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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
收藏  |  浏览/下载：109/0  |  提交时间：2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
作者:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
收藏  |  浏览/下载：132/0  |  提交时间：2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 24
作者:  Ding, Qianqian;  Long, Xiaonian;  Mao, Shipeng
收藏  |  浏览/下载：102/0  |  提交时间：2022/04/02
Magnetohydrodynamic  Magnetic vector potential  Finite element method  Error estimates  
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 26
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：193/0  |  提交时间：2020/06/30
Cahn-Hilliard gradient flow  Unconditionally stable  Stabilized semi-implicit scheme  Diffusive Crank-Nicolson scheme  Error analysis  Adaptive time stepping  
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 356, 页码: 435-464
作者:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
收藏  |  浏览/下载：196/0  |  提交时间：2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
Parallel energy-stable phase field crystal simulations based on domain decomposition methods 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2019, 卷号: 234, 页码: 26-39
作者:  Wei, Ying;  Yang, Chao;  Huang, Jizu
收藏  |  浏览/下载：180/0  |  提交时间：2019/01/11
Phase field crystal equation  Discrete variational derivative method  Unconditionally energy stable scheme  Domain decomposition method  
MEAN-SQUARE CONVERGENCE OF A SEMIDISCRETE SCHEME FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 728-750
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：175/0  |  提交时间：2020/01/10
mean-square convergence order  semidiscrete scheme  stochastic Maxwell equations  regularity  
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
收藏  |  浏览/下载：767/0  |  提交时间：2020/01/10
Allen-Cahn equation  energy stable  stabilized semi-implicit scheme  second order scheme  error estimate  
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 77, 期号: 2, 页码: 1185-1209
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：161/0  |  提交时间：2018/11/16
Phase field model  Cahn-Hilliard equation  Energy stable  Stabilized semi-implicit scheme  Second order time marching  
A lattice Boltzmann model for multiphase flows with moving contact line and variable density 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 353, 页码: 26-45
作者:  Huang, Jizu;  Wang, Xiao-Ping
收藏  |  浏览/下载：172/0  |  提交时间：2018/07/30
Lattice Boltzmann model  Variable density  Moving contact line  Slip boundary condition