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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 8, Pages 1429–1443 (Mi zvmmf10256)  

This article is cited in 9 scientific papers (total in 9 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

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.

DOI: https://doi.org/10.7868/S0044466915080104

Full text: PDF file (1979 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:8, 1393–1406

Bibliographic databases:

UDC: 519.634
Received: 09.02.2015

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. P. Galanin, P. V. Gliznutsina, V. V. Lukin, A. S. Rodin, “Varianty realizatsii metoda mnozhitelei Lagranzha dlya resheniya dvumernykh kontaktnykh zadach”, Preprinty IPM im. M. V. Keldysha, 2015, 089, 27 pp.  mathnet
    2. P. V. Gliznutsina, V. V. Lukin, A. S. Rodin, “Realizatsiya usloviya mekhanicheskogo kontakta uprugikh tel v ramkakh MKE pri razlichnom vybore bazisnykh funktsii: odnomernyi sluchai”, Preprinty IPM im. M. V. Keldysha, 2015, 090, 25 pp.  mathnet
    3. A. S. Karavaev, S. P. Kopysov, “Poshagovyi kontaktnyi algoritm na osnove metoda dekompozitsii Shvartsa dlya deformiruemykh tel”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:3 (2017), 396–413  mathnet  crossref  elib
    4. A. S. Rodin, “Reshenie zadachi kontakta dvukh uprugikh tel metodom Shvartsa pri ispolzovanii setok s suschestvenno otlichayuschimisya shagami”, Preprinty IPM im. M. V. Keldysha, 2017, 120, 28 pp.  mathnet  crossref
    5. M. P. Galanin, V. T. Zhukov, N. V. Klushnev, V. V. Lukin, A. S. Rodin, “On the solving of conjugate problems for definition of parameters of wrap and heat exchange between elements of constructions”, Math. Montisnigri, 39 (2017), 5–17  mathscinet  isi
    6. M. P. Galanin, P. V. Gliznutsina, V. V. Lukin, A. S. Rodin, “Investigation of influence of iteration parameters on convergence of Schwartz method for problem solution of elastic bodies contact”, Math. Montisnigri, 41 (2018), 33–54  isi
    7. M. P. Galanin, N. N. Proshunin, A. S. Rodin, “Chislennoe reshenie dinamicheskoi zadachi kontakta uprugoplasticheskikh tel”, Preprinty IPM im. M. V. Keldysha, 2018, 139, 31 pp.  mathnet  crossref  elib
    8. M. P. Galanin, V. V. Lukin, A. S. Rodin, “Use of various versions of Schwarz method for solving the problem of contact interaction of elastic bodies”, 5th International Conference on Topical Problems of Continuum Mechanics With a Special Session in Honor of Alexander Manzhirov's 60th Birthday, Journal of Physics Conference Series, 991, IOP Publishing Ltd, 2018, 012021  crossref  isi  scopus
    9. V. V. Lukin, P. V. Solomentseva, “Modifikatsiya metoda mnozhitelei Lagranzha s nezavisimoi kontaktnoi granitsei dlya modelirovaniya kontakta uprugikh tel”, Preprinty IPM im. M. V. Keldysha, 2020, 070, 26 pp.  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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