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math.NA2026
Weak and entropy physics-informed neural networks for conservation laws
Ismail Oubarka, Imad Kissami, Mohamed Boubekeur +3
We propose Weak and Entropy PINNs (WE-PINNs) for the approximation of entropy solutions to nonlinear hyperbolic conservation laws. Standard physics-informed neural networks enforce…
math.NA2021★ 6 cited
The FVC scheme on unstructured meshes for the two-dimensional Shallow Water Equations
Moussa Ziggaf, Mohamed Boubekeur, Imad kissami +2
The fluid flow transport and hydrodynamic problems often take the form of hyperbolic systems of conservation laws. In this work we will present a new scheme of finite volume method…