Title: A multigrid method of the second kind for the optimal control of time-­periodic parabolic PDEs
Authors: Abbeloos, Dirk ×
Vandewalle, Stefan
Diehl, Moritz #
Issue Date: May-2010
Host Document: Book of abstracts DYSCO Study Day pages:17-17
Conference: Study Day Dynamical Systems, Control and Optimization location:Gent date:31 May 2010
Abstract: We present a multigrid method of the second kind to optimize
time-­periodic, parabolic, partial differential equations (PDE). We consider a quadratic tracking objective with a linear PDE constraint. The first order optimality conditions
are given by a coupled system of boundary value problems.
These conditions can be rewritten as an integral equation of
the second kind, which is solved by multigrid of the second kind.
The evaluation of the integral operator consists of solving sequentially a boundary value problem for respectively the
state and the adjoints. Both are solved effciently by a space-­time multigrid method.
Publication status: published
KU Leuven publication type: AMa
Appears in Collections: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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