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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 2, Pages 223–233
DOI: https://doi.org/10.15372/SJNM20160208 (Mi sjvm614) 		 
This article is cited in 16 scientific papers (total in 16 papers)

The study of increased order grid-characteristic methods on unstructured grids

A. V. Favorskaya, I. B. Petrov

Moscow Institute of Physics and Technology (State University), 9 Inststitutskii per., Dolgoprudny, Moscow region, 141700, Russia
Full-text PDF (396 kB) Citations (16)
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DOI: https://doi.org/10.15372/SJNM20160208
Abstract: We study the grid-characteristic methods for solving hyperbolic systems using a high order interpolation on unstructured tetrahedral and triangular grids for approximation. We consider the interpolation with orders from the first to the fifth included. Also, one-dimensional finite difference schemes appropriate for the considered methods are given. We study these schemes in terms of stability. The grid-characteristic method on unstructured triangular and tetrahedral grids are successfully used for solving the seismic prospecting problems, including, seismic prospecting in the conditions of the Arctic shelf and permafrost, as well as for solving seismic problems, problems of dynamic deformation and destruction, studying anisotropic composite materials.
Key words: grid-characteristic method, numerical simulation, unstructured grids, high order interpolation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.575.21.0084
Received: 06.02.2015
Revised: 13.05.2015
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 2, Pages 171–178
DOI: https://doi.org/10.1134/S1995423916020087
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Favorskaya, I. B. Petrov, “The study of increased order grid-characteristic methods on unstructured grids”, Sib. Zh. Vychisl. Mat., 19:2 (2016), 223–233; Num. Anal. Appl., 9:2 (2016), 171–178
Citation in format AMSBIB
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