Local and global optimization

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Second edition

Published in print September 2009 | ISBN: 9780199546909
Published online February 2010 | e-ISBN: 9780191720482 | DOI:

Series: Numerical Mathematics and Scientific Computation

 Local and global optimization

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This chapter gives a survey of optimization algorithms seen as discrete forms of dynamical systems. The presentation is not intended to be exhaustive but rather reflects our practical experience. Local and global optimizations are discussed. A unified formulation is proposed for both deterministic and stochastic optimizations. This formulation is suitable for multi-physics problems where a coupling between different models is necessary.

Keywords: global optimization; dynamical systems; unified formulation; multi-physics problems

Chapter.  7307 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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