21 citations · 33 across the 14 of their papers we have counts for
18 papers
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…
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…
Numerical discretizations of a convective Brinkman-Forchheimer model under singular forcing
Alejandro Allendes, Gilberto Campaña, Enrique Otarola
In two-dimensional Lipschitz domains, we analyze a Brinkman--Darcy--Forchheimer problem on the weighted spaces , where belongs t…
Numerical discretization of a Darcy-Forchheimer problem coupled with a singular heat equation
Alejandro Allendes, Gilberto Campaña, Enrique Otarola
In Lipschitz domains, we study a Darcy-Forchheimer problem coupled with a singular heat equation by a nonlinear forcing term depending on the temperature. By singular we mean that…
Darcy's problem coupled with the heat equation under singular forcing: analysis and discretization
A. Allendes, G. Campaña, F. Fuica +1
We study the existence of solutions for Darcy's problem coupled with the heat equation under singular forcing; the right-hand side of the heat equation corresponds to a Dirac measu…
Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation
Alejandro Allendes, Francisco Fuica, Enrique Otarola
We consider a pointwise tracking optimal control problem for a semilinear elliptic partial differential equation. We derive the existence of optimal solutions and analyze first and…