An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise A Bensoussan, L Mertz, O Pironneau, J Turi SIAM journal on numerical analysis 47 (5), 3374-3396, 2009 | 28 | 2009 |
Optimal protocols and universal time-energy bound in Brownian thermodynamics Y Rosales-Cabara, G Manfredi, G Schnoering, PA Hervieux, L Mertz, ... Physical Review Research 2 (1), 012012, 2020 | 17 | 2020 |
Stochastic dynamics of fluid–structure interaction in turbulent thermal convection J Mac Huang, JQ Zhong, J Zhang, L Mertz Journal of Fluid Mechanics 854, R5, 2018 | 15 | 2018 |
An analytic approach to the ergodic theory of a stochastic variational inequality A Bensoussan, L Mertz Comptes Rendus. Mathématique 350 (7-8), 365-370, 2012 | 14 | 2012 |
An empirical study on plastic deformations of an elasto-plastic problem with noise L Mertz, C Feau Probabilistic engineering mechanics 30, 60-69, 2012 | 12 | 2012 |
Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise A Bensoussan, L Mertz, SCP Yam Comptes Rendus. Mathématique 350 (17-18), 853-859, 2012 | 11 | 2012 |
Degenerate Dirichlet problems related to the ergodic property of an elasto-plastic oscillator excited by a filtered white noise L Mertz, A Bensoussan IMA Journal of Applied Mathematics 80 (5), 1387-1408, 2015 | 8 | 2015 |
An analytical approach for the growth rate of the variance of the deformation related to an elasto-plastic oscillator excited by a white noise A Bensoussan, C Feau, L Mertz, S Chi Phillip Yam Applied Mathematics Research eXpress 2015 (1), 99-128, 2015 | 7 | 2015 |
A control variate method driven by diffusion approximation J Garnier, L Mertz Communications on Pure and Applied Mathematics 75 (3), 455-492, 2022 | 5 | 2022 |
A Feynman–Kac formula approach for computing expectations and threshold crossing probabilities of non-smooth stochastic dynamical systems L Mertz, G Stadler, J Wylie Physica D: Nonlinear Phenomena 397, 25-38, 2019 | 4 | 2019 |
Asymptotic formulae for the risk of failure related to an elasto-plastic problem with noise C Feau, M Laurière, L Mertz Asymptotic Analysis 106 (1), 47-60, 2018 | 4 | 2018 |
Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise A Bensoussan, L Mertz, SCP Yam SIAM Journal on Mathematical Analysis 48 (4), 2783-2805, 2016 | 4 | 2016 |
Penalization of a stochastic variational inequality modeling an elasto-plastic problem with noise M Laurière, L Mertz ESAIM: Proceedings and Surveys 48, 226-247, 2015 | 4 | 2015 |
Approximate solutions of a stochastic variational inequality modeling an elasto-plastic problem with noise H Jasso-Fuentes, L Mertz, SC Phillip Yam Applied Mathematics Research Express 2014 (1), 52-73, 2014 | 4 | 2014 |
Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps A Bensoussan, H Jasso-Fuentes, S Menozzi, L Mertz Asymptotic Analysis 80 (1-2), 171-187, 2012 | 4 | 2012 |
Probing quantum effects with classical stochastic analogs R Goerlich, G Manfredi, PA Hervieux, L Mertz, C Genet Physical Review Research 3 (3), 033203, 2021 | 3 | 2021 |
Mathematical formulation of a dynamical system with dry friction subjected to external forces A Bensoussan, A Brouste, FB Cartiaux, C Mathey, L Mertz Physica D: Nonlinear Phenomena 421, 132859, 2021 | 3 | 2021 |
Numerical analysis of degenerate Kolmogorov equations of constrained stochastic Hamiltonian systems L Mertz, O Pironneau Computers & Mathematics with Applications 78 (8), 2719-2733, 2019 | 3 | 2019 |
Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities M Lauriere, L Mertz SIAM Journal on Applied Dynamical Systems 18 (2), 853-880, 2019 | 3 | 2019 |
Inéquations variationnelles stochastiques et applications aux vibrations de structures mécaniques L Mertz université Pierre et Marie Curie, 2011 | 2 | 2011 |