2 papers
cs.LG2025
Physics-Informed DeepONet Coupled with FEM for Convective Transport in Porous Media with Sharp Gaussian Sources
Erdi Kara, Panos Stinis
We present a hybrid framework that couples finite element methods (FEM) with physics-informed DeepONet to model fluid transport in porous media from sharp, localized Gaussian sourc…
physics.med-ph2019
Tumor ablation due to inhomogeneous -- anisotropic diffusion in generic 3-dimensional topologies
Erdi Kara, Aminur Rahman, Eugenio Aulisa +1
We derive a full 3-dimensional (3-D) model of inhomogeneous -- anisotropic diffusion in a tumor region coupled to a binary population model. The diffusion tensors are acquired usin…