Introduction to shape optimization : theory, approximation, and computation

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Bibliographic Details
Main Author Haslinger, J.
Other Authors Mäkinen, R. A. E.
Format Electronic eBook
LanguageEnglish
Published Philadelphia : SIAM, Society for Industrial and Applied Mathematics, ©2003.
SeriesAdvances in design and control.
Subjects
Online AccessFull text
ISBN9780898718690
0898718694
9781680157888
1680157884
0898715369
9780898715361
Physical Description1 online resource (xviii, 273 pages) : illustrations

Cover

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.