Maximal regularity of fully discrete finite element solutions of parabolic equations

doi:10.1137/16M1071912

Details of Research Outputs

Status	已发表Published
Title	Maximal regularity of fully discrete finite element solutions of parabolic equations
Creator	Li, Buyang 1; Sun, Weiwei2
Date Issued	2017
Source Publication	SIAM Journal on Numerical Analysis
ISSN	0036-1429
Volume	55 Issue:2 Pages:521-542
Abstract	We establish the maximal lp-regularity for fully discrete finite element solutions of parabolic equations with time-dependent Lipschitz continuous coefficients. The analysis is based on a discrete lp(W1,q) estimate together with a duality argument and a perturbation method. Optimalorder error estimates of fully discrete finite element solutions in the norm of lp(Lq) follows immediately. © by SIAM 2017.
Keyword	BDF methods Discrete maximal parabolic regularity Energy technique Maximum-norm error analysis Nonlinear parabolic equations Time-dependent norms
DOI	10.1137/16M1071912
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000401780500004
Citation statistics	Cited Times:17[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/3239
Collection	Research outside affiliated institution
Corresponding Author	Li, Buyang
Affiliation	1.Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong 2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
Recommended Citation GB/T 7714	Li, Buyang,Sun, Weiwei. Maximal regularity of fully discrete finite element solutions of parabolic equations[J]. SIAM Journal on Numerical Analysis, 2017, 55(2): 521-542.
APA	Li, Buyang, & Sun, Weiwei. (2017). Maximal regularity of fully discrete finite element solutions of parabolic equations. SIAM Journal on Numerical Analysis, 55(2), 521-542.
MLA	Li, Buyang,et al."Maximal regularity of fully discrete finite element solutions of parabolic equations". SIAM Journal on Numerical Analysis 55.2(2017): 521-542.

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