Optimized Schwarz Method for the Fluid-Structure Interaction with Cylindrical Interfaces
The Optimized Schwarz Method (OSM) is a domain decomposition method based on the introduction of generalized Robin interface conditions obtained by linearly combining the two physical interface conditions through the introduction of suitable symbols, and then on the optimization of such symbols within a proper subset, see [10, 13]. This method has been considered so far for many problems in the case of flat interfaces, see, e.g., [3, 5–7, 11, 16, 17]. Recently, OSM has been considered and analyzed for the case of cylindrical interfaces in [8, 9], and for the case of circular interfaces in . In particular, in  we developed a general convergence analysis of the Schwarz method for elliptic problems and an optimization procedure within the constants, with application to the fluid-structure interaction (FSI) problem.
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