| 非线性纵横波耦合问题半离散有限元法的误差估计 |
| |
| 引用本文： | 闫志忠,汪越胜.非线性纵横波耦合问题半离散有限元法的误差估计[J].四川师范大学学报(自然科学版),2006,29(6):676-679. |
| |
| 作者姓名： | 闫志忠 汪越胜 |
| |
| 作者单位： | 北京交通大学,土木建筑工程学院,北京,100044 |
| |
| 摘 要： | 研究了一类纵横波耦合方程的半离散有限元方法的数值逼近，通过椭圆投影算子，运用泛函分析和Sobolev空间的逼近理论，得到了非线性纵横波耦合方程组半离散有限元解的误差估计，并给出了椭圆投影算子的界定常数．
|
| 关 键 词： | 纵横波耦合 非线性 椭圆投影算子 误差估计 |
| 文章编号： | 1001-8395（2006）06-0676-04 |
| 收稿时间： | 2004-12-01 |
| 修稿时间： | 2004年12月1日 |
Error Estimation of Semidiscretized Finite Element for Nonlinear Transverse and Longitudinal Wave Coupled Equations Set |
| |
| YAN Zhi-zhong,WANG Yue-sheng.Error Estimation of Semidiscretized Finite Element for Nonlinear Transverse and Longitudinal Wave Coupled Equations Set[J].Journal of Sichuan Normal University(Natural Science),2006,29(6):676-679. |
| |
| Authors: | YAN Zhi-zhong WANG Yue-sheng |
| |
| Institution: | Department of Civil Engineering, Beijing Jiaotong University, Beijing 100044 |
| |
| Abstract: | In this paper, error estimation of semidiscretized finite element for nonlinear transvers-longitudinal wave coupled equations set is obtained by introducing elliptic projection operator, functional analysis and approximation theorem of Sobolev space. Definition constant of elliptic projection operator is also presented. |
| |
| Keywords: | Transverse-longitudinal wave coupling Elliptic projection operator Error estimation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
