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Conference Papers Year : 2013

Non shape regular domain decompositions: an analysis using a stable decomposition in $H_0^1$

Abstract

In this paper, we establish the existence of a stable decomposition in the Sobolev space $H^1_0$ 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.
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Dates and versions

hal-00607043 , version 1 (07-07-2011)
hal-00607043 , version 2 (10-02-2012)

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Cite

Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. Non shape regular domain decompositions: an analysis using a stable decomposition in $H_0^1$. 20th International Conference on Domain Decomposition Methods, Feb 2011, La Jolla, United States. pp.485--492, ⟨10.1007/978-3-642-35275-1_57⟩. ⟨hal-00607043v2⟩
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