A posteriori error analysis for nonconforming approximation of multiple eigenvalues

Daniele Boffi, Ricardo G. Durán, Francesca Gardini, Lucia Gastaldi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

In this paper, we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, and C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix–Raviart nonconforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and illustrate the convergence of an adaptive algorithm when dealing with multiple eigenvalues. Copyright © 2015 John Wiley & Sons, Ltd.
Original languageEnglish (US)
Title of host publicationMathematical Methods in the Applied Sciences
PublisherJohn Wiley and Sons LtdSouthern GateChichester, West SussexPO19 8SQ
Pages350-369
Number of pages20
DOIs
StatePublished - Jan 30 2017
Externally publishedYes

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