Optimization of Elliptic Systems : Theory and Applications /
By: Neittaanmaki, Pekka [author.].
Contributor(s): Tiba, Dan [author.1] | Sprekels, J�rgen [author.2 ] | SpringerLink (Online service)0.
Material type:
BookSeries: Springer Monographs in Mathematics.New York, NY : Springer New York, 2006. Description: XVI, 512 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387272368.Subject(s): Mathematics | Partial differential equations | Applied mathematics | Engineering mathematics | Mathematical optimization.1 | Mathematics.2 | Optimization.2 | Partial Differential Equations.2 | Applications of Mathematics.1DDC classification: 519.6 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK7685 |
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.
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 primarily to mathematics graduate students and researchers, however much of this material will also prove useful for scientists from physics, mechanics, and engineering.
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