Optimization of Elliptic Systems

Theory and Applications
2006
ISBN: 978-0-387-27235-1
Verlag: Springer

Buch, Englisch, 512 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 951 g

Reihe: Springer Monographs in Mathematics

This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. The book addresses some of the pressing unsolved questions in the field, concentrating on two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout, the authors elucidate connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible to include larger classes of possible applications. The six chapters give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples. In addition to its appeal to students and researchers, much of this material will prove useful for scientists from other fields where the optimization of elliptic systems occurs, such as physics, mechanics, and engineering.

Zielgruppe

Research

Autoren/Hrsg.

Neittaanmaki, Pekka

Tiba, Dan

Sprekels, Jürgen

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.