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WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
Authors:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
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Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 卷号: 114, 页码: 25-36
Authors:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
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Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2011, 卷号: 53, 期号: 9-10, 页码: 1956-1969
Authors:  Shi, Dongyang;  Gong, Wei;  Ren, Jincheng
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Stationary Stokes and Navier-Stokes equations  Nonconforming mixed finite element scheme  Inf-sup condition  Optimal error estimates  
A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 2, 页码: 367-382
Authors:  Shi Dongyang;  Ren Jincheng;  Gong Wei
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Stationary Navier-Stokes equations  nonconforming mixed finite element scheme  optimal order error estimates  
A low order nonconforming anisotropic finite element approximation to parabolic problem 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 卷号: 22, 期号: 3, 页码: 518-532
Authors:  Shi, Dongyang;  Gong, Wei
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Anisotropic meshes  nonconforming element  parabolic problem  superclose  superconvergence  
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2007, 卷号: 4, 期号: 1, 页码: 16-38
Authors:  Mao, Shipeng;  Chen, Shaochun;  Shi, Dongyang
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nonconforming finite element  anisotropic meshes  superconvergence  extrapolation  
A note on the quadrilateral mesh condition RDP (N,psi) 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 卷号: 25, 期号: 1, 页码: 27-30
Authors:  Shi, Dongyang;  Shi, Zhong-Ci;  Wu, Jingzhu
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isoparametric finite element  optimal order error estimate  quadrilateral mesh condition  
anoteonthequadrilateralmeshconditionrdpn 期刊论文
journalofcomputationalmathematics, 2007, 卷号: 025, 期号: 001, 页码: 27
Authors:  Dongyang Shi;  ZhongCi Shi;  Jingzhu Wu
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A NOTE ON THE QUADRILATERAL MESH CONDITION RDP（N,ψ） 期刊论文
计算数学：英文版, 2007, 卷号: 25.0, 期号: 1.0, 页码: 27-30
Authors:  Dongyang Shi;  ZhongCi Shi;  Jingzhu Wu
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四边形  等参数元素  有限元分析  数值精确度  
三维stokes问题各向异性混合元分析 期刊论文
应用数学学报, 2006, 卷号: 29, 期号: 3, 页码: 502
Authors:  石东洋;  毛士鹏
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