3 papers
math.NA2024
Bilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses
Alejandro Allendes, Gilberto Campaña, Enrique Otarola
We analyze a bilinear optimal control problem for the Stokes--Brinkman equations: the control variable enters the state equations as a coefficient. In two- and three-dimensional Li…
math.NA2024
Finite element approximation for a convective Brinkman--Forchheimer problem coupled with a heat equation
Gilberto Campaña, Pablo Muñoz, Enrique Otarola
We investigate a convective Brinkman--Forchheimer problem coupled with a heat equation. The investigated model considers thermal diffusion and viscosity depending on the temperatur…
math.NA2023
The linear elasticity system under singular forces
Alejandro Allendes, Gilberto Campaña, Enrique Otárola +1
We study the linear elasticity system subject to singular forces. We show existence and uniqueness of solutions in two frameworks: weighted Sobolev spaces, where the weight belongs…