抛物型积分-微分方程有限元近似的超收敛性质

• 作者: 张铁
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 关键词: superconvergence and ultraconvergence integro-differntial equation of parabolic type
• 年，卷（期）: 2001,（3）
• 页码范围: 193-201
• 页数: 9页
• 分类号: O241.81
• 字数: 4616字
• 语种: 中文
• DOI: 10.3969/j.issn.1000-081X.2001.03.001

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.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	张铁	东北大学数学系	61	543	13.0	21.0