286 citations · 680 across the 16 of their papers we have counts for
5 papers · 1 filter
A Family of Virtual Element Methods for Plane Elasticity Problems Based on the Hellinger-Reissner Principle
Edoardo Artioli, Stefano de Miranda, Carlo Lovadina +1
A family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical test…
Virtual Elements for the Navier-Stokes problem on polygonal meshes
L. Beirão da Veiga, C. Lovadina, G. Vacca
A family of Virtual Element Methods for the 2D Navier-Stokes equations is proposed and analysed. The schemes provide a discrete velocity field which is point-wise divergence-free.…
A Stress/Displacement Virtual Element Method for Plane Elasticity Problems
E. Artioli, S. de Miranda, C. Lovadina +1
The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger-Reissner variational for…
Arbitrary order 2D virtual elements for polygonal meshes: Part II, inelastic problem
Edoardo Artioli, Lourenco Beirão da Veiga, Carlo Lovadina +1
The present paper is the second part of a twofold work, whose first part is reported in [3], concerning a newly developed Virtual Element Method (VEM) for 2D continuum problems. Th…
Arbitrary order 2D virtual elements for polygonal meshes: Part I, elastic problem
Edoardo Artioli, Lourenco Beirao da Veiga, Carlo Lovadina +1
The present work deals with the formulation of a Virtual Element Method (VEM) for two dimensional structural problems. The contribution is split in two parts: in part I, the elasti…