Stability Analysis of Several Time Discrete Schemes for Allen–Cahn and Cahn–Hilliard Equations

被引：0
|
作者：
Qiaoling He
Junping Yan
Abudurexiti Abuduwaili
机构：
[1] College of Science,
[2] Shihezi University,undefined
[3] College of Mathematics and System Science,undefined
[4] Xinjiang University,undefined
来源：
Computational Mathematics and Mathematical Physics | 2023年 / 63卷
关键词：
Allen–Cahn equation; Cahn–Hilliard equation; mixed finite element methods; error estimates; stability analysis; positive definite operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
页码：1773 / 1786
页数：13
相关论文
共 50 条
  • [41] Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks
    Wight, Colby L.
    Zhao, Jia
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 29 (03) : 930 - 954
  • [42] ASYMPTOTIC BEHAVIOR OF A CAHN-HILLIARD/ALLEN-CAHN SYSTEM WITH TEMPERATURE
    Miranville, Alain
    Quintanilla, Ramon
    Saoud, Wafa
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (04) : 2257 - 2288
  • [43] Spinodal decomposition for spatially discrete Cahn-Hilliard equations
    Maier-Paape, S
    Moore, BE
    Van Vleck, ES
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (3-4): : 529 - 554
  • [44] The Cahn-Hilliard/Allen-Cahn equation with inertial and proliferation terms
    Sen, Zehra
    Khanmamedov, Azer
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 530 (02)
  • [45] On the viscous Allen-Cahn and Cahn-Hilliard systems with willmore regularization
    Makki, Ahmad
    APPLICATIONS OF MATHEMATICS, 2016, 61 (06) : 685 - 725
  • [46] THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CAHN-HILLIARD/ALLEN-CAHN EQUATION
    Tang, H.
    Liu, C.
    Zhao, Z.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (03): : 643 - 658
  • [47] Optimal Control Problem for the Cahn–Hilliard/Allen–Cahn Equation with State Constraint
    Xiaoli Zhang
    Huilai Li
    Changchun Liu
    Applied Mathematics & Optimization, 2020, 82 : 721 - 754
  • [48] On the viscous Allen-Cahn and Cahn-Hilliard systems with willmore regularization
    Ahmad Makki
    Applications of Mathematics, 2016, 61 : 685 - 725
  • [49] ON THE STEADY STATE BIFURCATION OF THE CAHN-HILLIARD/ALLEN-CAHN SYSTEM
    Li, Shixing
    Yan, Dongming
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (07): : 3077 - 3088
  • [50] Finite element approximation of an Allen-Cahn/Cahn-Hilliard system
    Barrett, JW
    Blowey, JF
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2002, 22 (01) : 11 - 71
12345