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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
Authors:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
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Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
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Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
Authors:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
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Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
Authors:  Shen, Yue;  Gong, Wei;  Yan, Ningning
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Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
On networks over finite rings 期刊论文
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 卷号: 359, 期号: 14, 页码: 7562-7599
Authors:  Cheng, Daizhan;  Ji, Zhengping
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Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in L-2(Gamma) 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 36
Authors:  Zhou, Kaiye;  Gong, Wei
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Dirichlet boundary control  Stokes equations  Polygonal/polyhedral domain  Smooth domain  Finite elements  Error estimates  
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials 期刊论文
CALCOLO, 2022, 卷号: 59, 期号: 1, 页码: 32
Authors:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
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Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
A Fully Divergence-Free Finite Element Scheme for Stationary Inductionless Magnetohydrodynamic Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 2, 页码: 30
Authors:  Zhang, Xiaodi;  Wang, Xiaorong
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Mixed finite element method  Divergence-free  Inductionless MHD equations  Conservation of charge and mass  
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
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Magnetohydrodynamic  Magnetic vector potential  Finite element method  Error estimates  
H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 23
Authors:  Li, Hongliang;  Ming, Pingbing;  Wang, Huiyu
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Strain gradient elasticity  H2-Korn's  Robust finite elements