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

Authors :
Estrada, Octavio Andrés González
García, Juan José Ródenas
Bordas, Stéphane
Nadal, E.
Kerfriden, Pierre
Fuenmayor, F. J.
Publication Year :
2013

Abstract

Goal oriented error estimation and adaptive procedures are essential for the accurate and efficient evaluation of numerical simulations that involve complex domains. By locally improving the approximation quality 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.<br />Comment: arXiv admin note: text overlap with arXiv:1209.3102

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1308.1941
Document Type :
Working Paper