AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS
AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS
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发表时间：
2005
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通讯作者：
Dong-yangShi;Shi-pengMao;Shao-chunChen
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作者：
Dong-yangShi;Shi-pengMao;Shao-chunChen
本文的主要目的是研究各向异性网格下具有超收敛结果的非协调有限元的误差估计。利用一些新的方法和技术，分别得到了各向异性内插误差和一致性误差估计。此外，在没有网格的正则性假设和准一致假设要求的情况下，还得到了单元中心点的超逼近和超收敛估计。最后进行了数值试验，结果与理论分析相吻合。
The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches and techniques, respectively. Furthermore, the superclose and a superconvergence estimate on the central points of elements are also obtained without the regularity assumption and quasi-uniform assumption requirement on the meshes. Finally, a numerical test is carried out, which coincides with our theoretical analysis.