Mikaël Barboteu

Mikaël Barboteu is a Professor at the Université de Perpignan, affiliated with the LAMPS - Multidisciplinary Modeling and Simulation Laboratory and the Department of Mathematics and Computer Science within the Faculty of Science, Economics, and Engineering. His research focuses on mathematical and numerical modeling of contact mechanics problems, particularly addressing nonlinear, non-convex, and non-regular systems in mechanics.

• Thematic Axes: Mathematical and Numerical Modeling for Mechanics, Nonlinear Analysis and Optimization

His work involves variational formulations, numerical approximation methods, and solving nonlinear problems using techniques like the Primal-Dual Active Set Method and Newton continuation. Recent research includes dynamic frictional contact modeling with applications to multi-contact structures like granular media.

• Recent Publication: Unified Primal-Dual Active Set Methods for dynamic frictional contact problems (2024), accepted in Fixed Point Theory and Algorithms for Sciences and Engineering.

He is involved in the development of energy conservation algorithms and domain decomposition methods, contributing to the analysis of complex mechanical systems.