Approximation of PDE eigenvalue problems involving parameter dependent matrices

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorBoffi, Danieleen_US
dc.contributor.authorGardini, Francescaen_US
dc.contributor.authorGastaldi, Luciaen_US
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.organizationUniversity of Paviaen_US
dc.contributor.organizationUniversity of Bresciaen_US
dc.date.accessioned2020-12-31T08:45:28Z
dc.date.available2020-12-31T08:45:28Z
dc.date.issued2020-12en_US
dc.description.abstractWe discuss the solution of eigenvalue problems associated with partial differential equations that can be written in the generalized form Ax= λBx, where the matrices A and/or B may depend on a scalar parameter. Parameter dependent matrices occur frequently when stabilized formulations are used for the numerical approximation of partial differential equations. With the help of classical numerical examples we show that the presence of one (or both) parameters can produce unexpected results.en
dc.description.versionPeer revieweden
dc.format.extent21
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationBoffi, D, Gardini, F & Gastaldi, L 2020, 'Approximation of PDE eigenvalue problems involving parameter dependent matrices', Calcolo, vol. 57, no. 4, 41. https://doi.org/10.1007/s10092-020-00390-6en
dc.identifier.doi10.1007/s10092-020-00390-6en_US
dc.identifier.issn0008-0624
dc.identifier.issn1126-5434
dc.identifier.otherPURE UUID: 9cbf5cf9-c3d6-499d-b4da-de75dfcde2deen_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/9cbf5cf9-c3d6-499d-b4da-de75dfcde2deen_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/53618275/Boffi2020_Article_ApproximationOfPDEEigenvaluePr.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/101568
dc.identifier.urnURN:NBN:fi:aalto-2020123160389
dc.language.isoenen
dc.publisherSpringer
dc.relation.fundinginfoOpen access funding provided by Università degli Studi di Pavia within the CRUI-CARE Agreement. Acknowledgements The authors are members of INdAM Research group GNCS and their research is supported by PRIN/MIUR. The research of the first and third authors is partially supported by IMATI/CNR.
dc.relation.ispartofseriesCalcoloen
dc.relation.ispartofseriesVolume 57, issue 4en
dc.rightsopenAccessen
dc.subject.keywordEigenvalue problemen_US
dc.subject.keywordParameter dependent matricesen_US
dc.subject.keywordPartial differential equationsen_US
dc.subject.keywordPolygonal meshesen_US
dc.subject.keywordVirtual element methoden_US
dc.titleApproximation of PDE eigenvalue problems involving parameter dependent matricesen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion

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