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Sharper error estimates for Virtual Elements and a bubble-enriched version
- Publication Year :
- 2020
-
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 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.<br />Comment: 22 pages, 6 figures
- Subjects :
- Mathematics - Numerical Analysis
65N12, 65N15, 65N30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2005.12009
- Document Type :
- Working Paper