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A highly accurate bound-preserving phase field method for incompressible two-phase flows
期刊论文
PHYSICS OF FLUIDS, 9, 2022, 卷号: 34, 页码: 92103
作者:
Xiao, Yao
;
Zeng, Zhong
;
Zhang, Liangqi
;
Wang JZ(王静竹)
;
Wang YW(王一伟)
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/10/23
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
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  |  
浏览/下载:14/0
  |  
提交时间:2022/08/09
time-fractional Allen-Cahn equation
nonuniform time meshes
local discontinuous galerkin method
stability and convergence
Physics-informed neural networks for phase-field method in two-phase flow
期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 5, 页码: 15
作者:
Qiu, Rundi
;
Huang, Renfang
;
Xiao, Yao
;
Wang, Jingzhu
;
Zhang, Zhen
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  |  
浏览/下载:46/0
  |  
提交时间:2022/07/18
A spectral element-based phase field method for incompressible two-phase flows
期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 2, 页码: 17
作者:
Xiao Y
;
Zeng Z
;
Zhang LQ
;
Wang JZ(王静竹)
;
Wang YW(王一伟)
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  |  
浏览/下载:20/0
  |  
提交时间:2022/05/17
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
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  |  
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
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  |  
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
STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2866-2899
作者:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
stochastic Cahn-Hilliard equation
spectral Galerkin method
accelarated implicit Euler method
strong convergence rate
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:
Cui, Jianbo
;
Hong, Jialin
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  |  
浏览/下载:12/0
  |  
提交时间:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
Strong convergence rate
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:165/0
  |  
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
收藏
  |  
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
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