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Some remarks on the behaviour of the finite element solution in nonsmooth domains

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概要 In this paper, we consider on the behaviour of the residual error by a smooth finite element solution for elliptic problems on nonconvex and nonsmooth domains. Against expectations, it is proved that ...the residual error is unbounded and actually diverges to infinity as the mesh size goes to zero. A numerical example which illustrates this phenomena will be presented for the Poisson equation on L-shaped domain using C1-Hermite element as well as the similar results will be shown for a C0 element with a posteriori smoothing.続きを見る

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登録日 2009.04.22
更新日 2018.01.22