| 一类非线性拟双曲方程Hermite型有限元分析 |
| |
| 引用本文： | 梁洪亮,乔保民. 一类非线性拟双曲方程Hermite型有限元分析[J]. 河南科技大学学报(自然科学版), 2011, 32(6): 84-89,10 |
| |
| 作者姓名： | 梁洪亮 乔保民 |
| |
| 作者单位： | 商丘师范学院数学系,河南,商丘,476000 |
| |
| 基金项目： | 河南省自然科学基金项目，河南省教育厅自然科学研究基金项目 |
| |
| 摘 要： | 利用有限元方法研究一类广泛的非线性广义神经传播方程.首先,讨论其在半离散格式下解的收敛性;其次,利用插值算子与Ritz-Volterra投影相一致的特殊性质得到了解的超逼近性质;最后,通过构造一个插值后处理算子导出了解的整体超收敛结果.
|
| 关 键 词： | 广义神经传播方程 Hermite元 半离散 超收敛 |
Hermite Type Finite Element Analysis for a Class of Nonlinear Qusi-hyperbolic Equations |
| |
| LIANG Hong-Liang,QIAO Bao-Min. Hermite Type Finite Element Analysis for a Class of Nonlinear Qusi-hyperbolic Equations[J]. Journal of Henan University of Science & Technology:Natural Science, 2011, 32(6): 84-89,10 |
| |
| Authors: | LIANG Hong-Liang QIAO Bao-Min |
| |
| Affiliation: | (Department of Mathematics,Shangqiu Teachers College,Shangqiu 476000,China) |
| |
| Abstract: | In this paper,the generalized nonlinear nerve conductive equations were discussed by using finite element.Firstly,the convergence about the solution of these equations was obtained.Secondly,the result of superclose of the solution could be acquired by virtue of the property that the interpolation operator was accordant with the Ritz-Volterra projection.Finally,based on the interpolated postprocessing technique,the global superconvergence of the solution was derived. |
| |
| Keywords: | Generalized nonlinear nerve conductive equations Hermite element Semidiscretization Superconvergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
