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dc.contributor.authorBertrand, Fleurianne Herveline
dc.contributor.authorBoffi, Daniele
dc.date.accessioned2021-03-22T05:58:31Z
dc.date.available2020-02-27T13:50:40Z
dc.date.available2021-03-22T05:58:31Z
dc.date.issued2021-03-04
dc.date.submitted2020-02-19
dc.identifier.citationBertrand, F., & Boffi, D. (2021). First order least-squares formulations for eigenvalue problems. IMA Journal of Numerical Analysis. doi:10.1093/imanum/drab005
dc.identifier.issn0272-4979
dc.identifier.issn1464-3642
dc.identifier.doi10.1093/imanum/drab005
dc.identifier.urihttp://hdl.handle.net/10754/661770
dc.description.abstractIn this paper we discuss spectral properties of operators associated with the least-squares finite-element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate L2 error estimates. A priori and a posteriori estimates are proved.
dc.description.sponsorshipThe first author gratefully acknowledges support by the German Research Foundation (DFG) in the Priority Programme SPP 1748 Reliable simulation techniques in solid mechanics under grant number BE6511/1-1.
dc.publisherOxford University Press (OUP)
dc.relation.urlhttps://academic.oup.com/imajna/advance-article/doi/10.1093/imanum/drab005/6157011
dc.rightsThis is an Open Access article distributed under the terms of the Creative Commons Attribution License , which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleFirst order least-squares formulations for eigenvalue problems
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
dc.identifier.journalIMA Journal of Numerical Analysis
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionUniversity of Pavia, Pavia 27100, Italy
dc.identifier.arxivid2002.08145
kaust.personBertrand, Fleurianne Herveline
kaust.personBoffi, Daniele
dc.date.accepted2021-01-12
refterms.dateFOA2020-02-27T13:51:23Z
dc.date.posted2020-02-19


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This is an Open Access article distributed under the terms of the Creative Commons Attribution License , which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
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