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dc.contributor.authorBoffi, Daniele
dc.contributor.authorGardini, Francesca
dc.contributor.authorGastaldi, Lucia
dc.date.accessioned2020-10-12T12:24:48Z
dc.date.available2020-10-12T12:24:48Z
dc.date.issued2020-01-05
dc.identifier.urihttp://hdl.handle.net/10754/665535.1
dc.description.abstractWe discuss the solution of eigenvalue problems associated with partial differential equations that can be written in the generalized form $\m{A}x=\lambda\m{B}x$, where the matrices $\m{A}$ and/or $\m{B}$ 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.
dc.description.sponsorshipThe 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.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2001.01304
dc.rightsArchived with thanks to arXiv
dc.titleApproximation of PDE eigenvalue problems involving parameter dependent matrices
dc.typePreprint
dc.contributor.departmentKing Abdullah University of Science and Technology (KAUST), Saudi Arabia
dc.eprint.versionPre-print
dc.contributor.institutionDipartimento di Matematica “F. Casorati”, Universita di Pavia, Italy
dc.contributor.institutionDepartment of Mathematics and System Analysis, Aalto University, Finland
dc.contributor.institutionDICATAM, Universita di Brescia, Italy
dc.identifier.arxivid2001.01304
kaust.personBoffi, Daniele
refterms.dateFOA2020-10-12T12:27:43Z


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