activity
20142023
most citedThree-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction

95 citations · 290 across the 13 of their papers we have counts for

collaborators

15 papers

math.NA2023★ 1 cited

Adaptive space-time model order reduction with dual-weighted residual (MORe DWR) error control for poroelasticity

Hendrik Fischer, Julian Roth, Ludovic Chamoin +3

In this work, the space-time MORe DWR (Model Order Reduction with Dual-Weighted Residual error estimates) framework is extended and further developed for single-phase flow problems…

math.DS2023★ 2 cited

Non-intrusive model combination for learning dynamical systems

Shiqi Wu, Ludovic Chamoin, Qianxiao Li

In data-driven modelling of complex dynamic processes, it is often desirable to combine different classes of models to enhance performance. Examples include coupled models of diffe…

math.NA2023

MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM

Hendrik Fischer, Julian Roth, Thomas Wick +2

In this work, the dual-weighted residual (DWR) method is applied to obtain a certified incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach…

cond-mat.mes-hall2021

Inverse design of reconfigurable piezoelectric topological phononic plates

Chuong Nguyen, S. S. Nanthakumar, Xiaoying Zhuang +3

We present a methodology to perform inverse analysis on reconfigurable topological insulators for flexural waves in plate-like structures. First the unit cell topology of a phononi…

math.NA2021★ 1 cited

A pedagogical review on a posteriori error estimation in Finite Element computations

Ludovic Chamoin, Frederic Legoll

This article is a review on basic concepts and tools devoted to a posteriori error estimation for problems solved with the Finite Element Method. For the sake of simplicity and cla…

cs.CE2019★ 95 cited

Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction

Chuong Nguyen, Xiaoying Zhuang, Ludovic Chamoin +3

In this work, we present an efficiently computational approach for designing material micro-structures by means of topology optimization. The central idea relies on using the isoge…

math.NA2019

Goal-oriented error estimation and adaptivity in MsFEM computations

Ludovic Chamoin, Frederic Legoll

We introduce a goal-oriented strategy for multiscale computations performed using the Multiscale Finite Element Method (MsFEM). In a previous work, we have shown how to use, in the…

cs.CE2018★ 11 cited

Proper Generalized Decomposition of Parameterized Electrothermal Problems Discretized by the Finite Integration Technique

Alexander Krimm, Thorben Casper, Sebastian Schöps +2

The proper generalized decomposition is applied to a static electrothermal model subject to uncertainties. A reduced model that circumvents the curse of dimensionality is obtained.…

math.NA2018★ 31 cited

A posteriori error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems

Ludovic Chamoin, Florent Pled, Pierre-Eric Allier +1

We define an a posteriori verification procedure that enables to control and certify PGD-based model reduction techniques applied to parametrized linear elliptic or parabolic probl…

math.NA2017★ 24 cited

A posteriori error estimation and adaptive strategy for the control of MsFEM computations

Ludovic Chamoin, Frederic Legoll

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 guaran…

math.NA2017★ 30 cited

New bounding techniques for goal-oriented error estimation applied to linear problems

Pierre Ladevèze, Florent Pled, Ludovic Chamoin

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 improvement…

math.NA2017★ 59 cited

On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples

Florent Pled, Ludovic Chamoin, Pierre Ladevèze

Robust global/goal-oriented error estimation is used nowadays to control the approximate finite element solutions obtained from simulation. In the context of Computational Mechanic…

eess.SY2017★ 19 cited

Control Synthesis of Nonlinear Sampled Switched Systems using Euler's Method

Adrien Le Coënt, Florian De Vuyst, Ludovic Chamoin +1

In this paper, we propose a symbolic control synthesis method for nonlinear sampled switched systems whose vector fields are one-sided Lipschitz. The main idea is to use an approxi…

eess.SY2016

Distributed Synthesis of State-Dependent Switching Control

Adrien Le Coënt, Laurent Fribourg, Nicolas Markey +2

We present a correct-by-design method of state-dependent control synthesis for linear discrete-time switching systems. Given an objective region R of the state space, the method bu…

math.NA2014★ 17 cited

An enhanced method with local energy minimization for the robust a posteriori construction of equilibrated stress fields in finite element analyses

Florent Pled, Ludovic Chamoin, Pierre Ladevèze

In the context of global/goal-oriented error estimation applied to computational mechanics, the need to obtain reliable and guaranteed bounds on the discretization error has motiva…