Non Shape Regular Domain Decompositions: An Analysis Using a Stable Decomposition in
نویسندگان
چکیده
In this paper, we establish the existence of a stable decomposition in the Sobolev space H 0 for domain decompositions which are not shape regular in the usual sense. In particular, we consider domain decompositions where the largest subdomain is significantly larger than the smallest subdomain. We provide an explicit upper bound for the stable decomposition that is independant of the ratio between the diameter of the largest and the smallest subdomain.
منابع مشابه
Non shape regular domain decompositions: an analysis using a stable decomposition in H_01
Martin Gander, Laurence Halpern, Kévin Santugini-Repiquet. Non shape regular domain decompositions: an analysis using a stable decomposition in H 0. Bank, Randolph and Holst, Michael and Widlund, Olov and Xu, Jinchao. 20th International Conference on Domain Decomposition Methods, Feb 2011, La Jolla, United States. Springer, 91, pp.485–492, 2013, Lecture Notes in Computational Science and Engine...
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