Bucur / Buttazzo Variational Methods in Shape Optimization Problems

1. Auflage 2006
ISBN: 978-0-8176-4403-1
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 217 Seiten, Web PDF

Reihe: Mathematics and Statistics

The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems. Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.

Zielgruppe

Research

Autoren/Hrsg.

Bucur, Dorin

Buttazzo, Giuseppe

Inhaltsverzeichnis

to Shape Optimization Theory and Some Classical Problems.- Optimization Problems over Classes of Convex Domains.- Optimal Control Problems: A General Scheme.- Shape Optimization Problems with Dirichlet Condition on the Free Boundary.- Existence of Classical Solutions.- Optimization Problems for Functions of Eigenvalues.- Shape Optimization Problems with Neumann Condition on the Free Boundary.