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Matematicheskoe modelirovanie, 2010, Volume 22, Number 10, Pages 56–68 (Mi mm3028)  
Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems

L. A. Krukier, O. A. Pichugina, T. S. Martynova

Southern Federal University
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Abstract: An effective algorithm for implementing the mathematical model of convective-diffusive transport with a dominant convection is proposed. Preconditioned Krylov subspace methods are used for the solution of a strongly nonsymmetric systems. A convergence analysis of product triangular preconditioners was made. Numerical experiments have confirmed the effectiveness of this technique.
Keywords: convection-diffusion equation, variational methods, triangular and product triangular preconditioners, convergence.
Received: 21.07.2009
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 3, Pages 346–356
DOI: https://doi.org/10.1134/S2070048211030069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Krukier, O. A. Pichugina, T. S. Martynova, “Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems”, Matem. Mod., 22:10 (2010), 56–68; Math. Models Comput. Simul., 3:3 (2011), 346–356
Citation in format AMSBIB
\Bibitem{KruPicMar10}
\by L.~A.~Krukier, O.~A.~Pichugina, T.~S.~Martynova
\paper Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 10
\pages 56--68
\mathnet{http://mi.mathnet.ru/mm3028}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2809074}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 3
\pages 346--356
\crossref{https://doi.org/10.1134/S2070048211030069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928981051}
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    		Математическое моделирование
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