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 -approximations of plate bending problems or approximations to problems in solid and fluid mechanics.

Beirao Da Veiga, L., Brezzi, F., Marini, D., Russo, A. (2023). The virtual element method. ACTA NUMERICA, 32(May 2023), 123-202 [10.1017/S0962492922000095].

The virtual element method

Beirao Da Veiga, L;Russo, A
2023

Abstract

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 -approximations of plate bending problems or approximations to problems in solid and fluid mechanics.
Articolo in rivista - Articolo scientifico
virtual element, finite element
English
11-mag-2023
2023
32
May 2023
123
202
none
Beirao Da Veiga, L., Brezzi, F., Marini, D., Russo, A. (2023). The virtual element method. ACTA NUMERICA, 32(May 2023), 123-202 [10.1017/S0962492922000095].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/415477
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