Some error analysis on virtual element methods
- Author(s): Chen, L
- Huang, J
- et al.
Published Web Locationhttps://doi.org/10.1007/s10092-018-0249-4
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.