| 二阶双曲问题各向异性非协调元的收敛性分析 |
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| 引用本文： | 曹殿立,石东洋.二阶双曲问题各向异性非协调元的收敛性分析[J].河南科学,2006,24(5):625-628. |
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| 作者姓名： | 曹殿立 石东洋 |
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| 作者单位： | 1. 河南农业大学,信息与管理科学学院,郑州,450002
2. 郑州大学,数学系,郑州,450052 |
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| 摘 要： | 运用具有各向异性特征的非协调元(修正的旋转Q1元)对二阶双曲方程进行了Galerkin逼近,通过采用积分恒等式和边界估计技巧,得到了相应的最优误差估计.
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| 关 键 词： | 各向异性 非协调元 二阶双曲方程 积分恒等式 最优误差估计 |
| 文章编号： | 1004-3918(2006)05-0625-04 |
| 收稿时间： | 2006-07-06 |
| 修稿时间： | 2006年7月6日 |
Convergence Analysis for Second Order Hyperbolic Equation with Anisotropic Nonconforming Finite Element |
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| CAO Dian-li,Shi Dong-yang.Convergence Analysis for Second Order Hyperbolic Equation with Anisotropic Nonconforming Finite Element[J].Henan Science,2006,24(5):625-628. |
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| Authors: | CAO Dian-li Shi Dong-yang |
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| Institution: | 1. Science College of Information and Administration, Henan Agricultural University, Zhengzhou 450002, 2. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China |
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| Abstract: | In this paper, Galerkin approximations of Second order hyperbolic equation is studied with the anisotropic modified rotated Q1-element. By means of integral identities and boundary estimates techniques, the optional error estimation is presented for hyperbolic equation. |
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| Keywords: | anisotropy nonconforming element second order hyperbolic equation integral identities optional error estimation |
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