Numerical solution to a stokes interface problem

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 proble...

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Vydáno v:Computational mathematics and mathematical physics Ročník 49; číslo 1; s. 105 - 116
Hlavní autor: Chizhonkov, E. V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht SP MAIK Nauka/Interperiodica 01.01.2009
Springer Nature B.V
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ISSN:0965-5425, 1555-6662
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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.
AbstractList 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.
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.[PUBLICATION ABSTRACT]
Author Chizhonkov, E. V.
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  organization: Faculty of Mechanics and Mathematics, Moscow State University
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Cites_doi 10.1007/s002110200395
10.1016/0021-9991(92)90240-Y
10.1051/m2an:2000110
10.1007/s00211-005-0646-x
10.1006/jcph.2000.6636
10.1007/s002110050336
10.1016/S1570-8659(05)80042-0
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Keywords numerical solution algorithm for the generalized eigenvalue problem
finite element method
Stokes interface problem
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Snippet A numerical algorithm is described for solving the generalized eigenvalue problem arising in the study of the spectrum of a preconditioned operator in the...
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StartPage 105
SubjectTerms Algorithms
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Eigenvalues
Fluid flow
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Operators
Studies
Velocity
Viscosity
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Title Numerical solution to a stokes interface problem
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Volume 49
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