Optimization of Elliptic Systems

Theory and Applications

Pekka Neittaanmäki, Jürgen Sprekels, Dan Tiba - Collection Springer Monographs in Mathematics

508 pages, parution le 31/10/2005

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Résumé

This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important application in science and technology, has experienced an impressive development during the last two decades. This monograph aims to address some of the pressing unsolved questions in the field. The exposition concentrates along two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout this monograph, the authors elucidate connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible in order to include larger classes of possible applications. The book is organized into six chapters that give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples.

This monograph is addressed to a large readership, primarily to graduate students and researchers working in this field of mathematics. Much of this material will prove useful also for scientists from other fields where the optimization of elliptic systems occurs, such as physics, mechanics, and engineering.

Sommaire

Preface
Introductory topics
Existance
Optimality conditions
Discretization
Unknown domains
Optimization of curved mechanical systems
Appendix 1: Convex mappings and monotone operators
Appendix 2: Elliptic equations and variational inequalities
Appendix 3: Domain convergence
References

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Pekka Neittaanmäki, Jürgen Sprekels, Dan Tiba
Collection	Springer Monographs in Mathematics
Parution	31/10/2005
Nb. de pages	508
Format	16 x 24,5
Couverture	Relié
Poids	850g
Intérieur	Noir et Blanc
EAN13	9780387272351
ISBN13	978-0-387-27235-1