Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework

DOI10.1007/s00211-018-0984-0zbMath1402.65137OpenAlexW2611078623WikidataQ129194894 ScholiaQ129194894MaRDI QIDQ1616038

Yvon Maday, Benjamin Stamm, Eric Cancès, Geneviève Dusson, Martin Vohralík

Publication date: 31 October 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/104858/13/WRAP-guaranteed-robust-aposteriori-bounds-Laplace-eigenvalues-eigenvectors-Dusson-2018.pdf

zbMATH Keywords

discontinuous Galerkinmixed finite element approximationsa posteriori boundsLaplace eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Uses Software

• FreeFem++

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