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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Bibliographic Details
Published in:Computational mathematics and mathematical physics Vol. 49; no. 1; pp. 105 - 116
Main Author: Chizhonkov, E. V.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.01.2009
Springer Nature B.V
Subjects:
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
numerical solution algorithm for the generalized eigenvalue problem
finite element method
Stokes interface problem
ISSN:0965-5425, 1555-6662
Online Access:Get full text
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Summary: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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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542509010084