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math.NA2026
Finite Element Eigenfunction Network (FEENet): A Hybrid Framework for Solving PDEs on Complex Geometries
Shiyuan Li, Hossein Salahshoor
Neural operators aim to learn mappings between infinite-dimensional function spaces, but their performance often degrades on complex or irregular geometries due to the lack of geom…
math.NA2025
Approximating Young Measures With Deep Neural Networks
Rayehe Karimi Mahabadi, Jianfeng Lu, Hossein Salahshoor
Parametrized measures (or Young measures) enable to reformulate non-convex variational problems as convex problems at the cost of enlarging the search space from space of functions…