Concepedia

Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model

Shuying Zhai, Zhifeng Weng, Yuchang Mo, Xinlong Feng

Computers & Mathematics with Applications · 2023 · 27 citations · 45 references

DOI

Concepts

References

45

Free Energy of a Nonuniform System. I. Interfacial Free Energy

John W. Cahn, J. E. Hilliard · The Journal of Chemical Physics · 1958 · 10.3K citations

, , +17

Reformulation of elasticity theory for discontinuities and long-range forces

Stewart Silling · Journal of the Mechanics and Physics of Solids · 2000 · 4.1K citations

, , +14

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

, , +16

Total variation diminishing Runge-Kutta schemes

Sigal Gottlieb, Chi‐Wang Shu · Mathematics of Computation · 1998 · 2.5K citations · Full text

, , +17

The scalar auxiliary variable (SAV) approach for gradient flows

Jie Shen, Jie Xu, Jiang Yang · Journal of Computational Physics · 2017 · 1K citations

, , +11