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Two-level Galerkin-Lagrange multipliers method for the stationary Navier-Stokes equations. (English) Zbl 1166.76032
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.

76M10Finite element methods (fluid mechanics)
76D05Navier-Stokes equations (fluid dynamics)
65N15Error bounds (BVP of PDE)
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
Full Text: DOI
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