| 非线性抛物型积分微分方程非协调三角形Carey元的收敛性分析 |
| |
| 引用本文： | 石东洋,裴丽芳.非线性抛物型积分微分方程非协调三角形Carey元的收敛性分析[J].系统科学与数学,2009,29(6):854-864. |
| |
| 作者姓名： | 石东洋 裴丽芳 |
| |
| 作者单位： | 1. 郑州大学数学系,郑州,450052
2. 洛阳理工学院数理部,洛阳,471003 |
| |
| 基金项目： | 国家自然科学基金(10671184)资助课题 |
| |
| 摘 要： | 将非协调三角形Carey元应用于二维空间中的非线性抛物型积分微分方程.通过一些新的特殊方法和技巧,给出了有限元解的最优L<'2>模和能量模误差估计.
|
| 关 键 词： | 非线性抛物型积分微分方程 非协调三角形元 Carey元 最优误差估计 |
| 收稿时间： | 2006-12-22 |
| 修稿时间： | 2007-11-12 |
Convergence Analysis of the Nonconforming Triangular Carey Element for a Kind of Nonlinear Parabolic Integro-Differential Problems |
| |
| SHI Dongyang,PEI Lifang.Convergence Analysis of the Nonconforming Triangular Carey Element for a Kind of Nonlinear Parabolic Integro-Differential Problems[J].Journal of Systems Science and Mathematical Sciences,2009,29(6):854-864. |
| |
| Authors: | SHI Dongyang PEI Lifang |
| |
| Institution: | (1)Department of Mathematics, Zhengzhou University, Zhengzhou 450052; (2)Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang 471003. |
| |
| Abstract: | This paper deals with the convergence of the nonconforming triangular Carey element for a class of nonlinear parabolic integro-differential problems in two dimensional space. By means of some novel approaches and techniques, the optimal error estimates of $L^2$-norm and energy norm for the finite element solution are derived. |
| |
| Keywords: | Nonlinear parabolic integro-differential equation nonconforming triangular element Carey element optimal error estimate |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
