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.
Sprache
Verlagsort
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 228 mm
Breite: 152 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-0-89871-536-1 (9780898715361)
Schweitzer Klassifikation
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.
