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Introduction to Shape Optimization

Introduction to Shape Optimization
Theory, Approximation, and Computation

Part of Advances in Design and Control

  • Date Published: April 2003
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9780898715361


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About the Authors
  • 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.

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    Product details

    • Date Published: April 2003
    • format: Hardback
    • isbn: 9780898715361
    • length: 291 pages
    • dimensions: 261 x 183 x 19 mm
    • weight: 0.666kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    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

  • Authors

    J. Haslinger

    R. A. E. Mäkinen, University of Jyväskylä, Finland

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