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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
作者:
Pan, Qing
;
Chen, Chong
;
Zhang, Yongjie Jessica
;
Yang, Xiaofeng
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  |  
浏览/下载:111/0
  |  
提交时间:2023/02/07
Loop subdivision
IGA-EIEQ
Decoupled
Unconditional energy stability
Allen-Cahn
Cahn-Hilliard
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:115/0
  |  
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:86/0
  |  
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:158/0
  |  
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:115/0
  |  
提交时间:2021/01/14
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: C294-C312
作者:
Huang, Jizu
;
Yang, Chao
;
Wei, Ying
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浏览/下载:139/0
  |  
提交时间:2021/04/26
coupled Allen-Cahn/Cahn-Hilliard system
discrete variational derivative method
unconditionally energy stable scheme
Newton-Krylov-Schwarz
domain decomposition method
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
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  |  
浏览/下载:168/0
  |  
提交时间:2020/01/10
stochastic Allen-Cahn equation
splitting scheme
strong convergence rate
exponential integrability
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
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  |  
浏览/下载:129/0
  |  
提交时间:2020/09/23
time-fractional phase-field equations
Allen-Cahn equation
Cahn-Hilliard equation
MBE model
energy dissipation law
maximum principle
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:
Cui, Jianbo
;
Hong, Jialin
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  |  
浏览/下载:164/0
  |  
提交时间:2020/01/10
one-sided Lipschitz coefficient
stochastic Allen-Cahn equation
finite element method
strong and weak convergence rate
Kolmogorov equation
Malliavin calculus
ENERGY STABLE SECOND ORDER LINEAR SCHEMES FOR THE ALLEN-CAHN PHASE-FIELD EQUATION
期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 卷号: 17, 期号: 3, 页码: 609-635
作者:
Wang, Lin
;
Yu, Haijun
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  |  
浏览/下载:672/0
  |  
提交时间:2020/01/10
Allen-Cahn equation
energy stable
stabilized semi-implicit scheme
second order scheme
error estimate