Projects

The focus lies on the development of mathematical decomposition methods for mixed-integer nonlinear optimal control problems on networks. On the top level (master) mixed-integer linear problems are in place, whereas in the sub-problem only continuous variables are considered. The exchange between the levels is performed not only via cutting planes, but also via the modelling of disjunctions to deal with non-convex optimal control problems as well. The overall emphasis is the mathematical analysi…

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The projected research aims at the simulation-based optimization of predictive models of coupled process chains. This makes it possible to optimize both the conditions of the single processes and the configuration of the entire process chain integrated into an MRT with respect to the desired particle properties. The methods and algorithms to be developed during the funding period build up a general toolbox for simulation and optimization of dynamic processes relevant to the SPP, thereby generali…

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The focus lies on the development of mathematical decomposition methods for mixed-integer nonlinear optimal control problems on networks. On the top level (master) mixed-integer linear problems are in place, whereas in the sub-problem only continuous variables are considered. The exchange between the levels is performed not only via cutting planes, but also via the modelling of disjunctions to deal with non-convex optimal control problems as well. The overall emphasis is the mathematical analysi…

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Fehlende direkte Beobachtbarkeit und unzureichend bestimmbare Materialdaten erschweren eine direkte physikalisch mathematische Modellierung der Stimmentstehung. Aus diesem Grunde werden in den Teilprojekten APP, IMFD und AMK numerische Modelle mit unterschiedlichen Schwerpunkten entwickelt, mit deren Hilfe die dynamischen Eigenschaften des menschlichen Kehlkopfs untersucht werden. Um das tatsächliche Schwingungsverhalten menschlicher Stimmlippen möglichst genau nachbilden zu könne…

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Die Optimierung komplexer Bauteile oder Strukturen und die optimale Steuerung von Prozessen, die durch Systeme mit verteilten Parametern, also in der Regel durch gekoppelte partielle Differentialgleichungen beschrieben werden, stellen allein angesichts der typischerweise in die Millionen reichenden Variablen eine große Herausforderung für die Ingenieurwissenschaften, die Medizin, die Naturwissenschaften und insbesondere für die Angewandte Mathematik dar. Die typische Vorgehenswei…

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The economic production of particulate products with exactly pre-defined characteristics is of enormous relevance. Although there are different particle formation routes they may all be described by one class of equations. Therefore, simulation of such processes comprises solution of nonlinear, hyperbolic integro-partial differential equations. This project aims to study this class of equations in order to develop efficient tools for the inverse solution, i.e. determining the optimal process con…

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The coordinator administers the budget for the guest program, workshops publications and dissemination. A kick-off meeting will be organized in the first year (2006), a status-meeting as well as specified workshops will be held in 2007. Finally, in 2008 an international Conference will be organized and a general meeting of the members of the priority program will provide a resume of the first period as well as an outlook to the second funding period. There will be a guest program both for local…

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