Time-fractional Allen–Cahn and Cahn–Hilliard phase-field models and their numerical investigation-Reference-Cited by-同舟云学术

Time-fractional Allen–Cahn and Cahn–Hilliard phase-field models and their numerical investigation

Published:2018-10 Issue:8 Volume:76 Page:1876-1892
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Liu Huan,Cheng Aijie^ORCID,Wang Hong,Zhao Jia^ORCID

Funder

OSD/ARO MURI

National Natural Science Foundation of China

National Science Foundation

National Science and Technology Major Project of China

Shandong Provincial Natural Science Foundation, China

Taishan Scholars Program of Shandong Province of China

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference43 articles.

1. A phase-field description of dynamic brittle fracture;Borden;Comput. Methods Appl. Mech. Energ.,2012

2. Contact-line dynamics of a diffuse fluid interface;Jacqmin;J. Fluid Mech.,2000

3. A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities;Shen;SIAM J. Sci. Comput.,2010

4. A linear energy stable numerical scheme for epitaxial thin film growth model without slope selection;Chen;J. Sci. Comput.,2012

5. Numerical approximations for a phase field dendritic growth model based on the invariant energy quadratization approach;Yang;Int. J. Numer. Meth. Energ.,2016

Cited by 89 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. On the phase-field algorithm for distinguishing connected regions in digital model;Engineering Analysis with Boundary Elements;2024-11

2. Long-term dynamics of a stabilized time-space discretization scheme for 2D time-fractional Allen–Cahn equation with double well potential;Journal of Computational and Applied Mathematics;2024-10

3. The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation;Communications in Nonlinear Science and Numerical Simulation;2024-10

4. Linearly Implicit Schemes Preserve the Maximum Bound Principle and Energy Dissipation for the Time-fractional Allen–Cahn Equation;Journal of Scientific Computing;2024-09-11

5. Roundoff error problems in interpolation methods for time-fractional problems;Applied Numerical Mathematics;2024-09