Abstract
We discuss the solution by a preconditioned conjugate gradient algorithm of a Stokes problem with Robin-type boundary conditions. This Stokes problem is encountered when applying an appropriate operator-splitting scheme to the time-discretization of a system modeling the interaction of an incompressible viscous fluid with a deformable thin elastic structure. The main contribution of this Note is the identification of a preconditioner operating in the pressure space that reduces substantially the number of iterations when compared to a conjugate gradient algorithm equipped with the canonical scalar product of L 2 . The results of numerical experiments show the validity of our approach. To cite this article: R. Glowinski, G. Guidoboni, C. R. Acad. Sci. Paris, Ser. I 347 (2009).
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