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Matematicheskoe modelirovanie, 2011, Volume 23, Number 1, Pages 115–131 (Mi mm3068)  
This article is cited in 9 scientific papers (total in 9 papers)

Multigrid for finite-element discretizations of the equations of aerodynamics

V. T. Zhukov, O. B. Feodoritova

Keldysh Institute of Applied Mathematics, Moscow, Russia
Full-text PDF (324 kB) Citations (9)
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Abstract: A multigrid algorithm for the solution of finite element stabilized discretization of compressible fluid dynamics equations on unstructured grids is described. Solution of the stationary problems is seached by time-stepping and a linearization of the non-linear discrete systems leads to a very large system of linear equations. These systems are ill-conditioned and require efficient computational procedures. The numerical experiments for Navier–Stokes and Euler systems are presented. The method can be easily included in a parallel library as preconditioner.
Keywords: multigrid, preconditioner, finite-element method, unstructured grids.
Received: 26.04.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 4, Pages 446–456
DOI: https://doi.org/10.1134/S2070048211040144
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. T. Zhukov, O. B. Feodoritova, “Multigrid for finite-element discretizations of the equations of aerodynamics”, Mat. Model., 23:1 (2011), 115–131; Math. Models Comput. Simul., 3:4 (2011), 446–456
Citation in format AMSBIB
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\by V.~T.~Zhukov, O.~B.~Feodoritova
\paper Multigrid for finite-element discretizations of the equations of aerodynamics
\jour Mat. Model.
\yr 2011
\vol 23
\issue 1
\pages 115--131
\mathnet{http://mi.mathnet.ru/mm3068}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848795}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 4
\pages 446--456
\crossref{https://doi.org/10.1134/S2070048211040144}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925956181}
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  • https://www.mathnet.ru/eng/mm3068
  • https://www.mathnet.ru/eng/mm/v23/i1/p115
    • This publication is cited in the following 9 articles:
    1. A. V. Gorobets, S. A. Soukov, A. R. Magomedov, “Heterogeneous parallel implementation of a multigrid method with full approximation in the NOISETTE code”, Matem. Mod., 36:2 (2024), 129–146  mathnet  mathnet  crossref
    2. A. V. Gorobets, S. A. Soukov, A. R. Magomedov, “Heterogeneous Parallel Implementation of a Multigrid Method with Full Approximation in the Noisette Code”, Math Models Comput Simul, 16:4 (2024), 609  crossref
    3. A. V. Gorobets, “An approach to the implementation of the multigrid method with full approximation for CFD problems”, Comput. Math. Math. Phys., 63:11 (2023), 2150–2161  mathnet  mathnet  crossref  crossref
    4. V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Multigrid method for elliptic equations with anisotropic discontinuous coefficients”, Comput. Math. Math. Phys., 55:7 (2015), 1150–1163  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    5. V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Parallel multigrid method for solving elliptic equations”, Math. Models Comput. Simul., 6:4 (2014), 425–434  mathnet  crossref
    6. Zhukov V.T., Novikova N.D., Feodoritova O.B., “Parallelnyi mnogosetochnyi metod dlya raznostnykh ellipticheskikh uravnenii. Chast I. Osnovnye elementy algoritma”, Preprinty IPM im. M.V. Keldysha, 2012, no. 30, 1–32  mathscinet  zmath  elib
    7. Zhukov V.T., Novikova N.D., Feodoritova O.B., “Parallelnyi mnogosetochnyi metod dlya raznostnykh ellipticheskikh uravnenii. Anizotropnaya diffuziya”, Preprinty IPM im. M.V. Keldysha, 2012, no. 76, 1–36  elib
    8. V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Parallelnyi mnogosetochnyi metod dlya raznostnykh ellipticheskikh uravnenii. \Chast I. Osnovnye elementy algoritma”, Preprinty IPM im. M. V. Keldysha, 2012, 030, 32 pp.  mathnet
    9. V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Parallelnyi mnogosetochnyi metod dlya raznostnykh ellipticheskikh uravnenii. Anizotropnaya diffuziya”, Preprinty IPM im. M. V. Keldysha, 2012, 076, 36 pp.  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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