Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method

O. A. González-Estrada, J. J. Ródenas, S. P A Bordas, E. Nadal, P. Kerfriden, F. J. Fuenmayor

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

Goal oriented error estimation and adaptive procedures are essential for the accurate and efficient evaluation of finite element numerical simulations that involve complex domains. By locally improving the approximation quality, for example, by using the extended finite element method (XFEM), we can solve expensive problems which could result intractable otherwise. Here, we present an error estimation technique for enriched finite element approximations that is based on an equilibrated recovery technique, which considers the stress intensity factor as the quantity of interest. The locally equilibrated superconvergent patch recovery is used to obtain enhanced stress fields for the primal and dual problems defined to evaluate the error estimate.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalComputers and Structures
Volume152
DOIs
Publication statusPublished - 2015
Externally publishedYes

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