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

in Computers and Structures (2015)

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 ... [more ▼]

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 qual- ity, 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 approxi- mations 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. [less ▲]

Equilibrated patch recovery for accurate evaluation of upper error bounds in quantities of interest

in Audry, D; Díez, P; Tie, B (Eds.) et al Adaptive Modeling and Simulation. Proceedings of V ADMOS 2011 (2011)