Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra

doi:10.1090/mcom/3133

科研成果详情

发表状态	已发表Published
题名	Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra
作者	Li, Buyang 1,2,3; Sun, Weiwei4
发表日期	2017
发表期刊	Mathematics of Computation
ISSN/eISSN	0025-5718
卷号	86 期号:305 页码:1071-1102
摘要	The paper is concerned with Galerkin finite element solutions of parabolic equations in a convex polygon or polyhedron with a diffusion coefficient in W1, N+α for some α > 0, where N denotes the dimension of the domain. We prove the analyticity of the semigroup generated by the discrete elliptic operator, the discrete maximal Lp regularity and the optimal Lp error estimate of the finite element solution for the parabolic equation. © 2016 American Mathematical Society.
DOI	10.1090/mcom/3133
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000395905700003
引用统计
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/3240
专题	个人在本单位外知识产出
通讯作者	Li, Buyang
作者单位	1.Mathematisches Institut, Universität Tübingen, Tübingen, D-72076, Germany 2.Department of Mathematics, Nanjing University, Nanjing, 210093, China 3.Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong 4.Department of Mathematics, City University of Hong Kong, Hong Kong
推荐引用方式 GB/T 7714	Li, Buyang,Sun, Weiwei. Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra[J]. Mathematics of Computation, 2017, 86(305): 1071-1102.
APA	Li, Buyang, & Sun, Weiwei. (2017). Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. Mathematics of Computation, 86(305), 1071-1102.
MLA	Li, Buyang,et al."Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra". Mathematics of Computation 86.305(2017): 1071-1102.