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Matematicheskoe modelirovanie, 2015, Volume 27, Number 3, Pages 96–108 (Mi mm3584)  
This article is cited in 20 scientific papers (total in 20 papers)

Discontinuous Galerkin method for numerical simulation of dynamic processes in solids

V. A. Miryaha, A. V. Sannikov, I. B. Petrov

Moscow Institute of Physics and Technology
Full-text PDF (845 kB) Citations (20)
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Abstract: The aim of this paper is applying of Discontinuous Galerkin Method to deformation and destruction problems of elastoplastic bodies as well as to hydroelastic problems. Two-sided crack model for destruction, Prandtl–Reuss elastoplastic model, dynamic contact of bodies, wave propagation through coupled elastic-acoustic media for marine seismology, comparison of reflected waves in fluid-filled and infinite thin crack models and underwater objects detection are described. Method was implemented for HPC infrastructure.
Keywords: Discontinuous Galerkin Method, mechanics of deformable solids, HPC, wave problems in coupled elastic-acoustic media, marine seismology, fluid-filled crack, dynamic contact of bodies, destruction.
Funding agency Grant number
Russian Science Foundation 14-11-00434
Received: 01.09.2014
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 5, Pages 446–455
DOI: https://doi.org/10.1134/S2070048215050087
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. A. Miryaha, A. V. Sannikov, I. B. Petrov, “Discontinuous Galerkin method for numerical simulation of dynamic processes in solids”, Matem. Mod., 27:3 (2015), 96–108; Math. Models Comput. Simul., 7:5 (2015), 446–455
Citation in format AMSBIB
\Bibitem{MirSanPet15}
\by V.~A.~Miryaha, A.~V.~Sannikov, I.~B.~Petrov
\paper Discontinuous Galerkin method for numerical simulation of dynamic processes in solids
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 3
\pages 96--108
\mathnet{http://mi.mathnet.ru/mm3584}
\elib{https://elibrary.ru/item.asp?id=23421485}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 5
\pages 446--455
\crossref{https://doi.org/10.1134/S2070048215050087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941913022}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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