We discuss the application of virtual elements to linear elasticity problems, for both the compressible and the nearly incompressible case. Virtual elements are very close to mimetic finite differences (see, for linear elasticity, [L. Beirão da Veiga, M2AN Math. Model. Numer. Anal., 44 (2010), pp. 231-250]) and in particular to higher order mimetic finite differences. As such, they share the good features of being able to represent in an exact way certain physical properties (conservation, incompressibility, etc.) and of being applicable in very general geometries. The advantage of virtual elements is the ductility that easily allows high order accuracy and high order continuity. © 2013 Society for Industrial and Applied Mathematics.

BEIRAO DA VEIGA, L., Brezzi, F., Marini, L. (2013). Virtual Elements for linear elasicity problems. SIAM JOURNAL ON NUMERICAL ANALYSIS, 51(2), 794-812 [10.1137/120874746].

Virtual Elements for linear elasicity problems

BEIRAO DA VEIGA, LOURENCO
Primo
;
2013

Abstract

We discuss the application of virtual elements to linear elasticity problems, for both the compressible and the nearly incompressible case. Virtual elements are very close to mimetic finite differences (see, for linear elasticity, [L. Beirão da Veiga, M2AN Math. Model. Numer. Anal., 44 (2010), pp. 231-250]) and in particular to higher order mimetic finite differences. As such, they share the good features of being able to represent in an exact way certain physical properties (conservation, incompressibility, etc.) and of being applicable in very general geometries. The advantage of virtual elements is the ductility that easily allows high order accuracy and high order continuity. © 2013 Society for Industrial and Applied Mathematics.
Articolo in rivista - Articolo scientifico
virtual element method
English
2013
51
2
794
812
none
BEIRAO DA VEIGA, L., Brezzi, F., Marini, L. (2013). Virtual Elements for linear elasicity problems. SIAM JOURNAL ON NUMERICAL ANALYSIS, 51(2), 794-812 [10.1137/120874746].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/98715
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