Constantin Bacuta (University of Delaware)-Regularity and Discretization of Stokes type Systems

Mathematics - Colloquium

Thursday, October 8, 2009
4:00 PM-5:00 PM

Stratton Hall
202

ABSTRACT: We present a regularity result for the Stokes system on polygonal domains based on regularity for the biharmonic problem. Next, we provide an abstract framework for discretizing saddle point systems of Stokes type. We introduce new algorithms which combine the inexact Uzawa method at the continuous level with standard multilevel techniques. The discrete inf-sup or LBB stability condition might not be satisfied and a posteriori error estimates are required only for solutions of symmetric and positive definite problems. In the end we provide an application to solving first order systems and numerical results supporting the new approach.

Suggested Audiences: Adult, College

E-mail: ma-chair@wpi.edu

Last Modified: October 23, 2009 at 4:06 PM

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