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.
Domains
Numerical Analysis [math.NA]| Origin | Files produced by the author(s) |
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