二阶双曲型方程的C^0-连续一次有限元法  

C^0-Continuous Time Stepping Linear Finite Element Method for Second Order Linear Hyperbolic Equations

作　　者：赖军将[1] 王强[1] 黄建国[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《上海交通大学学报》2008年第12期2065-2069,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(10771138)

摘　　要：对于二阶常微分方程初值问题,构造了C0-连续一次有限元法计算格式,通过直接计算的方法证明了误差估计,并利用数值实验验证了理论分析结果.对于二阶波动方程,构造了C0一次有限元法的计算格式,证明了解的存在惟一性,利用数值实验验证了该方法的有效性.This paper proposed a C^0-continuous time stepping linear finite element method to solve initialvalue problems for the second order scalar linear ordinary differential equation. Some error analysis results were proved by the direct computation. The numerical results coincide with the theoretical estimates. Furthermore, this method was extended to linear wave equations in two dimension, and some numerical tests were included to show the computational performance of the method.

关 键 词：C^0-连续一次有限元 常微分方程 波动方程 误差估计 

分 类 号：O241.81[理学—计算数学]