A virtual element method for the elasticity problem allowing small edges

被引：0
作者：
Danilo Amigo
Felipe Lepe
Gonzalo Rivera
机构：
[1] Universidad del Bío-Bío,GIMNAP
[2] Universidad de Los Lagos,Departamento de Matemática
来源：
Calcolo | 2023年 / 60卷
关键词：
Elasticity equations; Eigenvalue problems; Error estimates; Primary 35J25; 65N15; 65N30; 65N12; 74B05; 76M10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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