There is a large literature of numerical methods for phase field models from materials science. The prototype models are the Allen-Cahn and Cahn-Hilliard equa- tions. We present four benchmark problems for these equations, with numerical results validated using several computational methods with different spatial and temporal discretizations. Our goal is to provide the scientific community with a reliable reference point for assessing the accuracy and reliability of future software for this important class of problem.
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Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks
- Award ID(s):
- 1816783
- PAR ID:
- 10225320
- Date Published:
- Journal Name:
- Communications in Computational Physics
- Volume:
- 29
- Issue:
- 3
- ISSN:
- 1815-2406
- Page Range / eLocation ID:
- 930 to 954
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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