We discuss the approximation of eigenvalue problems associated with elliptic partial differential equations using the virtual element method. After recalling the abstract theory, we present a model problem, describing in detail the features of the scheme, and highligting the effects of the stabilizing parameters. We conlcude the discussion with a survey of several application examples.

Virtual Element Approximation of Eigenvalue Problems

Gastaldi L.
2022-01-01

Abstract

We discuss the approximation of eigenvalue problems associated with elliptic partial differential equations using the virtual element method. After recalling the abstract theory, we present a model problem, describing in detail the features of the scheme, and highligting the effects of the stabilizing parameters. We conlcude the discussion with a survey of several application examples.
2022
Ateneo di appartenenza
The Virtual Element Method ad its Applications
Paola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini
PE1_16 Mathematical aspects of computer science
Esperti anonimi
Inglese
Internazionale
STAMPA
31
275
320
46
978-3-030-95318-8
978-3-030-95319-5
Springer Cham
SVIZZERA
partial differential equations, eigenvalue problem, virtual element method, polygonal meshes
MIUR (compresi PRIN FIRB,FISR)
Not applicable
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
3
268
none
Boffi, D.; Gardini, F.; Gastaldi, L.
info:eu-repo/semantics/bookPart
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/564904
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