Optimization loops for shape and error control

Alain Dervieux Laurent Hascoët Mariano Vázquez Bruno Koobus

Proceedings of Post-SAROD-2005 workshop, Bangalore, India, 2005 (11 pages)

Abstract: This paper proposes a strategy to derive an adjoint-based optimization code from a numerical simulation code. The strategy involves utilization of Automatic Differentiation (AD), and in fact was a motivating application for several studies and improvements of AD. The strategy gives best results when interfaced with modern optimization methods, such as "one-shot" or "multi-level". This paper presents a set of application examples where this strategy was used, and gives some experimental results. We also discuss some theoretical questions related to the computation of gradients and the optimization process in general.

Keywords: Automatic Differentiation, Optimization, Computational Fluid Dynamics

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@inProceedings{PSarod05,
  author = {Dervieux, A. and Hasco\"et, L. and Vazquez, M. and Koobus, B.},
  title = {"Optimization loops for shape and error control"},
  booktitle = {Recent Trends in Aerospace Design and Optimization},
  editor = {Uthup, B. and Koruthu, S.-P. and Sharma, R.-K. and Priyadarshi, P.},
  publisher = {Tata-McGraw Hill, New Delhi},
  pages = "363-373",
  note = {Post-SAROD-2005, Bangalore, India},
  year = 2005
}

Extended Journal version