具有最优阶精度的全离散变网格有限元  

A FULL-DISCRETIZATION MOVING FEM WITH OPTIMAL CONVERGENCE RATE

作　　者：梁国平[1] 陈志明[1] 

机构地区：[1]中国科学院数学研究所

出　　处：《计算数学》1990年第3期318-336,共19页Mathematica Numerica Sinica

摘　　要：§1.引言 解抛物型方程的通常做法是将时间方向采用差分近似,而空间方向采用有限元逼近.如果区域长柱形区域,现有的结果和方法比较完整.但是在某些情况下。By developping the idea of coordinate transformation of [2] this paper presents a fulldiscretization moving finite element scheme, which can apply to parabolic equations in any di-mension with variable domain. Under certain continuity assumptions about moving grid the op-timal convergence rate is preserved. A sufficient condition is obtained for preserving optimalconvergence rate of space-time finite element method proposed by Bonnerot and Jamet [3] andthus the result of paper [4] is just a particular case of this paper.

关 键 词：有限元 全离散格式 变网格 精度 

分 类 号：O242.21[理学—计算数学]