Uzawa Conjugate Gradient Domain Decomposition Methods for Coupled Stokes Flows

Authors:
Jonas Koko
Affiliations:
LIMOS, UMR 6158 CNRS---Université Blaise Pascal, ISIMA, cedex, France F---63173
Venue:
Journal of Scientific Computing
Year:
2006

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Abstract

This paper deals with nonoverlapping domain decomposition methods for two coupled Stokes flows, based on the duality theory. By introducing a fictitious variable in the transmission condition and using saddle-point equations, the problem is restated as a linearly constrained maximization problem. According to whether constraints are uncoupled Stokes problems or uncoupled Poisson problems, two Uzawa-type domain decomposition algorithms are proposed. The results of some numerical experiments on a model problem are given.