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J. Haslinger, R. A. E. Mäkinen, R.a.e. Mäkinen

Introduction to Shape Optimization

Theory, Approximation, and Computation

Gebonden Engels 1987 9780898715361

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Samenvatting

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.

Specificaties

ISBN13:9780898715361

Taal:Engels

Bindwijze:Gebonden

Aantal pagina's:291

Uitgever:Society for Industrial and Applied Mathematics

Serie:Advances in Design a

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Inhoudsopgave

Preface; Notation; Introduction; Part I. Mathematical aspects of sizing and shape optimization. 1. Why the mathematical analysis is important; 2. A mathematical introduction to sizing and shape optimization; Part II. Computational aspects of sizing and shape optimization. 3. Sensitivity analysis; 4. Numerical minimization methods; 5. On automatic differentiation of computer programs; 6. Fictitious domain methods in shape optimization; Part III. Applications. 7. Applications in elasticity; 8. 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; Bibliography; Index.

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