In this paper we study the pollution-error in the h-version of the finite element method and its effect on the local quality of a-posteriori error estimators. We show that the pollution-effect in an interior subdomain depends on the relationship between the mesh inside and outside the subdomain and the smoothness of the exact solution. We also demonstrate that it is possible to guarantee the quality of local error estimators in any mesh-patch in the interior of a finite-element mesh by employing meshes which are sufficiently refined outside the patch. © 1994.

Chandra Shekhar Upadhyay

Department of Mechanical Engineering

IIT Jodhpur

Babuška I.

Strouboulis T.

Mathur A.

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Journal	Finite Elements in Analysis and Design
ISSN	0168874X
Open Access	No