activity
20142021
most citedReview and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains

75 citations · 282 across the 9 of their papers we have counts for

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5 papers · 1 filter

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★ 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…

math.NA2017★ 15 cited

A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities

Anthony Nouy, Florent Pled

A multiscale numerical method is proposed for the solution of semi-linear elliptic stochastic partial differential equations with localized uncertainties and non-linearities, the u…

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…