30 citations · 37 across the 27 of their papers we have counts for
6 papers · 1 filter
VEM approximation for the Stokes eigenvalue problem: a priori and a posteriori error analysis
Dibyendu Adak, Felipe Lepe, Gonzalo Rivera
The present paper proposes an inf-sup stable divergence free virtual element method and associated a priori, and a posteriori error analysis to approximate the eigenvalues and eige…
A virtual element method for the elasticity problem allowing small edges
Danilo Amigo, Felipe Lepe, Gonzalo Rivera
In this paper we analyze a virtual element method for the two dimensional elasticity problem allowing small edges. With this approach, the classic assumptions on the geometrical fe…
Finite element analysis for the Navier-Lamé eigenvalue problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
The present paper introduces the analysis of the eigenvalue problem for the elasticity equations when the so called Navier-Lamé system is considered. Such a system introduces the d…
A posteriori virtual element method for the acoustic vibration problem
Felipe Lepe, David Mora, Gonzalo Rivera +1
In two dimensions, we propose and analyze an a posteriori error estimator for the acoustic spectral problem based on the virtual element method in . Introducing an auxilia…
Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
The aim of this paper is to analyze a mixed formulation for the two dimensional Stokes eigenvalue problem where the unknowns are the stress and the velocity, whereas the pressure c…
A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem
Felipe Lepe, Gonzalo Rivera, Jesús Vellojín
In this paper we analyze a posteriori error estimates for a mixed formulation of the linear elasticity eigenvalue problem. A posteriori estimators for the nearly and perfectly comp…