Introduction to Shape Optimization: Theory, Approximation, and Computation

摘要: Preface Notation Introduction Part I. Mathematical aspects of sizing and shape optimization. 1. Why the mathematical analysis is important 2. A introduction to optimization II. Computational 3. Sensitivity 4. Numerical minimization methods 5. On automatic differentiation computer programs 6. Fictitious domain in III. Applications. 7. Applications elasticity 8. Fluid mechanical multidisciplinary applications Appendix A. Weak formulations approximations elliptic equations inequalities B. parametrizations shapes mesh generation Bibliography Index.