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Variational Methods in Shape Optimization Problems (Progress in Nonlinear Differential Equations and Their Applications) PDF

217 Pages·2005·2.108 MB·English
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by Dorin Bucur, Giuseppe Buttazzo| 2005| 217 pages| 2.108| English

About Variational Methods in Shape Optimization Problems (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. 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.

Detailed Information

Author:Dorin Bucur, Giuseppe Buttazzo
Publication Year:2005
ISBN:817643591
Pages:217
Language:English
File Size:2.108
Format:PDF
Price:FREE
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