On higher-order-accuracy points in isoparametric finite element analysis and an application to error assessment

We consider the systematic calculation of higher-order-accuracy points in f inite element analysis. The cases of varying material properties and distor tion of elements are included. The results obtained are used to establish a n error estimator that is element-based and applicable to varying material properties. Some example problems are solved and show the applicability of the error estimator. While one-dimensional problems are studied in detail, the extension to two- and three-dimensional analysis is indicated. (C) 2001 Elsevier Science Ltd. All rights reserved.