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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1429–1443
DOI: https://doi.org/10.7868/S0044466915080104 (Mi zvmmf10256) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Application of the Schwarz alternating method for simulating the contact interaction of a system of bodies

M. P. Galanin, V. V. Lukin, A. S. Rodin, I. V. Stankevich

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
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DOI: https://doi.org/10.7868/S0044466915080104
Abstract: A numerical algorithm for simulating the multicontact thermoelastic interaction of a system of many bodies is developed. The algorithm is based on the iterative Schwarz alternating method modified for the class of problems under consideration. The nonlinear differential problem in question is discretized using the finite element method. Numerical results are presented, including the thermomechanical interaction of 350 bodies.
Key words: multicontact interaction, contact problem, finite element method, computational platform, Schwarz alternating method.
Received: 09.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1393–1406
DOI: https://doi.org/10.1134/S0965542515080102
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. P. Galanin, V. V. Lukin, A. S. Rodin, I. V. Stankevich, “Application of the Schwarz alternating method for simulating the contact interaction of a system of bodies”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1429–1443; Comput. Math. Math. Phys., 55:8 (2015), 1393–1406
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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