抛物型方程初边值问题的变网格有限元方法  

A FEM WITH MOVING GRID FOR LINEAR PARABOLIC EQUATION

作　　者：孙同军[1] 

机构地区：[1]山东大学数学系,济南250100

出　　处：《山东大学学报（自然科学版）》1999年第4期373-380,共8页Journal of Shandong University(Natural Science Edition)

基　　金：国家教委博士点基金

摘　　要：对线性抛物问题提出了一种全离散变网格计算格式,不需要对前一层值进行L2- 投影修正,通过误差分析证明了最优的L2 模和能量模误差估计-A full-discretization FEM with moving grid for linear parabolic equation is presented,in which the finite element solution at the last time is not projected on the next time finite element space using L 2-projection.It is proved that this method has optimal convergence error estimates in L 2-norm and energy norm under some sense.

关 键 词：抛物型方程 初边值问题 变网格有限元方法 误差估计 L^2模 能量模 全离散格式 

分 类 号：O175.26[理学—数学] O241.82[理学—基础数学]