An a posteriori error estimator for the p- and hp-versions of the finite element method

摘要

An a posteriori error estimator is proposed in this paper for the, p- and hp-versions Of the fine element method in two-dimensional linear elastostatic problems. The local error estimator consists in an enhancement of an error indicator proposed by Bertoti and Szabo (Int. J. Numer. Meth. Engng. ), energy principle. In order to 1998: 42:561-587), which is based on the minimum complementary obtain the local error estimate. this error indicator is corrected by a factor which depends only on the polynomial degree of the element. The proposed error estimator shows a good effectivity index in meshes with uniform and non-uniform polynomial distributions, e-specially when the global error is estimated. Furthermore, the local error estimator is reliable enough to guide p- and lip-adaptive refinement strategies. Copyright (C) 2004 John Wiley Sons. Ltd.