Sharp L-1 a posteriori error analysis for nonlinear convection-diffusion problems

	Sharp L-1 a posteriori error analysis for nonlinear convection-diffusion problems
	Chen, ZM; Ji, GH
	2006
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	75 期号:253 页码:43-71
摘要	We derive sharp L-infinity (L-1) a posteriori error estimates for initial boundary value problems of nonlinear convection-diffusion equations of the form partial derivative u/partial derivative t + div f(u) - Delta A(u) = g under the nondegeneracy assumption A '(s) > 0 for any s is an element of R. The problem displays both parabolic and hyperbolic behavior in a way that depends on the solution itself. It is discretized implicitly in time via the method of characteristic and in space via continuous piecewise linear finite elements. The analysis is based on the Kruzkov "doubling of variables" device and the recently introduced "boundary layer sequence" technique to derive the entropy error inequality on bounded domains. The derived a posteriori error estimators have the correct convergence order in the region where the solution is smooth and recover the standard a posteriori error estimators known for parabolic equations with strong diffusions.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235146400003
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2591
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	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Isaac Newton Inst Math Sci, Cambridge, England
推荐引用方式 GB/T 7714	Chen, ZM,Ji, GH. Sharp L-1 a posteriori error analysis for nonlinear convection-diffusion problems[J]. MATHEMATICS OF COMPUTATION,2006,75(253):43-71.
APA	Chen, ZM,&Ji, GH.(2006).Sharp L-1 a posteriori error analysis for nonlinear convection-diffusion problems.MATHEMATICS OF COMPUTATION,75(253),43-71.
MLA	Chen, ZM,et al."Sharp L-1 a posteriori error analysis for nonlinear convection-diffusion problems".MATHEMATICS OF COMPUTATION 75.253(2006):43-71.