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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
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View/Download:25/0
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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
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View/Download:27/0
  |  
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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  |  
Submit date:2018/07/30
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
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  |  
View/Download:15/0
  |  
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
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View/Download:19/0
  |  
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
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View/Download:13/0
  |  
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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View/Download:15/0
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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
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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
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View/Download:16/0
  |  
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
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Submit date:2018/07/30
Boundary finite element spaces
inverse estimates
multilevel norm equivalences