activity
20122021
most citedNon-overlapping domain decomposition methods in structural mechanics

186 citations · 398 across the 12 of their papers we have counts for

collaborators

12 papers

stat.ML2021★ 14 cited

Uncertainty quantification for industrial design using dictionaries of reduced order models

Thomas Daniel, Fabien Casenave, Nissrine Akkari +2

We consider the dictionary-based ROM-net (Reduced Order Model) framework [T. Daniel, F. Casenave, N. Akkari, D. Ryckelynck, Model order reduction assisted by deep neural networks (…

math.NA2018★ 44 cited

A Nonintrusive Distributed Reduced Order Modeling Framework for nonlinear structural mechanics -- application to elastoviscoplastic computations

Fabien Casenave, Nissrine Akkari, Felipe Bordeu +2

In this work, we propose a framework that constructs reduced order models for nonlinear structural mechanics in a nonintrusive fashion, and can handle large scale simulations. We i…

math.NA2018★ 17 cited

A new impedance accounting for short and long range effects in mixed substructured formulations of nonlinear problems

Camille Negrello, Pierre Gosselet, Christian Rey

An efficient method for solving large nonlinear problems combines Newton solvers and Domain Decomposition Methods (DDM). In the DDM framework, the boundary conditions can be chosen…

math.NA2017

Nonintrusive approximation of parametrized limits of matrix power algorithms -- application to matrix inverses and log-determinants

Fabien Casenave, Nissrine Akkari, Alexandre Charles +1

We consider in this work quantities that can be obtained as limits of powers of parametrized matrices, for instance the inverse matrix or the logarithm of the determinant. Under th…

math.NA2016★ 17 cited

Substructured formulations of nonlinear structure problems - influence of the interface condition

Camille Negrello, Pierre Gosselet, Christian Rey +1

We investigate the use of non-overlapping domain decomposition (DD) methods for nonlinear structure problems. The classic techniques would combine a global Newton solver with a lin…

physics.comp-ph2015★ 10 cited

Strict bounding of quantities of interest in computations based on domain decomposition

Valentine Rey, Pierre Gosselet, Christian Rey

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…