A posteriori error estimation for generalized finite element methods

T Strouboulis, L Zhang, D Wang, I Babuška - Computer Methods in Applied …, 2006 - Elsevier
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Reliability and efficiency of an anisotropic Zienkiewicz–Zhu error estimator

S Micheletti, S Perotto - Computer methods in applied mechanics and …, 2006 - Elsevier
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error
estimator in the case of the Poisson problem supplied with mixed boundary conditions. The …

On the role of enrichment and statical admissibility of recovered fields in a posteriori error estimation for enriched finite element methods

O Andrés González‐Estrada… - Engineering …, 2012 - emerald.com
Purpose–The purpose of this paper is to assess the effect of the statical admissibility of the
recovered solution and the ability of the recovered solution to represent the singular …

Pointwise dual weighted residual based goal-oriented a posteriori error estimation and adaptive mesh refinement in 2D/3D thermo-mechanical multifield problems

E Rabizadeh, AS Bagherzadeh, C Anitescu… - Computer Methods in …, 2020 - Elsevier
In this article, we present a 3D adaptive method for thermoelastic problems based on goal-
oriented error estimation where the error is measured with respect to a pointwise quantity of …

A recovery-explicit error estimator in energy norm for linear elasticity

E Nadal, P Díez, JJ Rodenas, M Tur… - Computer Methods in …, 2015 - Elsevier
Significant research effort has been devoted to produce one-sided error estimates for Finite
Element Analyses, in particular to provide upper bounds of the actual error. Typically, this …

Residual error based adaptive mesh refinement with the non-intrusive patch algorithm

M Duval, A Lozinski, JC Passieux, M Salaün - Computer Methods in …, 2018 - Elsevier
This paper deals with the introduction of mesh refinement techniques within the non-
intrusive patch process. For this, an ad hoc residual based explicit error estimator is built …

Assessment of the cost and accuracy of the generalized FEM

T Strouboulis, L Zhang… - International journal for …, 2007 - Wiley Online Library
In this paper, we address the cost versus accuracy capabilities for the generalized FEM
(GFEM) which was developed in (Comput. Methods Appl. Mech. Eng. 2003; 192: 3109 …

Subdomain-based error techniques for generalized finite element approximations of problems with singular stress fields

FB Barros, CS De Barcellos, CA Duarte… - Computational …, 2013 - Springer
This paper considers four types of error measures, each tailored to the generalized finite
element method. Particular attention is given to two-dimensional elasticity problems with …

Apports du couplage non-intrusif en mécanique non-linéaire des structures

M Duval - 2016 - theses.hal.science
Le projet ANR ICARE, dans lequel s' inscrit cette thèse, vise au développement de
méthodes pour l'analyse de structures complexes et de grande taille. Le défi scientifique …

Goal-oriented A Posteriori Error Estimation and Adaptive Mesh Refinement in 2D/3D Thermoelasticity Problems

E Rabizadeh - 2020 - e-pub.uni-weimar.de
In recent years, substantial attention has been devoted to thermoelastic multifield problems
and their numerical analysis. Thermoelasticity is one of the important categories of multifield …