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Zbl 1166.76032
Zhu, Liping; He, Yinnian
Two-level Galerkin-Lagrange multipliers method for the stationary Navier-Stokes equations. (English)
[J] J. Comput. Appl. Math. 230, No. 2, 504-512 (2009). ISSN 0377-0427

Summary: We combine the Galerkin-Lagrange multiplier (GLM) method with the two-level method to solve stationary Navier-Stokes equations in order to avoid the time-consuming process and the construction of zero-divergence elements. Different quadrilateral partitions are used for approximating velocity and pressure. Then some error estimates are obtained, and some numerical results of the GLM method and two-level GLM method are given. The results show that the two-level method based on the GLM method is more efficient than the GLM method under the convergence rate of the same order.

MSC 2000:: *76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)
65N15 Error bounds (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)

Keywords: error estimate

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Zentralblatt MATH Berlin [Germany]