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.[著者文摘]
文章出处:
《应用数学》-2007年20卷1期 -196-202页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847(2007)01-0196-07
The Nonconforming Finite Element Approximations to Hyperbolic Equation on Anisotropic Meshes
SHI Dong-yang ,GONG Wei (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.[著者文摘]
Key words:
Hyperbolic equation; Anisotropie meshes;Nonconforming finite elements; Semi-discrete ; Supereonvergence
收稿日期: 2006-06-28
基金资助:
国家自然科学基金资助项目(10371113)

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