6 papers
Finite Element Analysis of the Oseen eigenvalue problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
We propose and analyze a finite element method for the Oseen eigenvalue problem. This problem is an extension of the Stokes eigenvalue problem, where the presence of the convective…
VEM allowing small edges for the acoustic problem
Danilo Amigo, Felipe Lepe, Gonzalo Rivera
In this paper we propose and analyze a virtual element method to approximate the natural frequencies of the acoustic eigenvalue problem with polygonal meshes that allow the presenc…
A priori and a posteriori error analysis for a VEM discretization of the convection-diffusion eigenvalue problem
Danilo Amigo, Felipe Lepe, Gonzalo Rivera
In this paper we propose and analyze a virtual element method for the two dimensional non-symmetric diffusion-convection eigenvalue problem in order to derive a priori and a poster…
A virtual element method for the elasticity spectral problem allowing small edges
Danilo Amigo, Felipe Lepe, Gonzalo Rivera
In this paper we analyze a virtual element method for the two dimensional elasticity spectral problem allowing small edges. Under this approach, and with the aid of the theory of c…
VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems
Felipe Lepe, Gonzalo Rivera
In this paper we analyze a lowest order virtual element method for the load classic reaction-convection-diffusion problem and the convection-diffusion spectral problem, where the a…
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…