most citedPhysics-informed Neural Networks for Solving Nonlinear Diffusivity and Biot's equations

133 citations · 195 across the 5 of their papers we have counts for

collaborators

5 papers

cs.CE2020★ 17 cited

Enriched Galerkin Discretization for Modeling Poroelasticity and Permeability Alteration in Heterogeneous Porous Media

T. Kadeethum, H. M. Nick, S. Lee +1

Accurate simulation of the coupled fluid flow and solid deformation in porous media is challenging, especially when the media permeability and storativity are heterogeneous. We app…

cs.CE2020★ 33 cited

A Locally Conservative Mixed Finite Element Framework for Coupled Hydro-Mechanical-Chemical Processes in Heterogeneous Porous Media

T. Kadeethum, S. Lee, F. Ballarin +2

This paper presents a mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media. The framework combines two types of locally cons…

math.NA2020★ 2 cited

Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot's System by Employing Machine Learning

Sanghyun Lee, Teeratorn Kadeethum, Hamidreza M. Nick

In this paper, the optimal choice of the interior penalty parameter of the discontinuous Galerkin finite element methods for both the elliptic problems and the Biot's systems are s…

physics.comp-ph2020★ 10 cited

Physics-informed Neural Networks for Solving Inverse Problems of Nonlinear Biot's Equations: Batch Training

Teeratorn Kadeethum, Thomas M Jørgensen, Hamidreza M Nick

In biomedical engineering, earthquake prediction, and underground energy harvesting, it is crucial to indirectly estimate the physical properties of porous media since the direct m…

cs.CE2020★ 133 cited

Physics-informed Neural Networks for Solving Nonlinear Diffusivity and Biot's equations

Teeratorn Kadeethum, Thomas M Jorgensen, Hamidreza M Nick

This paper presents the potential of applying physics-informed neural networks for solving nonlinear multiphysics problems, which are essential to many fields such as biomedical en…