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The Convergence Analysis of a Class of Stabilized Semi-Implicit Isogeometric Methods for the Cahn-Hilliard Equation
期刊论文
Journal of Scientific Computing,2025, 卷号: 102, 期号: 1
作者:
Meng, Xucheng
;
Qin, Yuzhe
;
Hu, Guanghui
收藏
  |  
浏览/下载:15/0
  |  
提交时间:2025/03/10
Cahn-Hilliard equation
Convergence analysis
Energy stability analysis
Isogeometric analysis
Stabilized semi-implicit scheme
Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows
期刊论文
Journal of Scientific Computing,2022, 卷号: 93, 期号: 2
作者:
Tang, Tao
;
Wu, Xu
;
Yang, Jiang
收藏
  |  
浏览/下载:33/0
  |  
提交时间:2023/02/14
Allen–Cahn equation
Cahn–Hilliard equation
Convergence and error analysis
Energy stability
Gradient flows
Phase-field models
STABILITY AND CONVERGENCE ANALYSIS FOR THE IMPLICIT-EXPLICIT METHOD TO THE CAHN-HILLIARD EQUATION
期刊论文
Mathematics of Computation,2022, 卷号: 91, 期号: 334, 页码: 785-809
作者:
Li, Dong
;
Quan, Chaoyu
;
Tang, Tao
收藏
  |  
浏览/下载:43/0
  |  
提交时间:2022/05/05
Cahn-hilliard equation
Implicit-explicit method
Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials
期刊论文
Annals of Applied Mathematics,2021, 卷号: 37, 期号: 1, 页码: 31-60
作者:
Li, Dong
;
Tang, Tao
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2022/05/23
Cahn-Hilliard equation
logarithmic kernel
semi-implicit scheme
energy stability
How to Define Dissipation-Preserving Energy for Time-Fractional Phase-Field Equations
期刊论文
CSIAM Transactions on Applied Mathematics,2020, 卷号: 1, 期号: 3, 页码: 478-490
作者:
Quan, Chaoyu
;
Tang, Tao
;
Yang, Jiang
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2021/08/05
Phase-field equation
energy dissipation
Caputo fractional derivative
Allen-Cahn equations
Cahn-Hilliard equations
positive definite kernel
On energy dissipation theory and numerical stability for time-fractional phase-field equations
期刊论文
SIAM Journal on Scientific Computing,2019, 卷号: 41, 期号: 6, 页码: A3757-A3778
作者:
Tang, Tao
;
Yu, Haijun
;
Zhou, Tao
Adobe PDF(1073Kb)
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收藏
  |  
浏览/下载:79/28
  |  
提交时间:2021/04/23
Allen-Cahn equation
Cahn-Hilliard equation
Energy dissipation law
Maximum principle
MBE model
Time-fractional phase-field equations
Convergence analysis of exponential time differencing schemes for the cahn-hilliard equation
期刊论文
Communications in Computational Physics,2019, 卷号: 26, 期号: 5, 页码: 1510-1529
作者:
Li, Xiao
;
Ju, Lili
;
Meng, Xucheng
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2022/05/17
Cahn-Hilliard equation
Convergence analysis
Exponential time differencing
Uniform L∞ boundedness
Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
期刊论文
Communications in Computational Physics,2016, 卷号: 19, 期号: 5, 页码: 1542-1563
作者:
Luo, Fuesheng
;
Tang, Tao
;
Xie, Hehu
收藏
  |  
浏览/下载:28/0
  |  
提交时间:2021/05/10
Adaptive time-stepping method
Cahn-Hilliard equation
Crank-Nicolson scheme
convex splitting method
Fast and stable explicit operator splitting methods for phase-field models
期刊论文
Journal of Computational Physics,2015, 卷号: 303, 页码: 45-65
作者:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
收藏
  |  
浏览/下载:16/0
  |  
提交时间:2021/05/10
Adaptive time-stepping
Cahn-Hilliard equation
Large stability domain explicit Runge-Kutta methods
Molecular beam epitaxy equation
Operator splitting methods
Phase-field models
Pseudo-spectral methods
Semi-discrete finite-difference schemes
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models
期刊论文
East Asian Journal on Applied Mathematics,2013, 卷号: 3, 期号: 1, 页码: 59-80
作者:
Feng, Xinlong
;
Tang, Tao
;
Yang, Jiang
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2021/05/10
Adams-Bashforth scheme
Allen-Cahn equation
Cahn-Hilliard equation
Crank-Nicolson scheme
Error estimates
Implicit-explicit method