| 双曲积分微分方程的各向异性非协调有限元逼近 |
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| 引用本文： | 石东洋,谢萍丽,陈绍春.双曲积分微分方程的各向异性非协调有限元逼近[J].应用数学学报,2007,30(4):654-666. |
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| 作者姓名： | 石东洋 谢萍丽 陈绍春 |
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| 作者单位： | 郑州大学数学系,郑州,450052 |
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| 摘 要： | 讨论了双曲积分微分方程在半离散格式下的一类各向异性非协调有限元逼近,得到了与传统有限元方法相同的最优误差估计和超逼近性质.同时利用插值后处理技术得到了整体超收敛结果.
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| 关 键 词： | 双曲积分微分方程 各向异性网格 非协调元 后处理技术 超逼近和超收敛 |
| 修稿时间： | 2006-04-25 |
The Nonconforming Finite Element Approximation to Hyperbolic Intergrodifferential Equations on Anisotropic Meshes |
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| SHI DONGYANG,XIE PINGLI,CHEN SHAOCHUN.The Nonconforming Finite Element Approximation to Hyperbolic Intergrodifferential Equations on Anisotropic Meshes[J].Acta Mathematicae Applicatae Sinica,2007,30(4):654-666. |
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| Authors: | SHI DONGYANG XIE PINGLI CHEN SHAOCHUN |
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| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052 |
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| Abstract: | A kind of nonconforming finite element approximation to hyperbolic intergrod- ifferential equations is discussed with semidiscretization on anisotropic meshes,the same optimal error estimates and superclose property as the traditional methods are derived. Furthermore,the global superconvergence is obtained through post-processing technique. |
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| Keywords: | hyperbolic intergrodifferential equations anisotropic meshes nonconforming finite elements post-processing technique superclose property and superconvergence |
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