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Uzawa Conjugate Gradient Domain Decomposition Methods for Coupled Stokes Flows

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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.

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Authors and Affiliations

  1. LIMOS, UMR 6158 CNRS–Université Blaise Pascal, ISIMA, Campus des Cézeaux, BP 10125, F–63173, Aubière, cedex, France

    Jonas Koko

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  1. Jonas Koko
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Correspondence to Jonas Koko.

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Koko, J. Uzawa Conjugate Gradient Domain Decomposition Methods for Coupled Stokes Flows. J Sci Comput 26, 195–216 (2006). https://doi.org/10.1007/s10915-005-4933-6

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  • DOI: https://doi.org/10.1007/s10915-005-4933-6

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