The efficient numerical solution of PDE constrained optimization
problems plays an important role in many engineering and science
applications. The development of robust and efficient numerical
algorithms requires the integration of tools from several
mathematical subdisciplines, often only described individually in
books or journal articles. The goal of this book is to provide
readers with a brief introduction to this active research area as
well as with an overview of the state-of-the-art in the important
topics of adaptive discretizations of PDE optimization problems,
handling of control and state constraints, domain decomposition and
homogenization of PDEs on networks, and reduced order modeling.
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