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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 8, Pages 1357–1366
(Mi zvmmf4916)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf4916 https://www.mathnet.ru/eng/zvmmf/v50/i8/p1357
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