Some Estimates for Virtual Element Methods in Three Dimensions
Comput. Methods Appl. Math.(2023)
Abstract
Some estimates on virtual element methods (VEMs), including inverse inequalities, norm equivalence, and interpolation error estimates, are developed for star-shaped polyhedral meshes whose faces admit virtual regular and quasi-uniform triangulations. This mesh regularity covers the usual ones used for theoretical analysis of VEMs, and the proofs are carried out in a straightforward way.
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Key words
Virtual Element Method,Polyhedral Meshes,Inverse Inequality,Norm Equivalence,Interpolation Error Estimates
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