Variational Methods in Shape Optimization Problems

Inbunden, Engelska, 2005

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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.Key topics and features include:- Presents foundational introduction to shape optimization theory- Poses several open problems for further research- Substantial bibliography and indexDriven 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.

Produktinformation

Utgivningsdatum2005-07-01
Mått155 x 235 x 18 mm
Vikt512 g
FormatInbunden
SpråkEngelska
SerieProgress in Nonlinear Differential Equations and Their Applications
Antal sidor216
Upplaga2005
FörlagBirkhauser Boston Inc
ISBN9780817643591

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From the reviews: "The book under review deals with some variational methods to treat shape optimization problems ... . The book contains a complete study of mathematical problems for scalar equations and eigenvalues, in particular regarding the existence of solutions in shape optimization. ... The main goal of the book is to focus on the existence of an optimal shape, necessary conditions of optimality, and stability of optimal solutions under some prescribed kind of perturbations." (Jan Sokolowski, Mathematical Reviews, Issue 2006 j) "The authors predominantly analyze optimal shape and optimal control problems ... . The book, though slim, is rich in content and provides the reader with a wealth of information, numerous analysis and proof techniques, as well as useful references (197 items). ... Numerous nontrivial examples illustrate the theory and can please even those readers who are rather application-oriented."--- (Jan Chleboun, Applications of Mathematics, Vol. 55 (5), 2010)