4 papers
An online adaptive finite-element method for nonsmooth PDE-constrained optimization
Harbir Antil, Robert J. Baraldi, Rohit Khandelwal +1
We present a trust-region-based adaptive finite-element algorithm for numerically solving a class of nonsmooth PDE-constrained optimization problems that includes problems with spa…
An Inexact Weighted Proximal Trust-Region Method
Leandro Farias Maia, Robert Baraldi, Drew P. Kouri
In [R. J. Baraldi and D. P. Kouri, Math. Program., 201:1 (2023), pp. 559-598], the authors introduced a trust-region method for minimizing the sum of a smooth nonconvex and a nonsm…
A multilevel proximal trust-region method for nonsmooth optimization with applications
Robert Baraldi, Michael Hintermüller, Qi Wang
Many large-scale optimization problems arising in science and engineering are naturally defined at multiple levels of discretization or model fidelity. Multilevel methods exploit t…
Domain decomposition for integer optimal control with total variation regularization
Robert Baraldi, Paul Manns
Total variation integer optimal control problems admit solutions and necessary optimality conditions via geometric variational analysis. In spite of the existence of said solutions…