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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
Authors:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
Favorite  |  View/Download：13/0  |  Submit date：2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
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：19/0  |  Submit date：2018/07/30
Magnetohydrodynamic equations  divergence-free finite element method  preconditioner  magnetic vector potential  driven cavity flow  
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705-730
Authors:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
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fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence estimate  
The Morley-Type Virtual Element for Plate Bending Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 76, 期号: 1, 页码: 610
Authors:  Zhao, Jikun;  Zhang, Bei;  Chen, Shaochun;  Mao, Shipeng
Favorite  |  View/Download：7/0  |  Submit date：2019/12/31
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
Authors:  Hiptmair, Ralf;  Li, Lingxiao;  Mao, Shipeng;  Zheng, Weiying
Favorite  |  View/Download：9/0  |  Submit date：2019/12/31
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705
Authors:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
Favorite  |  View/Download：8/0  |  Submit date：2019/12/31
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
Authors:  Ren, Jincheng;  Long, Xiaonian;  Mao, Shipeng;  Zhang, Jiwei
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Fractional diffusion-wave equation  Finite element method  Fully discrete scheme  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
Authors:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
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A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
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
Authors:  Zhao, Jikun;  Mao, Shipeng;  Zheng, Weiying
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magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES 期刊论文
MATHEMATICS OF COMPUTATION, 2015, 卷号: 84, 期号: 296, 页码: 2589-2615
Authors:  Hiptmair, Ralf;  Jerez-Hanckes, Carlos;  Mao, Shipeng
Favorite  |  View/Download：4/0  |  Submit date：2018/07/30
Boundary finite element spaces  inverse estimates  multilevel norm equivalences