An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
	Chen, ZM; Feng, J
刊名	MATHEMATICS OF COMPUTATION
	2004
卷号	73 期号:247 页码:1167-1193
ISSN号	0025-5718
英文摘要	An efficient and reliable a posteriori error estimate is derived for linear parabolic equations which does not depend on any regularity assumption on the underlying elliptic operator. An adaptive algorithm with variable time-step sizes and space meshes is proposed and studied which, at each time step, delays the mesh coarsening until the final iteration of the adaptive procedure, allowing only mesh and time-step size refinements before. It is proved that at each time step the adaptive algorithm is able to reduce the error indicators ( and thus the error) below any given tolerance within a finite number of iteration steps. The key ingredient in the analysis is a new coarsening strategy. Numerical results are presented to show the competitive behavior of the proposed adaptive algorithm.
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000221840200007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/875]
专题	计算数学与科学工程计算研究所
通讯作者	Chen, ZM
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZM,Feng, J. An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems[J]. MATHEMATICS OF COMPUTATION,2004,73(247):1167-1193.
APA	Chen, ZM,&Feng, J.(2004).An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems.MATHEMATICS OF COMPUTATION,73(247),1167-1193.
MLA	Chen, ZM,et al."An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems".MATHEMATICS OF COMPUTATION 73.247(2004):1167-1193.