Real-Time PDE-Constrained Optimization (Computational Science and Engineering)

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9780898716214: Real-Time PDE-Constrained Optimization (Computational Science and Engineering)
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...a timely contribution to a field of growing importance. This carefully edited book presents a rich collection of chapters ranging from mathematical methodology to emerging applications. I recommend it to students as a rigorous and comprehensive presentation of simulation-based optimization and to researchers as an overview of recent advances and challenges in the field. Jorge Nocedal, Professor, Northwestern University. Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs and the requirement for rapid solution pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Despite difficulties, there is a pressing need to capitalize on continuing advances in computing power to develop optimization methods that will replace simple rule-based decision making with optimized decisions based on complex PDE simulations. Audience The book is aimed at readers who have expertise in simulation and are interested in incorporating optimization into their simulations, who have expertise in numerical optimization and are interested in adapting optimization methods to the class of infinite-dimensional

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This book - the first to be devoted to real-time optimization for systems governed by PDEs - focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. The book presents state-of-the-art algorithms and formulations, illustrated with a diverse set of applications.

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About the Authors Lorenz T. Biegler is the Bayer Professor of Chemical Engineering at Carnegie Mellon University. His research interests are in the development and application of concepts in optimization theory, operations research, and numerical methods for process design, analysis, and control. Omar Ghattas is the John A. and Katherine G. Jackson Chair in Computational Geosciences at the University of Texas at Austin. His research focuses on optimization, parameter estimation, and uncertainty quantification for large-scale problems in the geological, mechanical, and biomedical engineering sciences. Matthias Heinkenschloss is Professor of Computational and Applied Mathematics at Rice University. His research interests are in numerical solution of large-scale optimization, optimal control, and parameter identification problems; domain decomposition methods; preconditioning of KKT systems; error estimation for optimal control problems; and applications in science and engineering. David E. Keyes is the Fu Foundation Professor of Applied Mathematics at Columbia University. He works at the algorithmic interface between parallel computing and the numerical analysis of partial differential equations, across a spectrum of aerodynamic, geophysical, and chemically reacting flows. Bart van Bloemen Waanders is Principal Member of the Technical Staff at Sandia National Laboratories. His main area of research is the development, analysis, and application of methods for PDE-constrained optimization, especially for large state and design spaces, including inverse problems, shape optimization, and design problems.

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L.T. Biegler; O. Ghattas; M. Heinkenschloss; D. Keyes; B. van Bloemen Waanders
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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2007. Paperback. Condition: New. Language: English . Brand New Book. Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs - and the requirement for rapid solution - pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Seller Inventory # AAN9780898716214

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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2007. Paperback. Condition: New. Language: English . Brand New Book. Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs - and the requirement for rapid solution - pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Seller Inventory # AAN9780898716214

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