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A constrained transport divergence-free finite element method for incompressible MHD equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 428, 页码: 22
Authors:  Li, Lingxiao;  Zhang, Donghang;  Zheng, Weiying
Favorite  |  View/Download:95/0  |  Submit date:2021/04/26
Magnetohydrodynamic equations  Constrained transport  Magnetic vector potential  Divergence-free finite element method  Block preconditioner  
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
Authors:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
Favorite  |  View/Download:97/0  |  Submit date: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
Authors:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
Favorite  |  View/Download:157/0  |  Submit date:2020/01/10
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
A fully divergence-free finite element method for magnetohydrodynamic equations 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 卷号: 28, 期号: 4, 页码: 659-695
Authors:  Hiptmair, Ralf;  Li, Lingxiao;  Mao, Shipeng;  Zheng, Weiying
Favorite  |  View/Download:129/0  |  Submit date:2018/07/30
Magnetohydrodynamic equations  divergence-free finite element method  preconditioner  magnetic vector potential  driven cavity flow  
不可压缩流基于块预处理的并行有限元计算 期刊论文
计算物理, 2018, 卷号: 035, 期号: 002, 页码: 151
Authors:  李凌霄
Favorite  |  View/Download:118/0  |  Submit date:2020/01/10
A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 254-270
Authors:  Li, Lingxiao;  Zheng, Weiying
Favorite  |  View/Download:110/0  |  Submit date:2018/07/30
Incompressible magnetohydrodynamic equations  Mixed finite element method  Block preconditioner  grad-div stabilization  Newton's method