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The method of Glowinski and Pironneaufor the unsteady stokes problem

✍ Scribed by L.K. Waters; G.J. Fix; C.L. Cox

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 1009 KB
Volume: 48
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.10.015

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✦ Synopsis

The unsteady Stokes problem, i.e., the Stokes problem with a constant multiple of the velocity included in the velocity-pressure equation, is often central to methods used to solve the nonstationary Navier-Stokes equations and the equations governing viscoelastic flows. The Glowinski-Pironneau finite-element method for the Stokes problem decomposes the problem into a series of Poisson's equations, providing a potentially ei~icient approach for large problems in two or three dimensions. The goal of this paper is to present a complete development and analysis of the Glowinski-Pironneau method for the unsteady Stokes problem, along with numerical results which confirm the analytical estimates. ~) 2004 Elsevier Ltd. All rights reserved.

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