2 papers
math.AP2026
DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting
Chih-Kang Huang, Ludovick Gagnon, Miha Založnik +1
The multi-scale and non-linear nature of phase-field models of solidification requires fine spatial and temporal discretization, leading to long computation times. This could be ov…
math.AP2024
Fredholm backstepping for critical operators and application to rapid stabilization for the linearized water waves
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
Fredholm-type backstepping transformation, introduced by Coron and Lü, has become a powerful tool for rapid stabilization with fast development over the last decade. Its strength…