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Item Details
Title: OPTIMIZATION OF ELLIPTIC SYSTEMS
THEORY AND APPLICATIONS
By: P. Neittaanmaki, Jurgen Sprekels, D. Tiba
Format: Hardback

List price: £149.99


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ISBN 10: 0387272356
ISBN 13: 9780387272351
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 December, 2005
Edition: 2006 ed.
Series: Springer Monographs in Mathematics
Pages: 512
Description: Provides a comprehensive introduction to the optimization of elliptic systems. This monograph aims to address some of the questions in the field. It is organized into six chapters that give a gradual and accessible presentation of the material. It is addressed to a large readership, primarily to graduate students and researchers.
Synopsis: The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem.The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important results and methods have already been est- lished, there are still pressing unsolved questions. In this monograph, we aim to address some of these open problems; as a consequence, there is only a minor overlap with the textbooks already existing in the field.
Illustrations: biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
Some other items by this author:
ANALYSIS AND OPTIMIZATION OF DIFFERENTIAL SYSTEMS (HB)
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CONJUGATE GRADIENT ALGORITHMS AND FINITE ELEMENT METHODS (HB)
CONTROL OF COUPLED PARTIAL DIFFERENTIAL EQUATIONS (HB)
DISSIPATIVE PHASE TRANSITIONS (HB)
EQUADIFF 99 - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS (IN 2 VOLUMES) (HB)
FREE BOUNDARY VALUE PROBLEMS (PB)
HYSTERESIS AND PHASE TRANSITIONS (HB)
HYSTERESIS AND PHASE TRANSITIONS (PB)
INVERSE PROBLEMS AND OPTIMAL DESIGN IN ELECTRICITY AND MAGNETISM (HB)
MATHEMATICAL AND NUMERICAL MODELLING IN ELECTRICAL ENGINEERING (HB)
MATHEMATICAL MODELS IN ELECTRICAL CIRCUITS: THEORY AND APPLICATIONS (HB)
NONSMOOTH OPTIMIZATION: ANALYSIS AND ALGORITHMS WITH APPLICATIONS TO OPTIMAL CONTROL
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NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS: 3RD EUROPEAN CONF, JUL 99, FINLAND (HB)
OPTIMAL CONTROL FROM THEORY TO COMPUTER PROGRAMS (HB)
OPTIMAL CONTROL OF COUPLED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS (HB)
OPTIMAL CONTROL OF NONLINEAR PARABOLIC SYSTEMS (HB)
OPTIMAL CONTROL OF NONSMOOTH DISTRIBUTED PARAMETER SYSTEMS (PB)
OPTIMAL CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS (HB)
OPTIMIZATION OF ELLIPTIC SYSTEMS (PB)
OPTIMIZATION, OPTIMAL CONTROL AND PARTIAL DIFFERENTIAL EQUATIONS (HB)
OPTIMIZATION, OPTIMAL CONTROL AND PARTIAL DIFFERENTIAL EQUATIONS (PB)
RELIABLE METHODS FOR COMPUTER SIMULATION (HB)

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