A note on the error estimate of the virtual element methods

2018/10/01 by Cao, Shuhao, Chen, Long, Lin, Frank
#65N12 #65N15 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1810.00926

Abstract

This short note reports a new derivation of the optimal order of the a priori error estimates for conforming virtual element methods (VEM) on 3D polyhedral meshes based on an error equation. The geometric assumptions, which are necessary for the optimal order of the conforming VEM error estimate in the H¹-seminorm, are relaxed for that in a bilinear form-induced energy norm.

Related

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