NANASep 6, 2017

Some Error Analysis on Virtual Element Methods

arXiv:1708.08558186 citations
AI Analysis

Provides theoretical foundations for virtual element methods on polygonal meshes, but the results are incremental extensions of existing finite element theory.

The paper presents error analysis for virtual element methods on polygonal meshes, establishing inverse inequalities, norm equivalence, and interpolation error estimates.

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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