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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Introduction
verfasst von : Günter Leugering, Andreas Griewank, Stefan Ulbrich, Helmut Harbrecht, Peter Benner, Rolf Rannacher, Michael Hinze, Sebastian Engell
Erschienen in: Trends in PDE Constrained Optimization
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Abstract
Problems of optimization and optimal control subject to constraints governed by partial differential equations (PDEs) arise in a huge variety of industrial, technological, economic, medical and environmental applications. The questions that appear in this field range from shape and topology optimization problems, such as optimal design of the wing of an aircraft, to optimal control of water flow in irrigation canals and medical separation processes of biological cells. For a fruitful and comprehensive study of such optimization problems, it is crucial to combine innovative optimization techniques with new algorithmic and numerical approaches.