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双曲型方程的一类各向异性非协调有限元逼近
引用本文:石东洋,龚伟.双曲型方程的一类各向异性非协调有限元逼近[J].应用数学,2007,20(1):196-202.
作者姓名:石东洋  龚伟
作者单位:郑州大学数学系,河南,郑州,450052
摘    要:在各向异性条件下,讨论了双曲型方程的一类非协调有限元逼近,给出了半离散格式下的最优误差估计.同时通过新的技巧和精细估计得到了一些超逼近性质和超收敛结果.

关 键 词:双曲型方程  各向异性  非协调元  半离散  超收敛
文章编号:1001-9847(2007)01-0196-07
修稿时间:2006-06-28

The Nonconforming Finite Element Approximations to Hyperbolic Equation on Anisotropic Meshes
SHI Dong-yang,GONG Wei.The Nonconforming Finite Element Approximations to Hyperbolic Equation on Anisotropic Meshes[J].Mathematica Applicata,2007,20(1):196-202.
Authors:SHI Dong-yang  GONG Wei
Institution:Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China
Abstract:A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes,the optimal error estimates are derived.Furthermore,some superclose and the global superconvergence results are obtained by novel techniques and sharp estimates.
Keywords:Hyperbolic equation  Anisotropic meshes  Nonconforming finite elements  Semi-discrete  Superconvergence  
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