A simplified two-level method for the steady NavierStokes equations ?
A simplified two-level method for solving the steady two-dimensional incompressible NavierStokes equations is investigated in this article. The simplified two-level method involves solving one small nonlinear NavierStokes 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 ? ? 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.
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