OS Numerical Optimization: Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation
Time
Monday, 21. October 2024
15:15 - 16:45
Location
F426
Organizer
S. Volkwein
Speaker:
Dr. Francisco Fuica Villagra
On 21th October 2024 at 15:15, Dr. Francisco Fuica Villagra from the Universidad Técnica Federico Santa María will give a talk.
Abstract: In this talk 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, necessary and sufficient, second-order optimality conditions. Two strategies of discretization are devised to approximate a solution of the optimal control problem: a semidiscrete scheme where the control variable is not discretized and a fully discrete scheme where the control variable is discretized with piecewise constant functions. For both solution techniques, we analyze convergence properties of discretizations and derive error estimates.