An Introduction to PDE-Constrained Optimization

Prof. Dr. Roland Herzog


The term 'PDE-constrained optimization' refers to mathematical optimization problems in which partial differential equations (PDEs) appear as equality constraints. This problem class comprises optimal control, shape optimization, and parameter identification problems.

In this introductory course we begin by reviewing fundamental concepts, in particular optimality conditions, for finite dimensional optimization problems. We will then focus on prototypical problems in PDE-constrained optimization and develop their optimality conditions. Finally, we will provide a brief overview over algorithmic paradigms.

Date and Place


TUM Mathematik Rutschen Universität der Bundeswehr München Technische Universität Graz Karl-Franzens-Universität Graz Technische Universität München
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