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 dc.contributor.author Boffi, Daniele dc.contributor.author Gardini, Francesca dc.contributor.author Gastaldi, Lucia dc.date.accessioned 2020-10-12T12:24:48Z dc.date.available 2020-10-12T12:24:48Z dc.date.issued 2020-01-05 dc.identifier.uri http://hdl.handle.net/10754/665535.1 dc.description.abstract We 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.sponsorship 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.publisher arXiv dc.relation.url https://arxiv.org/pdf/2001.01304 dc.rights Archived with thanks to arXiv dc.title Approximation of PDE eigenvalue problems involving parameter dependent matrices dc.type Preprint dc.contributor.department King Abdullah University of Science and Technology (KAUST), Saudi Arabia dc.eprint.version Pre-print dc.contributor.institution Dipartimento di Matematica “F. Casorati”, Universita di Pavia, Italy dc.contributor.institution Department of Mathematics and System Analysis, Aalto University, Finland dc.contributor.institution DICATAM, Universita di Brescia, Italy dc.identifier.arxivid 2001.01304 kaust.person Boffi, Daniele refterms.dateFOA 2020-10-12T12:27:43Z
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