2 citations · 3 across the 19 of their papers we have counts for
4 papers · 1 filter
Optimal control of fractional diffusion with Dirac measures
Enrique Otarola, Abner J. Salgado
We study a PDE-constrained optimization problem for an elliptic equation with the spectral fractional Laplacian and a linear combination of Dirac measures as the forcing term; the…
A pointwise tracking optimal control problem for a fractional, semilinear PDE
Enrique Otarola, Abner J. Salgado
We analyze an optimal control problem with pointwise tracking for a fractional semilinear elliptic partial differential equation. The diffusion is characterized by the spectral fra…
A perturbed preconditioned gradient descent method for the unconstrained minimization of composite objectives
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
We introduce a perturbed preconditioned gradient descent (PPGD) method for the unconstrained minimization of a strongly convex objective with a locally Lipschitz continuous gra…
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,…