Finite element methods for solving the stationary Stokes and Navier-Stokes equations

Pierre-Arnaud Raviart

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Displaying similar documents to “Finite element methods for solving the stationary Stokes and Navier-Stokes equations”

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In this article, we present a new two-level stabilized nonconforming finite elements method for the two dimensional Stokes problem. This method is based on a local Gauss integration technique and the mixed nonconforming finite element of the $N C P_{1} - P_{1}$ pair (nonconforming linear element for the velocity, conforming linear element for the pressure). The two-level stabilized finite element method involves solving a small stabilized Stokes problem on a coarse mesh with mesh size $H$ and a large stabilized...