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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 8, Pages 1357–1366 (Mi zvmmf4916)  
This article is cited in 6 scientific papers (total in 6 papers)

On the convergence of the Uzawa method with a modified Lagrange functional for variational inequalities in mechanics

È. M. Vikhtenkoa, G. Vub, R. V. Namma

a Pacific Ocean State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035 Russia
b Changwon National University, Changwong, 641-773 South Korea
Full-text PDF (236 kB) Citations (6)
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Abstract: For the scalar semicoercive Signorini problem, the dual problem is constructed on the basis of a modified Lagrangian functional. The convergence of the gradient method as applied to solving the dual problem is examined.
Key words: variational inequality, Lagrangian functional, saddle point, gradient method, regularity of solution to variational inequality.
Received: 01.04.2009
Revised: 26.12.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 8, Pages 1289–1298
DOI: https://doi.org/10.1134/S0965542510080026
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: È. M. Vikhtenko, G. Vu, R. V. Namm, “On the convergence of the Uzawa method with a modified Lagrange functional for variational inequalities in mechanics”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1357–1366; Comput. Math. Math. Phys., 50:8 (2010), 1289–1298
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
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:56
    First page:7
     
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