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A virtual element method for the elasticity problem allowing small edges

Calcolo, ISSN: 1126-5434, Vol: 60, Issue: 2
2023
  • 2
    Citations
  • 0
    Usage
  • 0
    Captures
  • 1
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

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  • Citations
    2
  • Mentions
    1
    • News Mentions
      1
      • News
        1

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New Mathematics Findings from University of Bio-Bio Described (A Virtual Element Method for the Elasticity Problem Allowing Small Edges)

2023 JUN 09 (NewsRx) -- By a News Reporter-Staff News Editor at Math Daily News -- Data detailed on Mathematics have been presented. According to

Article Description

In this paper we analyze a virtual element method for the two dimensional elasticity problem allowing small edges. With this approach, the classic assumptions on the geometrical features of the polygonal meshes can be relaxed. In particular, we consider only star-shaped polygons for the meshes. Suitable error estimates are presented, where a rigorous analysis on the influence of the Lamé constants in each estimate is presented. We report numerical tests to assess the performance of the method.

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