30 citations · 34 across the 32 of their papers we have counts for
36 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 locking free mixed FEM based on a pure pseudostress based formulation for the elasticity eigenproblem
Arbaz Khan, Felipe Lepe, Jesus Vellojin
We analyze a novel locking-free mixed formulation for the elasticity eigenvalue problem in both two and three dimensions, expressed exclusively in terms of the pseudostress tensor.…
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…
Finite element analysis for a Herrmann pressure formulation of the elastoacoustic problem with variable coefficients
Arbaz Khan, Felipe Lepe, David Mora +2
In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration.…
Finite element analysis of an eigenvalue problem arising from neutron transport
Nicolás A. Barnafi, Felipe Lepe, Francisca Muñoz Riquelme
In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue probl…
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 Conforming virtual element approximation for the Oseen eigenvalue problem
Danilo Amigo, Felipe Lepe, Nitesh Verma
In this paper we analyze a conforming virtual element method to approximate the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue problem. We consider the clas…
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…
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 nearly incompressible linear elasticity eigenvalue problem with variable coefficients
Arbaz Khan, Felipe Lepe, David Mora +1
In this paper we present a mathematical and numerical analysis of an eigenvalue problem associated to the elasticity-Stokes equations stated in two and three dimensions. Both probl…
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…
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…
Discontinuous Galerkin methods for the acoustic vibration problem
Felipe Lepe, David Mora, Jesus Vellojin
In two and three dimension we analyze discontinuous Galerkin methods for the acoustic problem. The acoustic fluid that we consider on this paper is inviscid, leading to a linear ei…
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…