Serendipity Virtual Elements on Polyhedral Meshes
arXiv:1710.01161h-index: 66
Originality Synthesis-oriented
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For computational scientists using polyhedral meshes, this work provides numerical validation of VEM and its serendipity variant, though it is an incremental contribution.
The paper validates the Virtual Element Method (VEM) of order k for 3D elliptic problems with variable coefficients and investigates the Serendipity version, quantifying computational gains in degrees of freedom.
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.