7 citations · 9 across the 3 of their papers we have counts for
3 papers
physics.comp-ph2023★ 2 cited
U-DeepONet: U-Net Enhanced Deep Operator Network for Geologic Carbon Sequestration
Waleed Diab, Mohammed Al-Kobaisi
FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional…
math.NA2023
Algorithmic Monotone Multiscale Finite Volume Methods for Porous Media Flow
Omar Chaabi, Mohammed Al Kobaisi
Multiscale finite volume methods are known to produce reduced systems with multipoint stencils which, in turn, could give non-monotone and out-of-bound solutions. We propose a nove…
physics.flu-dyn2021★ 7 cited
PINNs for the Solution of the Hyperbolic Buckley-Leverett Problem with a Non-convex Flux Function
Waleed Diab, Mohammed Al Kobaisi
The displacement of two immiscible fluids is a common problem in fluid flow in porous media. Such a problem can be posed as a partial differential equation (PDE) in what is commonl…