1 citations · 1 across the 8 of their papers we have counts for
8 papers
A virtual element method for Darcy's problem coupled with a heat equation
Danilo Amigo, Felipe Lepe
In two dimensions, we develop a virtual element method to solve the Darcy's problem coupled with a nonlinear heat equation. This coupled model may allow for thermal diffusion and v…
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…
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…
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…
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…
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…