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...
Main Authors: | Wenjuan Zhang, Mohammed Al Kobaisi |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-09-01
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Series: | Energies |
Subjects: | |
Online Access: | https://www.mdpi.com/1996-1073/15/18/6823 |
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