3 papers
math.NA2026
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…
math.NA2024
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…
math.NA2024
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…