Introduction to shape optimization : theory, approximation, and computation /
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| Format: | eBook |
| Language: | English |
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Philadelphia :
SIAM, Society for Industrial and Applied Mathematics,
[2003]
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| Series: | Advances in design and control.
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| Online Access: | Connect to the full text of this electronic book |
| Abstract: | The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathematical and computational aspects of sizing and shape optimization enables readers to gain a firm understanding of the theoretical and practical aspects so they may confidently enter this field. Introduction to Shape Optimization: Theory, Approximation, and Computation treats sizing and shape optimization comprehensively, covering everything from mathematical theory (existence analysis, discretizations, and convergence analysis for discretized problems) through computational aspects (sensitivity analysis, numerical minimization methods) to industrial applications. Applications include contact stress minimization for elasto-plastic bodies, multidisciplinary optimization of an airfoil, and shape optimization of a dividing tube. By presenting sizing and shape optimization in an abstract way, the authors are able to use a unified approach in the mathematical analysis for a large class of optimization problems in various fields of physics. Audience: the book is written primarily for students of applied mathematics, scientific computing, and mechanics. Most of the material is directed toward graduate students, although a portion of it is suitable for senior undergraduate students. Readers are assumed to have some knowledge of partial differential equations and their numerical solution, as well as modern programming language such as C++ Fortran 90. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xviii, 273 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 263-270) and index. |
| ISBN: | 9780898718690 0898718694 9781680157888 1680157884 |