文献类型：期刊文章

作　　者：张铁[1]

机构地区：[1]东北大学数学系,沈阳110006

出　　处：《高等学校计算数学学报》

年　　份：2001

卷　　号：23

期　　号：3

起止页码：193-201

语　　种：中文

收录情况：AJ、BDHX、BDHX2000、CSCD、CSCD2011_2012、JST、MR、ZGKJHX、ZMATH、核心刊

摘　　要：The object of this paper is to investigate the superconvergence and ultraconvergence for the finite element approximations to integro-differential equations of parabolic type in one dimensional case. It is shown that the Lobatto, Gauss and quasi-Lobatto points on each subdivision element are superconvergence points for function, order-one and order-two derivative approximations, respectively. Another important result in our paper is that under a certain condition, we establish the ultraconvergence alternating theorem, where by ultraconvergence we denote the convergence rates are two-order higher than the optimal global convergence rates.

关 键 词：有限元 超收敛 抛物型 积分-微分方程 误差估计  收敛阶

分 类 号：O241.82] O175.6[数学类]