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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1380–1390
DOI: https://doi.org/10.7868/S0044466915080049
(Mi zvmmf10252)
 

This article is cited in 7 scientific papers (total in 7 papers)

Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method

K. A. Beklemyshevaa, A. V. Vasyukova, I. B. Petrovba

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b Institute of Numerical Mathematics, ul. Gubkina 8, Moscow, 119333, Russia
References:
Abstract: Results of the numerical simulation of mechanical processes occurring in biological tissues under dynamic actions are presented. The grid-characteristic method on unstructured grids is used to solve the system of equations of mechanics of deformable solids; this method takes into account the characteristic properties of the constitutive system of partial differential equations and produces adequate algorithms on interfaces between media and on the boundaries of integration domains.
Key words: mathematical modeling, parallel algorithms, grid-characteristic method, biomechanics, unstructured grids.
Received: 26.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1346–1355
DOI: https://doi.org/10.1134/S0965542515080047
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: K. A. Beklemysheva, A. V. Vasyukov, I. B. Petrov, “Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1380–1390; Comput. Math. Math. Phys., 55:8 (2015), 1346–1355
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v55/i8/p1380
  • This publication is cited in the following 7 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:66
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