Virtual element approximation of eigenvalue problems

Daniele Boffi; Francesca Gardini; Lucia Gastaldi

doi:10.1007/978-3-030-95319-5_7

Virtual element approximation of eigenvalue problems

Daniele Boffi, Francesca Gardini, Lucia Gastaldi

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2 Scopus citations

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.

Original language	English (US)
Title of host publication	Accepted as a chapter in "The Virtual Element Method and its Applications", P.F. Antonietti, L. Beirão da Veiga, and G. Manzini Eds., Springer-Verlag
Publisher	Springer
Pages	275-320
Number of pages	46
ISBN (Print)	9783030953188
DOIs	https://doi.org/10.1007/978-3-030-95319-5_7
State	Published - Oct 9 2022

Bibliographical note

KAUST Repository Item: Exported on 2022-10-25

Access to Document

10.1007/978-3-030-95319-5_7

https://repository.kaust.edu.sa/bitstream/10754/666822/1/Preprintfile1.pdf

Cite this

@inbook{295392c12c0e42d5b30801cc6e54a767,

title = "Virtual element approximation of eigenvalue problems",

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.",

author = "Daniele Boffi and Francesca Gardini and Lucia Gastaldi",

note = "KAUST Repository Item: Exported on 2022-10-25",

year = "2022",

month = oct,

day = "9",

doi = "10.1007/978-3-030-95319-5_7",

language = "English (US)",

isbn = "9783030953188",

pages = "275--320",

booktitle = "Accepted as a chapter in {"}The Virtual Element Method and its Applications{"}, P.F. Antonietti, L. Beir{\~a}o da Veiga, and G. Manzini Eds., Springer-Verlag",

publisher = "Springer",

}

TY - CHAP

T1 - Virtual element approximation of eigenvalue problems

AU - Boffi, Daniele

AU - Gardini, Francesca

AU - Gastaldi, Lucia

N1 - KAUST Repository Item: Exported on 2022-10-25

PY - 2022/10/9

Y1 - 2022/10/9

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/666822

UR - https://arxiv.org/pdf/2012.15660

UR - http://www.scopus.com/inward/record.url?scp=85139865257&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-95319-5_7

DO - 10.1007/978-3-030-95319-5_7

M3 - Chapter

SN - 9783030953188

SP - 275

EP - 320

BT - Accepted as a chapter in "The Virtual Element Method and its Applications", P.F. Antonietti, L. Beirão da Veiga, and G. Manzini Eds., Springer-Verlag

PB - Springer

ER -

Virtual element approximation of eigenvalue problems

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this