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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:180/0  |  提交时间:2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B816-B842
作者:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
收藏  |  浏览/下载:124/0  |  提交时间:2019/10/28
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B796-B815
作者:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
收藏  |  浏览/下载:232/0  |  提交时间:2020/01/10
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 卷号: 37, 期号: 11, 页码: 1479-1500
作者:  Zhao, Jikun;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
Global small solutions of 2-D incompressible MHD system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5440-5485
作者:  Lin, Fanghua;  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
Inviscid MHD system  Anisotropic Littlewood-Paley theory  Dissipative estimates  Lagrangian coordinates