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Zbl 1194.76120
He, Yinnian; Wang, Aiwen
A simplified two-level method for the steady Navier-Stokes equations. (English)
[J] Comput. Methods Appl. Mech. Eng. 197, No. 17-18, 1568-1576 (2008). ISSN 0045-7825

Summary: A simplified two-level method for solving the steady two-dimensional incompressible Navier-Stokes equations is investigated in this article. The simplified two-level method involves solving one small nonlinear Navier-Stokes problem on the coarse mesh and one linear Stokes problem (hence, linear with positive definite symmetric part) on the fine mesh. The uniform optimal error estimates with respect to large $\nu $ for the standard Galerkin method and the two-level method are proven. Finally, some numerically tests to confirm the theoretical results of the simplified two-level method and the standard Galerkin method are provided.

MSC 2000:: *76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)
65N30 Finite numerical methods (BVP of PDE)
76M10 Finite element methods

Keywords: Navier-Stokes equations; finite element method; two-level method

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Zentralblatt MATH Berlin [Germany]