Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimization with PDE constraints. The ?rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in?nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions.
Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimization with PDE constraints. The ?rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in?nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions.
This microhistory of the Salvagos—an Istanbul family of Venetian interpreters and spies travelling the sixteenth- and seventeenth-century Mediterranean—is a remarkable feat of the historian’s craft of storytelling. With his father having been killed by secret order of Venice and his nephew to be publicly assassinated by Ottoman authorities, Genesino Salvago and his brothers started writing self-narratives. When crossing the borders of words and worlds, the Salvagos’ self-narratives helped navigate at times beneficial, other times unsettling entanglements of empire, family, and translation. The discovery of an autobiographical text with rich information on Southeastern Europe, edited here for the first time, is the starting point of this extraordinary microbiography of a family’s intense struggle for manoeuvring a changing world disrupted by competition, betrayal, and colonialism. This volume recovers the Venetian life stories of Ottoman subjects and the crucial role of translation in negotiating a shared but fragile Mediterranean. Stefan Hanß examines an interpreter’s translational practices of the self and recovers the wider Mediterranean significance of the early modern Balkan contact zone. Offering a novel conversation between translation studies, Mediterranean studies, and the history of life-writing, this volume argues that dragomans’ practices of translation, border-crossing, and mobility were key to their experiences and performances of the self. This book is an indispensable reading for the history of the early modern Mediterranean, self-narratives, Venice, the Ottoman Empire, and Southeastern Europe, as well as the history of translation. Hanß presents a truly fascinating narrative, a microhistory full of insights and rich perspectives.
European Climate Vulnerabilities and Adaptation: A Spatial Planning Perspective analyses the impacts climate change might have on regions and their local economies. Regions clearly differ in view of the complex patterns of climate change impact, but also regarding the given vulnerability and coping capacity. Impacts of climate change can have a marked effect on the functioning of regions and sectors of the society, if not properly addressed. Readiness to adapt to the impacts and lasting changes counts towards vulnerability of the regions. The book builds upon the findings of a project conducted under the European observation network for territorial development and cohesion (ESPON), The ESPON Climate project. Following the stipulations of the ESPON programme and the tender for this project the territorial focus is the raison d’être and methodological core of the project as a whole and its various research actions: The outcomes of each action will be focused on what impacts global climate change will have for the different European regions and how the regions can cope with the projected impacts in order to become less vulnerable to climate change. This book: Provides a comprehensive analysis of climate change impacts on 29 European regions and their local economies Takes an interdisciplinary approach dealing with the physical, social, economic, environmental, cultural and institutional aspects of climate change vulnerability and the consequences for spatial planning Builds on the findings of the ESPON Climate project with a policy focused approach Is in full colour throughout with a broad range of case studies
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