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...

Celý popis

Uloženo v:
Podrobná bibliografie
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
Témata:
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
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí: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.
Bibliografie:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542509010084