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

Buyang Li; Weiwei Sun

doi:10.1090/mcom/3133

Maximal L^panalysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra

Buyang Li, Weiwei Sun

Research output: Journal article publication › Journal article › Academic research › peer-review

24 Citations (Scopus)

Abstract

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+αfor 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 Lpregularity and the optimal Lperror estimate of the finite element solution for the parabolic equation.

Original language	English
Pages (from-to)	1071-1102
Number of pages	32
Journal	Mathematics of Computation
Volume	86
Issue number	305
DOIs	https://doi.org/10.1090/mcom/3133
Publication status	Published - 1 Jan 2017

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

More information

10.1090/mcom/3133

http://hdl.handle.net/10397/98652

Cite this

@article{3d874bbd39ca499eba7d50df6da14751,

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

abstract = "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+αfor 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 Lpregularity and the optimal Lperror estimate of the finite element solution for the parabolic equation.",

author = "Buyang Li and Weiwei Sun",

year = "2017",

month = jan,

day = "1",

doi = "10.1090/mcom/3133",

language = "English",

volume = "86",

pages = "1071--1102",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "305",

}

TY - JOUR

T1 - Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra

AU - Li, Buyang

AU - Sun, Weiwei

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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+αfor 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 Lpregularity and the optimal Lperror estimate of the finite element solution for the parabolic equation.

AB - 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+αfor 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 Lpregularity and the optimal Lperror estimate of the finite element solution for the parabolic equation.

UR - http://www.scopus.com/inward/record.url?scp=85016214048&partnerID=8YFLogxK

U2 - 10.1090/mcom/3133

DO - 10.1090/mcom/3133

M3 - Journal article

SN - 0025-5718

VL - 86

SP - 1071

EP - 1102

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 305

ER -

Maximal L^panalysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this