This paper presents two approaches to tackle the issue of discretization error in the reliability
assessment of structures. The first method (AGSK-MCS for Adaptive Guaranteed State …

This article proposes two algorithms to compute the probability of failure using Support
Vector Machine (SVM) classifiers and Monte Carlo estimator in the context of structural …

This paper deals with the estimation of the distance between the solution of a static linear
mechanic problem and its approximation by the finite element method solved with a non …

This article presents an approach to build a multifidelity kriging metamodel from finite
element computations on different meshes for stuctural reliability assessment. The proposed …

This paper is a revisit of the work [Ladevèze and Pelle, Int. J. Numer. Methods Engrg. 28
(1989)] where the goal here is to acquire guaranteed, accurate and computable bounds of …

This paper deals with bounding the error on the estimation of quantities of interest obtained
by finite element and domain decomposition methods. The proposed bounds are written in …

This paper presents a new methodology to compute guaranteed upper bounds for the
energy norm of the error in the context of linear finite element approximations of the reaction …

This paper investigates the question of the building of admissible stress field in a
substructured context. More precisely, we analyze the special role played by multiple points …

This article deals with the computation of guaranteed lower bounds of the error in the
framework of finite element and domain decomposition methods. In addition to a fully …

Offshore wind substations are subjected to uncertain loads from waves, wind and currents.
Sea states are composed of irregular waves which statistics are usually characterized …