30 citations · 37 across the 27 of their papers we have counts for
30 papers
An augmented mixed finite element method for the Biot problem with nonlinear permeability
Felipe Lepe, Gonzalo Rivera, Ricardo Ruiz-Baier +1
In two and three dimensions, we analyze a mixed formulation of the nonlinear Biot equations in terms of the poroelastic stress tensor, the displacement, the pressure, and the rotat…
A mixed virtual element discretization for the generalized Oseen problem
Felipe Lepe, Gonzalo Rivera
In this paper we introduce a mixed virtual element method to approximate the solution for the two dimensional generalized Oseen problem. We introduce the pseudostress as an additio…
A locking-free mixed virtual element discretization for the two dimensional elasticity eigenvalue problem
Felipe Lepe, Gonzalo Rivera
In this paper, we propose and analyze a mixed virtual element method for the approximation of the eigenvalues and eigenfunctions of the two-dimensional elasticity eigenvalue proble…
Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
We introduce a family of discontinuous Galerkin methods to approximate the eigenvalues and eigenfunctions of a Stokes-Brinkman type of problem based in the interior penalty strateg…
A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
In this paper we introduce and analyze, for two and three dimensions, a finite element method to approximate the natural frequencies of a flow system governed by the Stokes-Brinkma…
A noncoforming virtual element approximation for the Oseen eigenvalue problem
Dibyendu Adak, Felipe Lepe, Gonzalo Rivera
In this paper we analyze a nonconforming virtual element method to approximate the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue problem. The spaces under…
A Mixed finite element method for the velocity-pseudostress formulation of the Oseen eigenvalue problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
In this paper, we introduce and analyze a mixed formulation for the Oseen eigenvalue problem by introducing the pseudostress tensor as a new unknown, allowing us to eliminate the f…
A virtual element method for a convective Brinkman-Forchheimer problem coupled with a heat equation
Danilo Amigo, Felipe Lepe, Enrique Otarola +1
We develop a virtual element method to solve a convective Brinkman-Forchheimer problem coupled with a heat equation. This coupled model may allow for thermal diffusion and viscosit…
Error analysis for a non-conforming virtual element discretization of the acoustic problem
Danilo Amigo, Felipe Lepe, Gonzalo Rivera
We introduce non conforming virtual elements to approximate the eigenvalues and eigenfunctions of the two dimensional acoustic vibration problem. We focus our attention on the pres…
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…
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…
Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
In two and three dimensional domains, we analyze mixed finite element methods for a velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. The methods consist…
Displacement-pseudostress formulation for the linear elasticity spectral problem
Daniel Inzunza, Felipe Lepe, Gonzalo Rivera
In this paper we analyze a mixed displacement-pseudostress formulation for the elasticity eigenvalue problem. We propose a finite element method to approximate the pseudostress ten…
A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator
Felipe Lepe, Gonzalo Rivera
The aim of the present work is to derive a error estimates for the Laplace eigenvalue problem in mixed form, by means of a virtual element method. With the aid of the theory for no…
A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem
Felipe Lepe, Gonzalo Rivera
In this paper we analyze a virtual element method (VEM) for a pseudostress formulation of the Stokes eigenvalue problem. This formulation allows to eliminate the velocity and the p…