Introduction to Shape Optimization
Introduction to Shape Optimization
Theory, Approximation, and Computation
April 2003
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Hardback
9780898715361
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£75.00
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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.
Product details
April 2003Hardback
9780898715361
291 pages
261 × 183 × 19 mm
0.666kg
This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
- 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.
