In the present contribution we develop a sharper error analysis for the Virtual Element Method, applied to a model elliptic problem, that separates the element boundary and element interior contributions to the error. As a consequence we are able to propose a variant of the scheme that allows one to take advantage of polygons with many edges (such as those composing Voronoi meshes or generated by agglomeration procedures) in order to yield a more accurate discrete solution. The theoretical results are supported by numerical experiments.

Beirao da Veiga, L., Vacca, G. (2022). Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version. SIAM JOURNAL ON NUMERICAL ANALYSIS, 60(4), 1853-1878 [10.1137/21M1411275].

Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version

Beirao da Veiga, L
Primo
;
2022

Abstract

In the present contribution we develop a sharper error analysis for the Virtual Element Method, applied to a model elliptic problem, that separates the element boundary and element interior contributions to the error. As a consequence we are able to propose a variant of the scheme that allows one to take advantage of polygons with many edges (such as those composing Voronoi meshes or generated by agglomeration procedures) in order to yield a more accurate discrete solution. The theoretical results are supported by numerical experiments.
Articolo in rivista - Articolo scientifico
error analysis; interpolation estimates; polygonal meshes; Virtual Element Method;
English
2022
60
4
1853
1878
none
Beirao da Veiga, L., Vacca, G. (2022). Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version. SIAM JOURNAL ON NUMERICAL ANALYSIS, 60(4), 1853-1878 [10.1137/21M1411275].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/401255
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