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

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 pres...

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Bibliographic Details
Published in:arXiv.org 2013-09
Main Authors: Octavio Andrés González Estrada, Ródenas García, Juan José, Bordas, Stéphane, Nadal, E, Kerfriden, Pierre, Fuenmayor, F J
Format: Article
Language:English
Subjects:
Computer simulation
Domains
Error analysis
Finite element method
Mathematical analysis
Recovery
Stress distribution
Stress intensity factors
Online Access:Get full text
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Summary: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.
ISSN:2331-8422