Local two-sided bounds for eigenvalues of self-adjoint operators

Gabriel Barrenechea, Lyonell Boulton, Nabile Boussaid

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We examine the equivalence between an extension of the Lehmann-Maehly-Goerisch method developed a few years ago by Zimmermann and Mertins, and a geometrically motivated method developed more recently by Davies and Plum. We establish a general framework which allows sharpening various previously known results in these two settings and determine explicit convergence estimates for both methods. We demonstrate the applicability of the method of Zimmermann and Mertins by means of numerical tests on the resonant cavity problem.
LanguageEnglish
Number of pages34
JournalNumerische Mathematik
DOIs
Publication statusPublished - 18 Jun 2016

Fingerprint

Cavity resonators
Self-adjoint Operator
Eigenvalue
Convergence Estimates
Cavity
Equivalence
Demonstrate

Keywords

  • Eigenvalue enclosures
  • spectral pollution
  • finite element method
  • Maxwell equation

Cite this

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Local two-sided bounds for eigenvalues of self-adjoint operators. / Barrenechea, Gabriel; Boulton, Lyonell; Boussaid, Nabile.

In: Numerische Mathematik, 18.06.2016.

Research output: Contribution to journalArticle

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KW - finite element method

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