期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 350, 期 -, 页码 995-1023出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.02.043
关键词
VEM; FEM; p-FEM; Linear elasticity; Non-conforming meshes; Stress recovery
In this manuscript we thoroughly study the behavior of the virtual element method (VEM) in the context of two-dimensional linear elasticity problems for an engineering audience versed in standard FEM. Through detailed convergence studies we show the accuracy and the convergence rates recovered by VEM, and we compare them to those obtained by the h- and p-versions of the finite element method (FEM). We also demonstrate the mixability between FEM and VEM; in particular, applications of VEM for coupling non-conforming discretizations and for local refinement are presented, showing higher versatility compared to FEM. Computer implementation aspects in displacement-based finite element codes are thoroughly explained, remarking on the main differences with respect to standard FEM. (C) 2019 The Author(s). Published by Elsevier B.V.
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