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Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 24
Authors:  Ding, Qianqian;  Long, Xiaonian;  Mao, Shipeng
Favorite  |  View/Download:24/0  |  Submit date:2022/04/02
Magnetohydrodynamic  Magnetic vector potential  Finite element method  Error estimates  
Computable Interpolation Error Constants for the Geometric Simplex Finite Elements 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 87, 期号: 1, 页码: 21
Authors:  Hao, Tingting;  Guan, Xiaofei;  Mao, Shipeng;  Chen, Shaochun
Favorite  |  View/Download:54/0  |  Submit date:2021/04/26
Error Estimation  Interpolation error constants  Geometric simplex meshes  Finite element methods  
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:82/0  |  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:86/0  |  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
Favorite  |  View/Download:78/0  |  Submit date:2018/07/30
fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence 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
Authors:  Ren, Jincheng;  Long, Xiaonian;  Mao, Shipeng;  Zhang, Jiwei
Favorite  |  View/Download:59/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:52/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:56/0  |  Submit date:2018/07/30
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:35/0  |  Submit date:2018/07/30
Boundary finite element spaces  inverse estimates  multilevel norm equivalences  
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 64, 期号: 2, 页码: 368-400
Authors:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
Favorite  |  View/Download:43/0  |  Submit date:2018/07/30
A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients