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math.OC2024
Asymptotic compatibility of parametrized optimal design problems
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study optimal design problems where the design corresponds to a coefficient in the principal part of the state equation. The state equation, in addition, is parameter dependent,…
math.OC2023
On the Optimal Control of a Linear Peridynamics Model
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our problem, we investigate…