Sesión Análisis Numérico y OptimizaciónBilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses.
Enrique Otarola
Universidad Tecnica Federico Santamaria , Chile - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
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 Lipschitz domains, we perform a complete continuous analysis that includes the existence of solutions and first- and second-order optimality conditions. We also develop two finite element methods that differ fundamentally in whether the admissible control set is discretized or not. For each of the proposed methods, we perform a convergence analysis and derive a priori error estimates; the latter under the assumption that the domain is convex. Finally, assuming that the domain is Lipschitz, we develop an a posteriori error estimator for each discretization scheme and obtain a global reliability bound. Based on joint works with Alejandro Allendes and GIlberto Campaña
Trabajo en conjunto con: Alejandro Allendes (Universidad Tecnica Federico Santamaria ) y GIlberto Campaña (Universidad Tecnica Federico Santamaria ).