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Title: Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision (English)
Author: Burda, Pavel
Author: Novotný, Jaroslav
Author: Šístek, Jakub
Language: English
Journal: Applications of Mathematics 2012
Volume: Proceedings. Prague, May 2-5, 2012
Issue: 2012
Pages: 43-54
Category: math
Summary: We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution. (English)
Keyword: Navier-Stokes equations
Keyword: corner singularities
Keyword: finite element method
Keyword: numerical results
MSC: 35Q30
MSC: 76D05
MSC: 76D06
MSC: 76M10
idZBL: Zbl 1313.76035
idMR: MR3204399
Date available: 2017-02-14T08:57:59Z
Last updated: 2017-04-13
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