Some Error Analysis on Virtual Element Methods
Long Chen, Jianguo Huang
TL;DR
This paper provides an error analysis of virtual element methods, focusing on inverse inequalities, norm equivalence, and interpolation errors for polygonal meshes with virtual quasi-uniform triangulation.
Contribution
It introduces new error estimates and analytical tools for virtual element methods on polygonal meshes with virtual quasi-uniform triangulation.
Findings
Established inverse inequalities for virtual element spaces
Derived norm equivalence results for polygonal meshes
Provided interpolation error estimates for virtual element methods
Abstract
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.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Advanced Numerical Analysis Techniques · Computational Geometry and Mesh Generation