In this work, we introduce a consistent error estimator for numerical simulations performed
by means of the proper generalized decomposition (PGD) approximation. This estimator …

This article is a review of basic concepts and tools devoted to a posteriori error estimation for
problems solved with the finite element method. For the sake of simplicity and clarity, we …

This paper presents a robust model updating strategy for correcting finite element models
from datasets acquired in low-frequency dynamics. The proposed methodology is based on …

Today, the identification of material model parameters is based more and more on full-field
measurements. This article explains how an appropriate use of the constitutive equation gap …

This chapter reviews the Constitutive Relation Error method as a general verification tool
which is very suitable to compute strict and effective error bounds for linear and more …

Robust global/goal‐oriented error estimation is used nowadays to control the approximate
finite element (FE) solutions obtained from simulation. In the context of computational …

The paper deals with the accuracy of guaranteed error bounds on outputs of interest
computed from approximate methods such as the finite element method. A considerable …

We introduce quantitative and robust tools to control the numerical accuracy in simulations
performed using the Multiscale Finite Element Method (MsFEM). First, we propose a …

The paper deals with the constitutive relation error (CRE) concept which has been widely
used over the last 40 years for verification and validation of computational mechanics …

This paper deals with the verification of simulations performed using the finite element
method. More specifically, it addresses the calculation of strict bounds on the discretization …