Maximum Principle-Preserving Computational Algorithm for the 3D High-Order Allen–Cahn Equation
We propose an unconditionally stable computational algorithm that preserves the maximum principle for the three-dimensional (3D) high-order Allen–Cahn (AC) equation. The presented algorithm applies an operator-splitting technique that decomposes the original equation into nonlinear and linear diffus...
Saved in:
| Main Authors: | Junseok Kim, Youngjin Hwang |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-03-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/7/1085 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Maximum principle preserving the unconditionally stable method for the Allen–Cahn equation with a high-order potential
by: Junseok Kim
Published: (2025-01-01) -
Benchmark problems for physics-informed neural networks: The Allen–Cahn equation
by: Hyun Geun Lee, et al.
Published: (2025-03-01) -
Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method
by: Abdulghafor Al-Rozbayani
Published: (2014-07-01) -
Performance of a new stabilized structure-preserving finite element method for the Allen–Cahn equation
by: Panason Manorot, et al.
Published: (2024-12-01) -
A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction
by: Seokjun Ham, et al.
Published: (2025-03-01)