8 papers
Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
Arbaz Khan, Felipe Lepe, Jesus Vellojin
This paper studies the family of interior penalty discontinuous Galerkin methods for solving the Herrmann formulation of the linear elasticity eigenvalue problem in heterogeneous m…
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…
A posteriori analysis for a mixed formulation of the Stokes spectral problem
Felipe Lepe, Jesus Vellojin
In two and three dimensions, we design and analyze a posteriori error estimators for the mixed Stokes eigenvalue problem. The unknowns on this mixed formulation are the pseudotress…
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…