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Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions |
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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 |
Page view: 1582
Net amount: 826 |
Authors: |
Lourenc{c}o BEIR~AO DA VEIGA; Franco BREZZI;Franco
DASSI;Luisa Donatella MARINI;Alessandro RUSSO |
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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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