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The virtual element method

delete2023-05-11
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OA
AI
L
L. Beirão da Veiga *
F
Franco Brezzi
L
L. D. Marini
A
A. Russo
DOI:10.1017/S0962492922000095delete
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Abstract

Abstract

En 中文
The present review paper has several objectives. Its primary aim is to give an idea of the general features of virtual element methods (VEMs), which were introduced about a decade ago in the field of numerical methods for partial differential equations, in order to allow decompositions of the computational domain into polygons or polyhedra of a very general shape.Nonetheless, the paper is also addressed to readers who have already heard (and possibly read) about VEMs and are interested in gaining more precise information, in particular concerning their application in specific subfields such as C-1 approximations of plate bending problems or approximations to problems in solid and fluid mechanics.
Keywords:
65N30

Journal

Acta Numerica cover
Acta Numerica
IF:
11.3
Papers:
89
Citations:
3.4K

Organization

U
university of milano-bicocca
Scholars:
2.0W
Papers: 1.5W
Citations: 22
C
consiglio nazionale delle ricerche (cnr)
Scholars:
6.2W
Papers: 5.7W
Citations: 48