Multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients

Li Qun Cao, Lei Zhang, Walter Allegretto, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)

Abstract

In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the present paper.
Original languageEnglish
Pages (from-to)42-73
Number of pages32
JournalInternational Journal of Numerical Analysis and Modeling
Volume10
Issue number1
Publication statusPublished - 21 Jan 2013

Keywords

  • Multiscale method
  • Steklov eigenvalue problem
  • Superapproximation estimate

ASJC Scopus subject areas

  • Numerical Analysis

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