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An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and
  Cahn-Hilliard Phase-Field Models

An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models

11 October 2024
Yuwei Geng
Olena Burkovska
L. Ju
Guannan Zhang
M. Gunzburger
ArXiv (abs)PDFHTML

Papers citing "An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models"

5 / 5 papers shown
Title
Physics-Informed Deep Neural Operator Networks
Physics-Informed Deep Neural Operator Networks
S. Goswami
Aniruddha Bora
Yue Yu
George Karniadakis
PINNAI4CE
92
108
0
08 Jul 2022
Learning two-phase microstructure evolution using neural operators and
  autoencoder architectures
Learning two-phase microstructure evolution using neural operators and autoencoder architectures
Vivek Oommen
K. Shukla
S. Goswami
Rémi Dingreville
George Karniadakis
AI4CE
105
124
0
11 Apr 2022
Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive
  Physics Informed Neural Networks
Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks
Colby Wight
Jia Zhao
77
225
0
09 Jul 2020
DeepONet: Learning nonlinear operators for identifying differential
  equations based on the universal approximation theorem of operators
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
Lu Lu
Pengzhan Jin
George Karniadakis
248
2,162
0
08 Oct 2019
Cahn--Hilliard inpainting with the double obstacle potential
Cahn--Hilliard inpainting with the double obstacle potential
H. Garcke
K. F. Lam
V. Styles
25
19
0
17 Jan 2018
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