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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 111–122
(Mi zvmmf56)
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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
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
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
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https://www.mathnet.ru/eng/zvmmf56 https://www.mathnet.ru/eng/zvmmf/v49/i1/p111
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Abstract page: | 457 | Full-text PDF : | 152 | References: | 69 | First page: | 14 |
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