E Book

Variational Methods in Shape Optimization Problems

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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.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.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Boston : Birkhauser., 2005

Deskripsi Fisik

VIII, 216 p.online resource.

Bahasa

English

ISBN/ISSN

9780817644031

Klasifikasi

515.64

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Mathematical optimization.
Optimization.
Applied mathematics.
Engineering mathematics.
Applications of Mathematics.
Calculus of variations.
Calculus of Variations and Optimal Control; Optimization.
Functional analysis.
Partial differential equations.
Difference equations.
Functional equations.
Difference and Functional Equations.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Dorin Bucur, Giuseppe Buttazzo.

Versi lain/terkait

Lampiran Berkas

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