13 citations · 34 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
A highly efficient finite volume method with a diffusion control parameter for hyperbolic problems
Wassim Aboussi, Moussa Ziggaf, Imad Kissami +1
This article proposes a highly accurate and conservative method for hyperbolic systems using the finite volume approach. This innovative scheme constructs the intermediate states a…
A well balanced fvc scheme for 2d shallow water flows on unstructured triangular meshes
Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur
We consider in this work the numerical resolution of a 2D shallow water system with a Coriolis effect and bottom friction stresses on unstructured meshes by a new Finite Volume Cha…
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…