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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 2, Pages 183–194
DOI: https://doi.org/10.15372/SJNM20160205 (Mi sjvm611) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Parallel algorithms and domain decomposition technologies for solving three-dimensional boundary value problems on quasi-structured grids

V. D. Korneevab, V. M. Sveshnikovab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
Full-text PDF (946 kB) Citations (6)
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DOI: https://doi.org/10.15372/SJNM20160205
Abstract: A new approach to the decomposition method of a three-dimensional computational domain into subdomains, adjoint without overlapping, which is based on a direct approximation of the Poincare-Steklov equation at the conjugation interface, is proposed. With the use of this approach, parallel algorithms and technologies for three-dimensional boundary value problems on quasi-structured grids are presented. The experimental evaluation of the parallelization efficiency on the solution of the model problem on quasi-structured parallelepipedal coordinated and uncoordinated grids is given.
Key words: boundary value problems, domain decomposition methods, Poincare-Steklov equation, quasistructured grids, algorithms and technologies of parallelization.
Funding agency Grant number
Russian Science Foundation 14-11-00485
Russian Foundation for Basic Research 16-01-00168
Received: 08.04.2015
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 2, Pages 141–149
DOI: https://doi.org/10.1134/S1995423916020051
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. D. Korneev, V. M. Sveshnikov, “Parallel algorithms and domain decomposition technologies for solving three-dimensional boundary value problems on quasi-structured grids”, Sib. Zh. Vychisl. Mat., 19:2 (2016), 183–194; Num. Anal. Appl., 9:2 (2016), 141–149
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sjvm/v19/i2/p183
    • This publication is cited in the following 6 articles:
    1. Il. A. Klimonov, V. D. Korneev, V. M. Sveshnikov, “Estimates of CPU Load Unbalancing in Parallelizing Solutions of 3D Boundary Value Problems on Quasi-Structured Grids”, Numer. Analys. Appl., 17:1 (2024), 51  crossref
    2. I. A. Klimonov, V. M. Sveshnikov, “Experimental Study of Some Solvers of 3D Boundary Value Subproblems on Regular Subgrids of Quasi-Structured Parallelepipedal Grids”, Numer. Analys. Appl., 15:4 (2022), 353  crossref
    3. A. Furtsev, H. Itou, E. Rudoy, “Modeling of bonded elastic structures by a variational method: theoretical analysis and numerical simulation”, Int. J. Solids Struct., 182 (2020), 100–111  crossref  isi  scopus
    4. V. M. Sveshnikov, A. O. Savchenko, A. V. Petukhov, “A new non-overlapping domain decomposition method for the 3-D Laplace exterior problem”, Num. Anal. Appl., 11:4 (2018), 346–358  mathnet  crossref  crossref  isi  elib
    5. N. A. Kazarinov, E. M. Rudoy, V. Yu. Slesarenko, V. V. Shcherbakov, “Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion”, Comput. Math. Math. Phys., 58:5 (2018), 761–774  mathnet  crossref  crossref  isi  elib
    6. E. M. Rudoy, N. P. Lazarev, “Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam”, J. Comput. Appl. Math., 334 (2018), 18–26  crossref  mathscinet  zmath  isi  scopus
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