二阶常微初值问题的时间间断最小二乘有限元法  

Time-discontinuous least-squares finite element method for initial value problem of second-order ordinary differential equations

作　　者：赖军将[1] 

机构地区：[1]闽江学院数学系,福州350108

出　　处：《应用数学与计算数学学报》2012年第1期35-44,共10页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11101199);福建省自然科学基金资助项目(2009J05011)

摘　　要：采用时间间断最小二乘线性有限元方法求解二阶常微分方程初值问题.利用回收技巧及离散Gronwall引理证明了方法的稳定性.通过引入有限元空间上的范数,给出了方法在该范数意义下丰满的误差估计.数值实验验证了理论分析结果.The time-discontinuous linear least-squares finite element method is applied to solve the initial value problem of second-order ordinary differential equa- tion. The stability of this method is proved by using the absorbing technique and the discrete Gronwall＇s lemma, and the sharp error estimate is obtained by intro- ducing a norm in the finite element space. Some numerical examples are presented to verifv the theoretical analvsis.

关 键 词：时间间断 有限元 最小二乘 误差估计 稳定性 

分 类 号：O241.81[理学—计算数学]