Variational Methods in Shape Optimization Problems

Erscheinungsjahr 2005
ISBN: 978-0-8176-4359-1
Verlag: Birkhäuser

Buch, Englisch, Band 65, 216 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1100 g

Reihe: Progress in Nonlinear Differential Equations and Their Applications

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

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
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

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.