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High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface 期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
作者:  Cui, Tao;  Leng, Wei;  Liu, Huaqing;  Zhang, Linbo;  Zheng, Weiying
收藏  |  浏览/下载：196/0  |  提交时间：2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
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：139/0  |  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：306/0  |  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：209/0  |  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：181/0  |  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：165/0  |  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：171/0  |  提交时间：2018/07/30
Elastic wave equation  adaptive finite element  perfectly matched layer  a posteriori error estimate  
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 3, 页码: 917-935
作者:  Ren, Jincheng;  Long, Xiaonian;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载：181/0  |  提交时间：2018/07/30
Fractional diffusion-wave equation  Finite element method  Fully discrete scheme  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：131/0  |  提交时间：2018/07/30
Acoustic scattering problem  Adaptive finite element method  Transparent boundary condition  A posteriori error estimate  
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 321, 页码: 416-426
作者:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
收藏  |  浏览/下载：158/0  |  提交时间：2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem