36 citations · 74 across the 5 of their papers we have counts for
5 papers
A Convex Quasilinearization Method for Solving Nonlinear PDEs with Physics-Informed Neural Networks
Gbenga T. Awojinrin, Abdul-Akeem Olawoyin, Rami M. Younis
We present a numerical method for the forward solution of nonlinear partial differential equations (PDEs) in which Bellman-Kalaba quasilinearization reduces the nonlinear problem t…
A Quasi-Newton method for physically-admissible simulation of Poiseuille flow under fracture propagation
Guotong Ren, Rami M. Younis
Coupled hydro-mechanical processes are of great importance to numerous engineering systems, e.g., hydraulic fracturing, geothermal energy, and carbon sequestration. Fluid flow in f…
An integrated numerical model for coupled poro-hydro-mechanics and fracture propagation using embedded meshes
Guotong Ren, Rami M. Younis
Integrated models for fluid-driven fracture propagation and general multiphase flow in porous media are valuable to the study and engineering of several systems, including hydrauli…
Multifidelity Computing for Coupling Full and Reduced Order Models
Shady E. Ahmed, Omer San, Kursat Kara +2
Hybrid physics-machine learning models are increasingly being used in simulations of transport processes. Many complex multiphysics systems relevant to scientific and engineering a…
Interface learning of multiphysics and multiscale systems
Shady E. Ahmed, Omer San, Kursat Kara +2
Complex natural or engineered systems comprise multiple characteristic scales, multiple spatiotemporal domains, and even multiple physical closure laws. To address such challenges,…