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

Mengolini, M.; Benedetto, Matías F.; Aragon, A.M.

doi:10.1016/j.cma.2019.02.043

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

Title

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

Author

Mengolini, M. (TU Delft Computational Design and Mechanics)
Benedetto, Matías F. (University of Buenos Aires)
Aragon, A.M. (TU Delft Computational Design and Mechanics)

Date

2019

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.

Subject

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

To reference this document use:

http://resolver.tudelft.nl/uuid:39a1ed8e-373d-4d48-bcd1-0ceafd19a509

DOI

https://doi.org/10.1016/j.cma.2019.02.043

ISSN

0045-7825

Source

Computer Methods in Applied Mechanics and Engineering, 350, 995-1023

Part of collection

Institutional Repository