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

This article is cited in 3 scientific papers (total in 3 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.

DOI: https://doi.org/10.7868/S0044466915080049

Full text: PDF file (1560 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:8, 1346–1355

Bibliographic databases:

UDC: 519.634
Received: 26.02.2015

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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    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. A. V. Favorskaya, “Interpolation on unstructured triangular grids”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 7–44  crossref  mathscinet  isi  scopus
    2. A. V. Favorskaya, “Piecewise linear interpolation on unstructured tetrahedral grids”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 75–115  crossref  mathscinet  isi  scopus
    3. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Kompleks ob'edinennykh modelei transporta nanosov i vzvesei s uchetom trekhmernykh gidrodinamicheskikh protsessov v pribrezhnoi zone”, Matem. modelirovanie, 32:2 (2020), 3–23  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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