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

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