Published

Some Error Analysis on Virtual Element Methods

Long Chen and Jianguo Huang

Calcolo. (2018) 55: 5. https://doi.org/10.1007/s10092-018-0249-4

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ABSTRACT:

Some error analysis on virtual element methods (VEMs)
including inverse inequalities, norm equivalence, and interpolation
error estimates is presented for polygonal meshes each of which admits
a virtual quasi-uniform triangulation. The related mesh regularity
covers the usual one for theoretical analysis of VEMs and the proofs
are only based on mathematical tools well-used in finite element
methods technically.