3 papers
math.NA2026
Certification of PGD reduced-order models with separated spatial variables
Jean Ruel, Ludovic Chamoin, Frédéric Legoll +1
Model order reduction techniques have become an attractive approach for obtaining fast approximations of multidimensional problems. Besides computational efficiency, ensuring the r…
math.NA2026
Towards a new PGD strategy for the simulation of slender structures
Jean Ruel, Frédéric Legoll, Arthur Lebée +1
Effective models for slender structures derived from well-known plate (or shell) theories are justified within the limit of a small thickness, and may therefore prove limited for i…
math.AP2025
Convergence of two-scale expansions for elastic heterogeneous plates
Virginie Ehrlacher, Arthur Lebée, Frédéric Legoll +1
The aim of this article is to prove strong convergence results on the difference between the solution to highly oscillatory problems posed in thin domains and its two-scale expansi…