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OverviewThe 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: * Presents foundational introduction to shape optimization theory * Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains * Treats optimal control problems under a general scheme, giving a topological framework, a survey of gamma -convergence, and problems governed by ODE * Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions * Studies optimization problems for obstacles and eigenvalues of elliptic operators * Poses several open problems for further research * Substantial bibliography and index 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. Full Product DetailsAuthor: Dorin Bucur , Giuseppe ButtazzoPublisher: Springer Imprint: Springer Dimensions: Width: 23.40cm , Height: 1.20cm , Length: 15.60cm Weight: 0.327kg ISBN: 9780817670788ISBN 10: 0817670785 Pages: 228 Publication Date: 10 September 2008 Audience: General/trade , General Format: Undefined Publisher's Status: Unknown Availability: Out of stock ![]() Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |