NCSU Differential Equations/Nonlinear Analysis Seminars

Location and Time: SAS 4201, Wednesday 15:00 -16:00

Organizers: Lorena Bociu, Patrick Combettes, Ryan Murray, and Khai T. Nguyen

NEXT TALK

Wednesday, February 25, 15:00-16:00, SAS 4201

Speaker: Paul Manns, TU Dortmund University
Title: Numerical Analysis and Decomposition for Integer Optimal Control with Total Variation
Abstract: We propose a globally convergent, coordinate descent-inspired trust-region algorithm that allows subproblem solutions restricted a partition of the domain. The restricted trust-region subproblems induce a modification of the control variable on a subdomain only. Under a subdomain overlap condition, we prove that first-order optimality is equivalent to first-order optimality per subdomain and convergence of our algorithm. We show how the subproblems and in particular the TV seminorm can be discretized without having anisotropic effects due to the underlying control discretization.
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