Some Estimates for Virtual Element Methods

We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.

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Bibliographic Details
Published inJournal of computational methods in applied mathematics Vol. 17; no. 4; pp. 553 - 574
Main Authors Brenner, Susanne C., Guan, Qingguang, Sung, Li-Yeng
Format Journal Article
LanguageEnglish
Published Minsk De Gruyter 01.10.2017
Walter de Gruyter GmbH
Subjects
65N30
Estimates
Poisson Problem
Polygonal/Polyhedral Meshes
Virtual Elements
Online AccessGet full text
ISSN1609-4840
1609-9389
DOI10.1515/cmam-2017-0008

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Summary:We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.
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ISSN:1609-4840
1609-9389
DOI:10.1515/cmam-2017-0008