Converted from
past_seminars/cam_colloquium/abstracts/XX1104.pdf(PDF). Mathematical notation is approximate — it comes from text extraction, not from the typeset source.
LSEC, Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing, China
Abstract In recent years, a nonoverlapping domain decomposition iterative procedure, which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces, has been developed and analyzed. The idea of employing Robin-type boundary conditions as interface conditions was first proposed by P.L. Lions. It is known that the convergence rate of this method is 1 − O(h), where h is mesh size. In this talk, the convergence rate will be improved to 1 − O(h1/2 H −1/2 ) by choosing suitable parameter on the interfaces, where H is the subdomain size. Counter examples will be constructed to show that the convergence rate is sharp.
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