| 一类非线性伪双曲方程Adini元的超收敛性分析 |
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| 引用本文： | 乔保民.一类非线性伪双曲方程Adini元的超收敛性分析[J].吉林大学学报(理学版),2011,49(4):638-642. |
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| 作者姓名： | 乔保民 |
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| 作者单位： | 商丘师范学院 数学系, 河南 商丘 476000 |
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| 基金项目： | 国家自然科学基金，河南省自然科学基金 |
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| 摘 要： | 在半离散格式下, 讨论一类伪双曲方程的Adini元逼近, 通过导数转移方法和平均值技巧, 给出了其近似解与精确解的误差估计及超逼近性, 并使用插值后处理技巧得到了相应的整体超收敛结果.
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| 关 键 词： | 伪双曲方程 Adini元 误差估计 超逼近 超收敛 |
| 收稿时间： | 2010-09-13 |
Superconvergence Analysis of Adini' s Finite Element for a Kind of Nonlinear Pseudo-hyperbolic Equations |
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| QIAO Bao-min.Superconvergence Analysis of Adini' s Finite Element for a Kind of Nonlinear Pseudo-hyperbolic Equations[J].Journal of Jilin University: Sci Ed,2011,49(4):638-642. |
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| Authors: | QIAO Bao-min |
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| Institution: | Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan Province, China |
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| Abstract: | This paper deals with the convergence analysis for a kind of nonlinear pseudo hyperbolic equations with semidiscretization
by Adini’s finite element. Error estimates and result of superclose were obtained by some novel approaches and techniques. Finally, the corresponding global superconvergence was got by taking the technique of the post processing operator. |
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| Keywords: | pseudo hyperbolic equation Adini’s finite element error estimate superclose superconvergence |
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