A virtual element method for the elasticity problem allowing small edges
Numerical Analysis
2023-03-02 v2 Numerical Analysis
Abstract
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 Lam\'e constants in each estimate is presented. We report numerical tests to assess the performance of the method.
Cite
@article{arxiv.2211.02792,
title = {A virtual element method for the elasticity problem allowing small edges},
author = {Danilo Amigo and Felipe Lepe and Gonzalo Rivera},
journal= {arXiv preprint arXiv:2211.02792},
year = {2023}
}