A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation
نویسنده
چکیده
In this paper, we consider the well known Morley nonconforming element approximation of a nonlinear biharmonic equation which is related to the well-known two-dimensional Navier–Stokes equations. Firstly, optimal energy and H1-norm estimates are obtained. Secondly, a two-level additive Schwarz method is presented for the discrete nonlinear algebraic system. It is shown that if the Reynolds number is sufficiently small, the two-level Schwarz method is optimal, i.e. the convergence rate of the Schwarz method is independent of the mesh size and the number of subdomains.
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Two-level additive Schwarz preconditioners for nonconforming finite element methods
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