2013/08/08 by Octavio Andrés González Estrada, Juan José Ródenas García, Estrada, Octavio Andrés González +9
Computer Science · Mathematics · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #cs.NA #math.NA #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1308.1941
arXiv admin note: text overlap with arXiv:1209.3102
arxiv created 2013/09/19 · arxiv updated 2013/09/20
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.