Finite element approximation of the first eigenpair of a nonlinear problem

Dongming Wei

doi:10.1080/01630569108816455

Finite element approximation of the first eigenpair of a nonlinear problem

Dongming Wei

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A finite element method is used for the computation of the first eigenpair of the problem –div(|∇u|^p-2∇u)=λ|u|^p-2u in Ω, u = 0 on ∂Ω. Error estimates are obtained. Convergence is proved with minimal regularity assumption.

Original language	English
Pages (from-to)	611-620
Number of pages	10
Journal	Numerical Functional Analysis and Optimization
Volume	12
Issue number	5-6
DOIs	https://doi.org/10.1080/01630569108816455
Publication status	Published - Jan 1 1991

Keywords

Finite element method
con-
eigenvalue problem
vergence

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

Access to Document

10.1080/01630569108816455

Fingerprint Dive into the research topics of 'Finite element approximation of the first eigenpair of a nonlinear problem'. Together they form a unique fingerprint.

Cite this

@article{62bb198b60d549e4a2ce87dfbc6f03a7,

title = "Finite element approximation of the first eigenpair of a nonlinear problem",

abstract = "A finite element method is used for the computation of the first eigenpair of the problem –div(|∇u|p-2∇u)=λ|u|p-2u in Ω, u = 0 on ∂Ω. Error estimates are obtained. Convergence is proved with minimal regularity assumption.",

keywords = "Finite element method, con-, eigenvalue problem, vergence",

author = "Dongming Wei",

year = "1991",

month = jan,

day = "1",

doi = "10.1080/01630569108816455",

language = "English",

volume = "12",

pages = "611--620",

journal = "Numerical Functional Analysis and Optimization",

issn = "0163-0563",

publisher = "Taylor and Francis",

number = "5-6",

}

TY - JOUR

T1 - Finite element approximation of the first eigenpair of a nonlinear problem

AU - Wei, Dongming

PY - 1991/1/1

Y1 - 1991/1/1

N2 - A finite element method is used for the computation of the first eigenpair of the problem –div(|∇u|p-2∇u)=λ|u|p-2u in Ω, u = 0 on ∂Ω. Error estimates are obtained. Convergence is proved with minimal regularity assumption.

AB - A finite element method is used for the computation of the first eigenpair of the problem –div(|∇u|p-2∇u)=λ|u|p-2u in Ω, u = 0 on ∂Ω. Error estimates are obtained. Convergence is proved with minimal regularity assumption.

KW - Finite element method

KW - con-

KW - eigenvalue problem

KW - vergence

UR - http://www.scopus.com/inward/record.url?scp=0004376252&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0004376252&partnerID=8YFLogxK

U2 - 10.1080/01630569108816455

DO - 10.1080/01630569108816455

M3 - Article

AN - SCOPUS:0004376252

VL - 12

SP - 611

EP - 620

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

SN - 0163-0563

IS - 5-6

ER -

Finite element approximation of the first eigenpair of a nonlinear problem

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this