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Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载：171/0  |  提交时间：2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
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：121/0  |  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：217/0  |  提交时间：2020/01/10
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
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
作者:  Hiptmair, Ralf;  Li, Lingxiao;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载：171/0  |  提交时间：2018/07/30
Magnetohydrodynamic equations  divergence-free finite element method  preconditioner  magnetic vector potential  driven cavity flow  
CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2018, 卷号: 16, 期号: 4, 页码: 987-1016
作者:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
收藏  |  浏览/下载：148/0  |  提交时间：2019/01/11
Elastic wave equation  perfectly matched layer  biperiodic structures  transparent boundary condition  
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
作者:  Li, Lingxiao;  Zheng, Weiying
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Incompressible magnetohydrodynamic equations  Mixed finite element method  Block preconditioner  grad-div stabilization  Newton's method  
AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 卷号: 51, 期号: 5, 页码: 2017-2047
作者:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
Elastic wave equation  adaptive finite element  perfectly matched layer  a posteriori error estimate  
An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 3, 页码: 936-956
作者:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Acoustic scattering problem  Adaptive finite element method  Transparent boundary condition  A posteriori error estimate  
Maxwell's equations in an unbounded structure 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 3, 页码: 573-588
作者:  Li, Peijun;  Zheng, Gaofeng;  Zheng, Weiying
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Maxwell's equations  generalized Lax-Milgram theorem  unbounded rough surface  
An Adaptive FEM for a Maxwell Interface Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 67, 期号: 2, 页码: 669-704
作者:  Duan, Huoyuan;  Qiu, Fengjuan;  Tan, Roger C. E.;  Zheng, Weiying
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Edge element method  A posteriori error estimate  Optimality  Maxwell's equations  Interface problem