Optimized Schwarz Methods for the Diffusion-Reaction Problem with Cylindrical Interfaces

作者: Giacomo Gigante , Matteo Pozzoli , Christian Vergara

DOI: 10.1137/120887758

关键词:

摘要: In this work we consider the Optimized Schwarz Method for three-dimensional (3D) diffusion-reaction problem. particular, treat case of cylindrical interfaces between subdomains, and provide a convergence analysis method, both in Dirichlet interface conditions that general transmission conditions. This allows us to recover, latter case, optimal symbols conditions, which are supposed well geometries feature interfaces. Moreover, starting from these symbols, propose effective easily computable constant parameters, derived Taylor expansions an optimization procedure. We finally present several 3D numerical results aiming at validating theoretical findings.

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