Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions

Yuan Li and Rong An

Abstract and Applied Analysis, 2013, vol. 2013, 1-17

Abstract:

This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions. The basic idea is to solve the Navier-Stokes type variational inequality problem on a coarse mesh with mesh size in combining with solving a Stokes, Oseen, or linearized Navier-Stokes type variational inequality problem for Stokes, Oseen, or Newton iteration on a fine mesh with mesh size . The error estimate obtained in this paper shows that if , , and can be chosen appropriately, then these two-level iteration penalty methods are of the same convergence orders as the usual one-level iteration penalty method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:125139

DOI: 10.1155/2013/125139

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