Introduction to Shape Optimization: Theory, Approximation, and Computation - Rilegato

Haslinger, J.; Mäkinen, R. A. E.

Rilegato

ISBN 10: 0898715369 ISBN 13: 9780898715361

Casa editrice: Society for Industrial and Applied Mathematics, 1987

Riassunto

Treats sizing and shape optimization in a comprehensive way, covering everything from mathematical theory through computational aspects to industrial applications.

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Descrizione del libro

Treats sizing and shape optimization in a comprehensive way, 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.

Contenuti

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.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 0898715369
• ISBN 13: 9780898715361
• Rilegatura: Copertina rigida
• Numero di pagine: 291
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile