Title: One-shot multigrid for the optimal control of time-periodic partial differential equations
Authors: Abbeloos, Dirk ×
Vandewalle, Stefan
Diehl, Moritz #
Issue Date: 27-Nov-2009
Host Document: Book of abstracts DYSCO Study Day pages:32-32
Conference: Study Day Dynamical Systems, Control and Optimization location:Leuven, Belgium date:27 November 2009
Abstract: We present a one-shot multigrid method for the optimal boundary control of time-periodic,
linear, parabolic partial differential equations. We focus on optimal control problems of
the tracking type, i.e., we try to steer the PDE solution such that it matches a prescribed
periodic trajectory, or segment thereof, as closely as possible. To that end we derive the
optimality conditions of such problems. We develop a multigrid method for solving the
resulting coupled system of forward and backward time-periodic equations.
Publication status: published
KU Leuven publication type: AMa
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

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