Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions

Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions

The authors study the use of the virtual element method (VEM for short) of order k for general second order elliptic problems with variable coefficients in three space dimensions. Moreover, they investigate numerically also the serendipity version of the VEM and the associated computational gain in...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2018-03, Vol.39 (2), p.315-334
Hauptverfasser: Beirão Da Veiga, Lourenço, Brezzi, Franco, Dassi, Franco, Marini, Luisa Donatelia, Russo, Alessandro
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Elliptic functions
Mathematics
Mathematics and Statistics
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Zusammenfassung:The authors study the use of the virtual element method (VEM for short) of order k for general second order elliptic problems with variable coefficients in three space dimensions. Moreover, they investigate numerically also the serendipity version of the VEM and the associated computational gain in terms of degrees of freedom.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-018-1066-4