A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn–Hilliard Equation and Its Convergence Analysis-Reference-Cited by-同舟云学术

A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn–Hilliard Equation and Its Convergence Analysis

Published:2018-03-06 Issue:3 Volume:76 Page:1938-1967
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Feng Wenqiang,Guan Zhen,Lowengrub John,Wang Cheng^ORCID,Wise Steven M.,Chen Ying

Funder

Division of Mathematical Sciences

Division of Materials Research

Division of Chemistry

Directorate for Mathematical and Physical Sciences

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/article/10.1007/s10915-018-0690-1/fulltext.html

Reference54 articles.

1. Alikakos, N., Bates, P., Chen, X.: Convergence of the Cahn–Hilliard equation to the Hele–Shaw model. Arch. Ration. Mech. Anal. 128(2), 165–205 (1994)

2. Alikakos, N., Fusco, G.: The spectrum of the Cahn–Hilliard operator for generic interface in higher space dimensions. Indiana Univ. Math. J. 42(2), 637–674 (1993)

3. Allen, S.M., Cahn, J.W.: A microscopic theory for antiphase boundary motion and its application to antiphase domain coursening. Acta. Metall. 27, 1085 (1979)

4. Aristotelous, A., Karakasian, O., Wise, S.: A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn–Hilliard equation and an efficient nonlinear multigrid solver. Discrete Contin. Dyn. Sys. B 18, 2211–2238 (2013)

5. Baskaran, A., Hu, Z., Lowengrub, J., Wang, C., Wise, S., Zhou, P.: Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. J. Comput. Phys. 250, 270–292 (2013)

Cited by 41 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential;Communications in Computational Physics;2024-06

2. An unconditional energy stable data assimilation scheme for Navier-Stokes-Cahn-Hilliard equations with local discretized observed data;Computers & Mathematics with Applications;2024-06

3. A third-order positivity-preserving and energy stable numerical scheme for the Cahn-Hilliard equation with logarithmic potential;SCIENTIA SINICA Mathematica;2024-02-01

4. On an efficient numerical procedure for the Functionalized Cahn-Hilliard equation;AIMS Mathematics;2024

5. On an Efficient Numerical Procedure for the Functionalized Cahn-Hilliard Equation;2024