Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

By Xinlong Feng, Tao Tang, Jiang Yang. 2013

144 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/882ccffcd3076e9dd1436b095b17752a4b729ef4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Jie Shen
2. Jiang Yang
3. Tao Tang
4. G. Em Karniadakis
5. Dongbin Xiu
6. Nicholas Zabaras
7. Junseok Kim
8. Xiaoliang Wan

In Computational Mechanics

1. Jiang Yang
2. Tao Tang
3. Jie Shen
4. Xiaofeng Yang
5. G. Em Karniadakis
6. Fangying Song
7. Chuanju Xu
8. Jia Zhao

In Materials Chemistry

1. Jiang Yang
2. Tao Tang
3. Jie Shen
4. Xiaofeng Yang
5. G. Em Karniadakis
6. Fangying Song
7. Chuanju Xu
8. Steven M. Wise

Citations in the corpus

• Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle (2016, methodology): “For the Allen-Cahn equation, some recent stability analysis can be found in [4,6,12,14,15].”
• On the maximum principle preserving schemes for the generalized Allen–Cahn equation (2016, methodology): “For the Allen–Cahn equation, some recent stability analysis can be found in [9–11, 15, 19, 20].”
• A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations (2016, background): “Here, S∆t η2 (φn+1 − φn) is an extra stability term, which was introduced in [55] for the integer-order case.”