An Ultra Weak Finite Element Method as an Alternative to a Monte Carlo Method for an Elasto-Plastic Problem with Noise. - Alain Bensoussan 001; Laurent Mertz; Olivier Pironneau; Janos Turi (SIAM J. Numer. Anal., 2009)

Stochastic Variational Inequalities and Applications to Random Vibrations and Mechanical Structures. (Inéquations variationnelles stochastiques et applications aux vibrations de structures mécaniques). - Laurent Mertz (2011)

Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps. - Alain Bensoussan 001; Héctor Jasso-Fuentes; Stéphane Menozzi; Laurent Mertz (Asymptot. Anal., 2012)

NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered Noise. - Alain Bensoussan 001; Laurent Mertz; Sheung Chi Phillip Yam (SIAM J. Math. Anal., 2016)

Asymptotic formulae for the risk of failure related to an elasto-plastic problem with noise. - Cyril Feau; Mathieu Laurière; Laurent Mertz (Asymptot. Anal., 2018)

Numerical analysis of degenerate Kolmogorov equations of constrained stochastic Hamiltonian systems. - Laurent Mertz; Olivier Pironneau (Comput. Math. Appl., 2019)

Penalization of Nonsmooth Dynamical Systems with Noise: Ergodicity and Asymptotic Formulae for Threshold Crossings Probabilities. - Mathieu Laurière; Laurent Mertz (SIAM J. Appl. Dyn. Syst., 2019)

A Piecewise Deterministic Markov Process Approach Modeling a Dry Friction Problem with Noise. - Josselin Garnier; Ziyu Lu; Laurent Mertz (SIAM J. Appl. Math., 2023)

Exponential Mixing of Constrained Random Dynamical Systems via Controllability Conditions. - Laurent Mertz; Vahagn Nersesyan; Manuel Rissel (SIAM J. Control. Optim., 2024)

An elementary approach based on variational inequalities for modeling a friction-based locomotion problem. - Panyu Chen; Álvaro Mateos González; Laurent Mertz (Appl. Math. Lett., 2025)

Efficient Diffusion Training through Parallelization with Truncated Karhunen-Loève Expansion. - Yumeng Ren; Yaofang Liu; Aitor Artola; Laurent Mertz; Raymond H. Chan; Jean-Michel Morel (CoRR, 2025)