
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
Full-text PDF (1058 kB) Citations (6)
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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
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 5, Pages 776–785
DOI: https://doi.org/10.1134/S0965542509050042
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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