| 一类非线性广义神经传播方程Adini元的超收敛分析 |
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| 引用本文： | 乔保民,梁洪亮.一类非线性广义神经传播方程Adini元的超收敛分析[J].山东大学学报(理学版),2011,46(8):42-46. |
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| 作者姓名： | 乔保民 梁洪亮 |
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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： | 国家自然科学基金资助项目(10971203); 河南教育厅自然科学基金资助项目(2010A110014) |
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| 摘 要： | 讨论了Adini元对一类非线性广义神经传播方程的逼近,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,通过使用插值后处理技巧得到了整体超收敛结果。
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| 关 键 词： | 神经传播方程 Adini元 误差估计 超逼近 超收敛 |
| 收稿时间： | 2010-09-12 |
Super-convergence analysis of Adini′s finite element for a kind of nonlinear generalized nerve conductive equations |
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| QIAO Bao-min,LIANG Hong-liang.Super-convergence analysis of Adini′s finite element for a kind of nonlinear generalized nerve conductive equations[J].Journal of Shandong University,2011,46(8):42-46. |
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| Authors: | QIAO Bao-min LIANG Hong-liang |
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| Institution: | Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan, China |
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| Abstract: | The convergence analysis is studied for a kind of nonlinear generalized nerve conductive equations by Adini′s finite element. Error estimates and result of superclose are obtained by using some novel approaches and techniques. Finally, the corresponding global superconvergence is obtained by taking the advantage of the post-processing technique. |
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| Keywords: | nerve conductive equations Adini＇ s finite element error estimate super-close super-convergence |
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