Introduction to shape optimization : theory, approximation, and computation /

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 mathe...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Haslinger, J.
Other Authors: Mäkinen, R. A. E.
Format: Electronic eBook
Language:Inglés
Published: Philadelphia : SIAM, Society for Industrial and Applied Mathematics, ©2003.
Series:Advances in design and control.
Subjects:
Structural optimization > Mathematics.
Optimisation des structures > Mathématiques.
Structural optimization > Mathematics
Structural optimization
Approximation
Computation
Online Access:Texto completo
Table of Contents:
  • Why the mathematical analysis is important
  • A mathematical introduction to sizing and shape optimization
  • Sensitivity analysis
  • Numerical minimization methods
  • On automatic differentiation of computer programs
  • Fictitious domain methods in shape optimization
  • Applications in elasticity
  • 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.

Similar Items