Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEMReport as inadecuate




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1 CITV - Centro de Investigación en Tecnología de Vehículos 2 IMAM - Institute of Mechanics and Advanced Materials 3 GeM - Institut de Recherche en Génie Civil et Mécanique

Abstract : In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares MLS recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced MLS fitting, which directly provides continuous interpolated fields, to obtain estimates of the error in energy norm as an alternative to the superconvergent patch recovery SPR. Boundary equilibrium is enforced using a nearest point approach that modifies the MLS functional. Lagrange multipliers are used to impose a nearly exact satisfaction of the internal equilibrium equation. The numerical results show the high accuracy of the proposed error estimator.

Keywords : moving least squares stress recovery extended finite element method error estimation equilibrated stresses





Author: J.J. Ródenas - Octavio Andrés González-Estrada - F.J. Fuenmayor - Francisco Chinesta -

Source: https://hal.archives-ouvertes.fr/



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