Interior maximum norm estimates for finite element discretizations of the Stokes equations

Document Type

Article

Publication Date

1-1-2007

Abstract

Interior estimates are proved in the L ∞ norm for stable finite element discretizations of the Stokes equations on translation invariant meshes. These estimates yield information about the quality of the finite element solution in subdomains a positive distance from the boundary. While they have been established for second-order elliptic problems, these interior, or local, maximum norm estimates for the Stokes equations are new. By applying finite differenciation methods on a translation invariant mesh, we obtain optimal convergence rates in the mesh size h in the maximum norm. These results can be used for analyzing superconvergence in finite element methods for the Stokes equations. © 2007, Taylor & Francis Group, LLC.

Publication Title

International Journal of Phytoremediation

First Page Number

251

Last Page Number

260

DOI

10.1080/00036810601148240

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