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

Autor:	Ródenas, J. J., Estrada, Octavio Andrés González, Fuenmayor, F. J., Chinesta, F.
Rok vydání:	2012
Předmět:	Mathematics - Numerical Analysis Physics - Computational Physics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.6381 Zobrazit plný text záznamu View this record from Arxiv