Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions

Citation:

Lourenc{c}o BEIR~AO DA VEIGA,Franco BREZZI,Franco DASSI,Luisa Donatella MARINI,Alessandro RUSSO.Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions[J].Chinese Annals of Mathematics B,2018,39(2):315~334
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Authors:

Lourenc{c}o BEIR~AO DA VEIGA; Franco BREZZI;Franco DASSI;Luisa Donatella MARINI;Alessandro RUSSO
Abstract: 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.

Keywords:

Virtual element methods, Polyhedral decompositions, Linear ellipticproblems, Serendipity

Classification:

65N30
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