On the Monotonicity and Positivity of Physics-Informed Neural Networks for Highly Anisotropic Diffusion Equations

On the Monotonicity and Positivity of Physics-Informed Neural Networks for Highly Anisotropic Diffusion Equations

Physics-informed neural network (PINN) models are developed in this work for solving highly anisotropic diffusion equations. Compared to traditional numerical discretization schemes such as the finite volume method and finite element method, PINN models are meshless and, therefore, have the advantag...

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Bibliographic Details
Main Authors: Wenjuan Zhang, Mohammed Al Kobaisi
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Energies
Subjects:
subsurface flow
porous media
permeability anisotropy
diffusion equation
physics informed neural networks
monotonicity
Online Access:https://www.mdpi.com/1996-1073/15/18/6823

Internet

https://www.mdpi.com/1996-1073/15/18/6823

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