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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 8, Pages 1380–1390 (Mi zvmmf10252)

This article is cited in 6 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

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.

UDC: 519.634

Received: 26.02.2015

DOI: 10.7868/S0044466915080049


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:8, 1346–1355

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© Steklov Math. Inst. of RAS, 2024