摘要
均匀棒纯纵向运动方程是一类重要的非线性发展方程,它典型反映了一类自由应力状态下均匀粘弹性棒的纯纵向运动问题。给出了均匀棒纯纵向运动方程初边值问题有限元方法的半离散格式,得到了最优的L2模和H1模误差估计。
The equation of purely longtudinal motion of a homogeneous bar is a kind of important nonlinear evolution equation,which reflects typical problem of a homogeneous viscoelastic bar＇s pure longtudinal motion under free stress station.Difference method and stability estimate for this problem have been used up to now.In this paper semi-discrete finite element method is studied for initial-boundary value problem of purely longtudinal motion of homogeneous bar and optimal and norm error estimates are obtained for the semi-discrete scheme.
出处
《山东建筑大学学报》
2010年第2期129-133,共5页
Journal of Shandong Jianzhu University
基金
山东省优秀中青年科学家奖励基金(2008BS05008)
山东建筑大学博士基金项目(724018)
关键词
均匀棒纯纵向运动方程
初边值问题
有限元方法
最优误差估计
purely longtudinal motion of a homogeneous bar
initial-bouddary value problem
finite element method
optimal error estimate
