We numerically validate the Virtual Element Method of order k for general second order elliptic problems with variable coefficients in three dimensions. Moreover, we investigate numerically also the Serendipity version of the VEM (in three dimensions) and the associated computational gain in terms of degrees of freedom.
@article{arxiv.1710.01161,
title = {Serendipity Virtual Elements on Polyhedral Meshes},
author = {Lourenco Beirao da Veiga and Franco Brezzi and Franco Dassi and Luisa Donatella Marini and Alessandro Russo},
journal= {arXiv preprint arXiv:1710.01161},
year = {2017}
}
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This paper was not ready yet, sorry for this inconvinient