Virtual Element Method for fourth order problems: L2-estimates

Claudia Chinosi; L. Donatella Marini

doi:10.1016/j.camwa.2016.02.001

Virtual Element Method for fourth order problems: L²-estimates

Claudia Chinosi
, L. Donatella Marini

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We analyse the family of C¹-Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L² and in H¹ via classical duality arguments.

Lingua originale	Inglese
pagine (da-a)	1959-1967
Numero di pagine	9
Rivista	Computers and Mathematics with Applications
Volume	72
Numero di pubblicazione	8
DOI	https://doi.org/10.1016/j.camwa.2016.02.001
Stato di pubblicazione	Pubblicato - 1 ott 2016
Pubblicato esternamente	Sì

Accesso al documento

10.1016/j.camwa.2016.02.001

Altri file e collegamenti

Link to publication in Scopus

Cita questo

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title = "Virtual Element Method for fourth order problems: L2-estimates",

abstract = "We analyse the family of C1-Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L2 and in H1 via classical duality arguments.",

keywords = "C-virtual elements, Fourth-order problems",

author = "Claudia Chinosi and Marini, \{L. Donatella\}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2016",

month = oct,

day = "1",

doi = "10.1016/j.camwa.2016.02.001",

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T2 - L2-estimates

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AU - Marini, L. Donatella

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N2 - We analyse the family of C1-Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L2 and in H1 via classical duality arguments.

AB - We analyse the family of C1-Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L2 and in H1 via classical duality arguments.

KW - C-virtual elements

KW - Fourth-order problems

UR - https://www.scopus.com/pages/publications/85026338718

U2 - 10.1016/j.camwa.2016.02.001

DO - 10.1016/j.camwa.2016.02.001

M3 - Article

SN - 0898-1221

VL - 72

SP - 1959

EP - 1967

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 8