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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 2, Pages 68–78
(Mi uzku1307)
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This article is cited in 2 scientific papers (total in 2 papers)
Using domain decomposition method and non-matching grids for solving some variational inequalities
M. A. Ignatieva, A. V. Lapin Kazan (Volga Region) Federal University, Kazan, Russia
Abstract:
Finite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. Domain decomposition method and non-matching grids are used for the approximation. Splitting and Uzawa-type iterative methods are investigated for solving the approximated problems. Numerical comparison of their efficiency is carried out.
Keywords:
variational inequalities, finite difference approximation, domain decomposition, non-matching grids, iterative methods.
Received: 11.03.2015
Citation:
M. A. Ignatieva, A. V. Lapin, “Using domain decomposition method and non-matching grids for solving some variational inequalities”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 2, Kazan University, Kazan, 2015, 68–78
Linking options:
https://www.mathnet.ru/eng/uzku1307 https://www.mathnet.ru/eng/uzku/v157/i2/p68
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