Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709159 | Applied Mathematics Letters | 2008 | 5 Pages |
Abstract
In this work, we consider the behaviour of the residual error using a smooth finite element solution for elliptic problems on nonconvex and nonsmooth domains. It is proved that, against expectations, the residual error is unbounded and actually diverges to infinity as the mesh size goes to zero. A numerical example which illustrates this phenomenon will be presented for the Poisson equation on an L-shaped domain using a C1C1 Hermite element, and similar results will be shown for a C0C0 element with a posteriori smoothing.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mitsuhiro T. Nakao, Takehiko Kinoshita,