An engineering perspective to the virtual element method and its interplay with the standard finite element method

Michael Mengolini, Matías F. Benedetto, Alejandro M. Aragón

Research output: Contribution to journalArticleScientificpeer-review

11 Citations (Scopus)
167 Downloads (Pure)

Abstract

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.

Original languageEnglish
Pages (from-to)995-1023
JournalComputer Methods in Applied Mechanics and Engineering
Volume350
DOIs
Publication statusPublished - 2019

Keywords

  • FEM
  • Linear elasticity
  • Non-conforming meshes
  • p-FEM
  • Stress recovery
  • VEM

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