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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
作者:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
收藏  |  浏览/下载：176/0  |  提交时间：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
作者:  Hiptmair, Ralf;  Li, Lingxiao;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载：173/0  |  提交时间：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
作者:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载：154/0  |  提交时间：2018/07/30
fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence 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：126/0  |  提交时间：2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
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
作者:  Hiptmair, Ralf;  Jerez-Hanckes, Carlos;  Mao, Shipeng
收藏  |  浏览/下载：93/0  |  提交时间：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
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients  
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 264, 页码: 346-358
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 3, 页码: 815-825
作者:  Chen Shaochun;  Zheng Yanjun;  Mao Shipeng
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
planar elasticity problems  pure displacement and traction boundary conditions  nonconforming finite element  discrete Korn's second inequality  
ACCURACY ENHANCEMENT FOR THE SIGNORINI PROBLEM WITH FINITE ELEMENT METHOD 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 3, 页码: 897-908
作者:  Li, Mingxia;  Chen, Hongtao;  Mao, Shipeng
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
finite element methods  the Signorini problem  superconvergence  
QUASI-OPTIMALITY OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 3, 页码: 970-991
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality