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Introduction to shape optimization : theory, approximation, and computation /
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 mathe...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Philadelphia :
SIAM, Society for Industrial and Applied Mathematics,
©2003.
|
| Colección: | Advances in design and control.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Haslinger, J. | |
| 245 | 1 | 0 | |a Introduction to shape optimization : |b theory, approximation, and computation / |c J. Haslinger, R.A.E. Mäkinen. |
| 260 | |a Philadelphia : |b SIAM, Society for Industrial and Applied Mathematics, |c ©2003. | ||
| 300 | |a 1 online resource (xviii, 273 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Advances in design and control | |
| 504 | |a Includes bibliographical references (pages 263-270) and index. | ||
| 505 | 0 | |a Why the mathematical analysis is important -- A mathematical introduction to sizing and shape optimization -- Sensitivity analysis -- Numerical minimization methods -- On automatic differentiation of computer programs -- Fictitious domain methods in shape optimization -- Applications in elasticity -- Fluid mechanical and multidisciplinary applications -- Appendix A: Weak formulations and approximations of elliptic equations and inequalities -- Appendix B: On parametrizations of shapes and mesh generation. | |
| 520 | 3 | |a 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. | |
| 590 | |a Knovel |b ACADEMIC - General Engineering & Project Administration | ||
| 650 | 0 | |a Structural optimization |x Mathematics. | |
| 650 | 6 | |a Optimisation des structures |x Mathématiques. | |
| 650 | 7 | |a Structural optimization |x Mathematics |2 fast | |
| 653 | |a Structural optimization | ||
| 653 | |a Approximation | ||
| 653 | |a Computation | ||
| 700 | 1 | |a Mäkinen, R. A. E. | |
| 776 | 0 | 8 | |i Print version: |a Haslinger, J. |t Introduction to shape optimization. |d Philadelphia : SIAM, Society for Industrial and Applied Mathematics, ©2003 |z 0898715369 |w (DLC) 2003041589 |w (OCoLC)51454598 |
| 830 | 0 | |a Advances in design and control. | |
| 856 | 4 | 0 | |u https://appknovel.uam.elogim.com/kn/resources/kpISOTAC02/toc |z Texto completo |
| 994 | |a 92 |b IZTAP | ||