Numerical Analysis for PDE-Constrained Optimal Control Problems
Organizers:
Ira Neitzel (Technische Universitat Munchen, Germany) and Johannes Pfefferer (Universitat der Bundeswehr Munchen, Germany)
Abstract:
Mathematical models of many optimization problems appearing in science, industry,
economics, or medicine involve constraints in form of partial dierential equations
(PDEs). Due to these PDE-constraints, the corresponding optimization problems can
in general not be tackled directly, but are solved numerically either after discretization
of the whole problem or by solving discretized optimality conditions that were obtained
in functions spaces. In either case, an important step of the discretization process
is the discretization of the PDE by e.g. finite elements. Among others, important
research topics arising in this context involve the development of a priori and a posteriori error estimates for a given quantity of interest such as the optimal control. In
recent years, PDE-constrained optimal control problems with a wide range of additional
mathematical dfficulties either due to regularity issues of the PDE, the computational
domain, or additional constraints such as state- or gradient-state constraints have been
investigated.
The proposed mini-symposium intends to bring together scientist working in the field of
numerical analysis for PDE-constrained optimal control problems to provide a platform
for an exchange of new results and different viewpoints.
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