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DTSTART;VALUE=DATE:20160503T171500
DTEND;VALUE=DATE:20160503T171500
UID:5742@agenda.unifr.ch
DESCRIPTION:When analyzing mathematical models for complex dynamical systems, their analysis and numerical simulation is often only a first step. Thereafter, one often wishes to complete the analysis by an optimization step to exploit inherent degrees of freedom for optimizing a desired performance index with the dynamical system as side condition. This generally leads to optimization problems of extremely high complexity if the underlying system is described by (time dependent) partial differential equations (PDEs) or, more generally, by a system of partial differential algebraic equations (PDAEs). \n\nIn the talk we will report on some of the lastest achievements on the field of optimization with PDEs and exhibit the challenges we are facing and have to cope with to solve such tasks.\nIn the introduction three problems from engineering sciences are presented:\nHot cracking in welding of aluminium alloys\nIntercontinental flights at hypersonic speeds\nThe optimal control of certain fuell cell systems for an environmentally friendly production of electricity. After this motivation an outline of the mathematical theory of optimal control problems for one elliptic equation is given to depict the purpose of solving optimal control problems by first order necessary conditions. Thereafter two numerical concepts, namely First optimize then discretize and First discretize then optimize are discussed with respect to their pros and cons as well as an overlook on the mathematical toolbox from the literature is given.\nThe main part of the talk then deals with the results for optimal load changes when applying the two aforementioned methodologies including a method for the practical realisation of the computed optimal solutions based on model reduction techniques.
SUMMARY:Prof. Hans Josef Pesch (Uni Bayreuth): Optimal Control of Dynamical Systems Governed by Partial Differential Equations
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5742
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