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Article

Burda, Pavel ; Novotný, Jaroslav ; Šístek, Jakub
Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 43-54
MSC: 35Q30, 76D05, 76D06, 76M10 | MR 3204399 | Zbl 1313.76035
Keywords:
Navier-Stokes equations; corner singularities; finite element method; numerical results
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.
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