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arXiv:1012.4982 [math.NA]AbstractReferencesReviewsResources

On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type

Takahito Kashiwabara

Published 2010-12-22Version 1

A finite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary condition of friction type, is considered. We propose an approximate problem formulated by a variational inequality, prove an existence and uniqueness result, present an error estimate, and discuss a numerical realization using an iterative Uzawa-type method. Several numerical examples are provided to support our theoretical results.

Comments: 33 pages
Categories: math.NA
Subjects: 65N30, 35Q30, 35J87
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