中文摘要：

讨论了均匀棒纯纵向运动初值问题的混合有限元方法，给出了混合有限元解的误差分析，得到了混合有限元解的L^2误差估计．

英文摘要：

The author consider the mixed finite element simulation for the initial-value problems of purely longtudinal motion of a humogeneous bar. The error analysis of the solution of the mixed finite element scheme and the error estimates for the semi-discrete scheme are given.