Geodesic
Discontinuous Galerkin method for numerical simulation of dynamic processes in solids
Matematičeskoe modelirovanie, Tome 27 (2015) no. 3, pp. 96-108

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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
Mots-clés : destruction. 
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     author = {V. A. Miryaha and A. V. Sannikov and I. B. Petrov},
     title = {Discontinuous {Galerkin} method for numerical simulation of dynamic processes in solids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_3_a6/}
}
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V. A. Miryaha; A. V. Sannikov; I. B. Petrov. Discontinuous Galerkin method for numerical simulation of dynamic processes in solids. Matematičeskoe modelirovanie, Tome 27 (2015) no. 3, pp. 96-108. http://geodesic.mathdoc.fr/item/MM_2015_27_3_a6/