Some error analysis on virtual element methods including inverse
inequalities, norm equivalence, and interpolation error estimates are presented
for polygonal meshes which admits a virtual quasi-uniform triangulation

Chen, Long

Huang, Jianguo

English

arXiv

Some error analyses on virtual element methods (VEMs) including inverse inequalities, norm equivalence, and interpolation error estimates are developed for polygonal meshes, each element of which admits a virtual quasi-uniform triangulation. This sub-mesh regularity covers the usual ones used for theoretical analysis of VEMs, and the proofs are presented by means of standard technical tools in finite element methods

Some Error Analysis on Virtual Element Methods

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