EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 50 5 (2016) 1523-1560 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Energy-decreasing implicit-explicit Runge-Kutta methods for the modified phase field crystal equation

Qi Xin and Xian-Ming Gu
Journal of Applied Mathematics and Computing (2025)
https://doi.org/10.1007/s12190-025-02532-x

A new space-fractional modified phase field crystal equation and its numerical algorithm

Linlin Bu, Rui Li, Liquan Mei and Ying Wang
Applied Mathematics Letters 158 109216 (2024)
https://doi.org/10.1016/j.aml.2024.109216

Linear and unconditionally energy stable schemes for the modified phase field crystal equation

Yihong Liang and Hongen Jia
Computers & Mathematics with Applications 153 197 (2024)
https://doi.org/10.1016/j.camwa.2023.11.008

Stability and Error Analysis for a C$$^0$$ Interior Penalty Method for the Modified Phase Field Crystal Equation

Amanda E. Diegel, Daniel Bond and Natasha S. Sharma
La Matematica 3 (4) 1426 (2024)
https://doi.org/10.1007/s44007-024-00133-x

Isogeometric collocation method to simulate phase-field crystal model

Reza Masoumzadeh, Mostafa Abbaszadeh and Mehdi Dehghan
International Journal of Numerical Methods for Heat & Fluid Flow 34 (9) 3493 (2024)
https://doi.org/10.1108/HFF-01-2024-0020

Error estimates for the Scalar Auxiliary Variable (SAV) schemes to the modified phase field crystal equation

Longzhao Qi and Yanren Hou
Journal of Computational and Applied Mathematics 417 114579 (2023)
https://doi.org/10.1016/j.cam.2022.114579

Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation

Matthieu Brachet, Philippe Parnaudeau and Morgan Pierre
Discrete and Continuous Dynamical Systems - S 15 (8) 1987 (2022)
https://doi.org/10.3934/dcdss.2022110

$ C^1 $-VEM for some variants of the Cahn-Hilliard equation: A numerical exploration

Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca and Marco Verani
Discrete and Continuous Dynamical Systems - S 15 (8) 1919 (2022)
https://doi.org/10.3934/dcdss.2022038

Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential

Shuaichao Pei, Yanren Hou and Wenjing Yan
Numerical Methods for Partial Differential Equations 38 (1) 65 (2022)
https://doi.org/10.1002/num.22828

Novel linear decoupled and unconditionally energy stable numerical methods for the modified phase field crystal model

Zhengguang Liu and Shuangshuang Chen
Applied Numerical Mathematics 163 1 (2021)
https://doi.org/10.1016/j.apnum.2021.01.004

Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction

Qi Li, Liquan Mei and Yibao Li
Journal of Computational and Applied Mathematics 389 113335 (2021)
https://doi.org/10.1016/j.cam.2020.113335

A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation

Shuaichao Pei, Yanren Hou and Qi Li
Computers & Mathematics with Applications 103 104 (2021)
https://doi.org/10.1016/j.camwa.2021.10.029

Error estimates for second-order SAV finite element method to phase field crystal model

Liupeng Wang and Yunqing Huang
Electronic Research Archive 29 (1) 1735 (2021)
https://doi.org/10.3934/era.2020089

REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES FOR GRADIENT-LIKE FLOWS

Anass Bouchriti, Morgan Pierre and Nour Eddine Alaa
Journal of Applied Analysis & Computation 10 (5) 2198 (2020)
https://doi.org/10.11948/20190373

Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation

Zhengguang Liu and Xiaoli Li
Numerical Algorithms 85 (1) 107 (2020)
https://doi.org/10.1007/s11075-019-00804-9

Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation

Zhengguang Liu and Xiaoli Li
Applied Numerical Mathematics 150 491 (2020)
https://doi.org/10.1016/j.apnum.2019.10.019

Well-posedness for modified higher-order anisotropic Cahn–Hilliard equations

Shuiran Peng and Hongyi Zhu
Asymptotic Analysis 111 (3-4) 201 (2019)
https://doi.org/10.3233/ASY-181494

Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation

Qi Li, Liquan Mei, Xiaofeng Yang and Yibao Li
Advances in Computational Mathematics 45 (3) 1551 (2019)
https://doi.org/10.1007/s10444-019-09678-w

Phase-field modeling of crystal nucleation in undercooled liquids – A review

László Gránásy, Gyula I. Tóth, James A. Warren, Frigyes Podmaniczky, György Tegze, László Rátkai and Tamás Pusztai
Progress in Materials Science 106 100569 (2019)
https://doi.org/10.1016/j.pmatsci.2019.05.002

Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation

Lixiu Dong, Wenqiang Feng, Cheng Wang, Steven M. Wise and Zhengru Zhang
Computers & Mathematics with Applications 75 (6) 1912 (2018)
https://doi.org/10.1016/j.camwa.2017.07.012