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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
Full-text PDF (1560 kB) Citations (7)
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DOI: https://doi.org/10.7868/S0044466915080049
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
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  • https://www.mathnet.ru/eng/zvmmf10252
  • https://www.mathnet.ru/eng/zvmmf/v55/i8/p1380
    • This publication is cited in the following 7 articles:
    1. A. V. Vasyukov, I. B. Petrov, “Increasing the order of approximation for calculations of wave processes in a composite sample when using an unstructured computational grid”, J. Appl. Mech. Tech. Phys., 65:3 (2024), 528–535  mathnet  crossref  crossref  elib
    2. A. V. Vasyukov, I. E. Smirnov, “Grid-characteristic numerical method on an irregular grid with extending the interpolation stencil”, Comput. Math. Math. Phys., 63:10 (2023), 1751–1759  mathnet  mathnet  crossref  crossref
    3. S.R. Abulkhanov, O. V. Slesarev, Yu.S. Strelkov, I.M. Bayrikov, “Technology for high-sensitivity analysis of medical diagnostic images”, Sovrem. Tehnol. Med., 13:2 (2021), 6–15  crossref  isi
    4. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone”, Math. Models Comput. Simul., 12:5 (2020), 757–769  mathnet  crossref  crossref
    5. S. R. Abul'khanov, I. M. Bairikov, O. V. Slesarev, Yu. S. Strelkov, “Highly sensitive method for remote analysis of diagnostic images”, Optical Technologies For Telecommunications 2019, Proceedings of SPIE, 11516, eds. V. Andreev, A. Bourdine, V. Burdin, O. Morozov, A. Sultanov, SPIE-Int Soc Optical Engineering, 2020, 115161B  crossref  isi
    6. 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
    7. 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
    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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