286 citations · 369 across the 23 of their papers we have counts for
5 papers · 2 filters
The Stokes complex for Virtual Elements with application to Navier--Stokes flows
L. Beirão da Veiga, D. Mora, G. Vacca
In the present paper, we investigate the underlying Stokes complex structure of the Virtual Element Method for Stokes and Navier--Stokes introduced in previous papers by the same a…
Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations
Veronica Anaya, Afaf Bouharguane, David Mora +4
We introduce a family of mixed methods and discontinuous Galerkin discretisations designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and Ber…
A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
Verónica Anaya, Mostafa Bendahmane, David Mora +1
We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an -conforming discretization b…
A Virtual Element Method for the Transmission Eigenvalue Problem
David Mora, Iván Velásquez
In this paper, we analyze a virtual element method (VEM) for solving a non-selfadjoint fourth-order eigenvalue problem derived from the transmission eigenvalue problem. We write a…
Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
Felipe Lepe, Salim Meddahi, David Mora +1
We introduce a discontinuous Galerkin method for the mixed formulation of the elasticity eigenproblem with reduced symmetry. The analysis of the resulting discrete eigenproblem doe…