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physics.comp-ph2022★ 6 cited
Neural tangent kernel analysis of PINN for advection-diffusion equation
M. H. Saadat, B. Gjorgiev, L. Das +1
Physics-informed neural networks (PINNs) numerically approximate the solution of a partial differential equation (PDE) by incorporating the residual of the PDE along with its initi…
physics.comp-ph2020
Arbitrary Lagrangian-Eulerian formulation of lattice Boltzmann model for compressible flows on unstructured moving meshes
Mohammad Hossein Saadat, Ilya V. Karlin
We propose the application of the arbitrary Lagrangian-Eulerian (ALE) technique to a compressible lattice Boltzmann model for the simulation of moving boundary problems on unstruct…