The modern design of industrial structures leads to very complex simulations characterized
by nonlinearities, high heterogeneities, tortuous geometries... Whatever the modelization …

This article describes a bridge between POD-based model order reduction techniques and
the classical Newton/Krylov solvers. This bridge is used to derive an efficient algorithm to …

This paper proposes a novel technique to reduce the computational burden associated with
the simulation of localized failure. The proposed methodology affords the simulation of …

Iterative substructuring methods with Lagrange multipliers are considered for
heterogeneous linear elasticity problems with large discontinuities in the material …

Inexact FETI‐DP domain decomposition methods are considered. Preconditioners based on
formulations of FETI‐DP as a saddle point problem are used which allow for an inexact …

In this paper, projector preconditioning, also known as the deflation method, as well as the
balancing preconditioner are applied to the dual-primal finite element tearing and …

Response surface methodology is an efficient method for approximating the output of
complex, computationally expensive codes. Challenges remain however in decreasing their …

Abstract Finite Element Tearing and Interconnecting (FETI) methods are a family of
nonoverlapping domain decomposition methods which have been proven to be robust and …

The univariate spline quasi-interpolants (QIs) studied in this paper are approximation
operators using B-spline expansions with coefficients that are linear combinations of …

De nouvelles lois de comportement ont récemment été développées afin de prédire le
comportement et la rupture des composites à matrice organiques. Coupler à la méthode des …