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Local Discontinuous Galerkin Method Coupled with Nonuniform Time Discretizations for Solving the Time-Fractional Allen-Cahn Equation
期刊论文
FRACTAL AND FRACTIONAL, 2022, 卷号: 6, 期号: 7
作者:
Wang, Zhen
;
Sun, Luhan
;
Cao, Jianxiong
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/08/09
time-fractional Allen-Cahn equation
nonuniform time meshes
local discontinuous galerkin method
stability and convergence
A finite element method for Allen-Cahn equation on deforming surface
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 90, 页码: 148-158
作者:
Olshanskii, Maxim
;
Xu, Xianmin
;
Yushutin, Vladimir
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2021/10/26
Allen-Cahn
Surface PDEs
Evolving surfaces
Trace FEM
Geodesic mean curvature flow
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2022/04/02
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
adaptive time stepping
max-imum principle
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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  |  
浏览/下载:163/0
  |  
提交时间:2020/06/30
Time-fractional Allen-Cahn equation
Alikhanov formula
Adaptive time-stepping strategy
Discrete maximum principle
Sharp error estimate
ON ENERGY STABLE, MAXIMUM-PRINCIPLE PRESERVING, SECOND-ORDER BDF SCHEME WITH VARIABLE STEPS FOR THE ALLEN-CAHN EQUATION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2294-2314
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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  |  
浏览/下载:2/0
  |  
提交时间:2021/01/14
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:
Brehier, Charles-Edouard
;
Cui, Jianbo
;
Hong, Jialin
收藏
  |  
浏览/下载:54/0
  |  
提交时间:2020/01/10
stochastic Allen-Cahn equation
splitting scheme
strong convergence rate
exponential integrability
An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen–Cahn equation
期刊论文
Computers and Mathematics with Applications, 2019, 卷号: 77, 页码: 1042-1054
作者:
Long, Jianmin
;
Luo, Chaojun
;
Yu, Qian
;
Li, Yibao
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  |  
浏览/下载:5/0
  |  
提交时间:2019/11/19
Allen&ndash
Cahn equation
Finite difference method
Fourth-order compact scheme
Unconditional stability
A two-level finite element method for the Allen–Cahn equation
期刊论文
International Journal of Computer Mathematics, 2019, 卷号: 96, 页码: 158-169
作者:
Liu, Qingfang
;
Zhang, Ke
;
Wang, Zhiheng
;
Zhao, Jiakun
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  |  
浏览/下载:10/0
  |  
提交时间:2019/11/19
Discrete energies
Fully implicit scheme
Implicit treatment
Nonlinear problems
Numerical experiments
Numerical tests
Stability and convergence
Two level methods
Asymptotics for the Fractional Allen-Cahn Equation and Stationary Nonlocal Minimal Surfaces
期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 231, 期号: 2
作者:
Millot, Vincent
;
Sire, Yannick
;
Wang, Kelei
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/05
CRANK-NICOLSON LEGENDRE SPECTRAL APPROXIMATION FOR SPACE-FRACTIONAL ALLEN-CAHN EQUATION
期刊论文
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019
作者:
Chen, Wenping
;
Lu, Shujuan
;
Chen, Hu
;
Liu, Haiyu
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2019/12/30
Space-fractional Allen-Cahn equation
Legendre spectral method
modified Crank-Nicolson scheme
stability
convergence
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