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arXiv:1407.2767 [math.NA]AbstractReferencesReviewsResources

Convergence Analysis for a Finite Element Approximation of a Steady Model for Electrorheological Fluids

Luigi C. Berselli, Dominic Breit, Lars Diening

Published 2014-07-10, updated 2015-04-15Version 2

In this paper we study the finite element approximation of systems of $p(\cdot)$-Stokes type, where $p(\cdot)$ is a (non constant) given function of the space variables. We derive --in some cases optimal-- error estimates for finite element approximation of the velocity and of the pressure, in a suitable functional setting.

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