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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 111–122 (Mi zvmmf56)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution to a stokes interface problem

E. V. Chizhonkov

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (1484 kB) Citations (2)
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Abstract: A numerical algorithm is described for solving the generalized eigenvalue problem arising in the study of the spectrum of a preconditioned operator in the pressure equation derived from a Stokes interface problem. The algorithm is implemented for two finite element schemes. It is tested for a problem with an analytical solution and is applied to spectrum computations in the case of a piecewise constant viscosity. A large number of numerical experiments are analyzed, and recommendations are given for solving the Stokes interface problem in practice.
Key words: Stokes interface problem, numerical solution algorithm for the generalized eigenvalue problem, finite element method.
Received: 04.07.2007
Revised: 15.04.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 1, Pages 105–116
DOI: https://doi.org/10.1134/S0965542509010084
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. V. Chizhonkov, “Numerical solution to a stokes interface problem”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 111–122; Comput. Math. Math. Phys., 49:1 (2009), 105–116
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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