Optimal Control Of Complex Structures

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Optimal Control For Mathematical Models Of Cancer Therapies

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Author : Heinz Schättler
language : en
Publisher: Springer
Release Date : 2015-09-15

Optimal Control For Mathematical Models Of Cancer Therapies written by Heinz Schättler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-15 with Mathematics categories.

This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.

Mathematical Modeling And Optimization Of Complex Structures

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Author : Pekka Neittaanmäki
language : en
Publisher: Springer
Release Date : 2015-10-07

Mathematical Modeling And Optimization Of Complex Structures written by Pekka Neittaanmäki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-07 with Technology & Engineering categories.

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Technology For Large Space Systems

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Author :
language : en
Publisher:
Release Date : 1982

Technology For Large Space Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Large space structures (Astronautics) categories.

Optimization With Pde Constraints

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Author : Michael Hinze
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-16

Optimization With Pde Constraints written by Michael Hinze and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-16 with Mathematics categories.

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.

Semismooth Newton Methods For Variational Inequalities And Constrained Optimization Problems In Function Spaces

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Author : Michael Ulbrich
language : en
Publisher: SIAM
Release Date : 2011-07-28

Semismooth Newton Methods For Variational Inequalities And Constrained Optimization Problems In Function Spaces written by Michael Ulbrich and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-28 with Mathematics categories.

A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.

Large Scale Scientific Computing

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Author : Ivan Lirkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-28

Large Scale Scientific Computing written by Ivan Lirkov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-28 with Computers categories.

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Large-Scale Scientific Computations, LSSC 2007, held in Sozopol, Bulgaria, in June 2007. The 81 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on robust multilevel and hierarchical preconditioning methods; monte carlo: tools, applications, distributed computing; operator splittings, their application and realization; recent advances in methods and applications for large scale computations and optimization of coupled engineering problems; control systems; environmental modelling; computational grid and large-scale problems; application of metaheuristics to large-scale problems; and contributed talks.

Model Error Concepts Compensation

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Author : R.E. Skelton
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Model Error Concepts Compensation written by R.E. Skelton and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Technology & Engineering categories.

Presents a state-of-the-art review of model error concepts, their characterization and compensation in estimation and control problems, with particular emphasis on error propagation, model order selection, performance guarantees, sensitivity and adaptive methods. Main topics covered include linear and nonlinear systems, identification, robotics, computer-aided design, signal processing, computers and communication in control, automation and real time control of processes.

Structural Design Via Optimality Criteria

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Author : George I. N. Rozvany
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Structural Design Via Optimality Criteria written by George I. N. Rozvany and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

"During the last two decades, research on structural optimization became increasingly concerned with two aspects: the application of general numeri cal methods of optimization to structural design of complex real structures, and the analytical derivation of necessary and sufficient conditions for the optimality of broad classes of comparatively simple and more or less ideal ized structures. Both kinds of research are important: the first for obvious reasons; the second, because it furnishes information that is useful in testing the validity, accuracy and convergence of numerical methods and in assess ing the efficiency of practical designs. {raquo} (Prager and Rozvany, 1977a) The unexpected death of William Prager in March 1980 marked, in a sense, the end of an era in structural mechanics, but his legacy of ideas will re main a source of inspiration for generations of researchers to come. Since his nominal retirement in the early seventies, Professor and Mrs. Prager lived in Savognin, an isolated alpine village and ski resort surrounded by some of Switzerland's highest mountains. It was there that the author's close as sociation with Prager developed through annual pilgrimages from Australia and lengthy discussions which pivoted on Prager's favourite topic of struc tural optimization. These exchanges took place in the picturesque setting of Graubunden, on the terrace of an alpine restaurant overlooking snow-capped peaks, on ski-lifts or mountain walks, or during evening meals in the cosy hotels of Savognin, Parsonz and Riom.

Computational Optimization Of Systems Governed By Partial Differential Equations

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Author : Alfio Borzi
language : en
Publisher: SIAM
Release Date : 2011-01-01

Computational Optimization Of Systems Governed By Partial Differential Equations written by Alfio Borzi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.

This book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes. The book offers readers a combined treatment of PDE-constrained optimization and uncertainties and an extensive discussion of multigrid optimization. It provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems.

Computation And Applied Mathematics

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Author :
language : en
Publisher:
Release Date : 2002

Computation And Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.