Numerical solution to a stokes interface problem |
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Authors: | E. V. Chizhonkov |
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Affiliation: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia |
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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. |
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Keywords: | Stokes interface problem numerical solution algorithm for the generalized eigenvalue problem finite element method |
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