Chapter

Consistent approximations and approximate gradients

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: http://dx.doi.org/10.1093/acprof:oso/9780199546909.003.0009

Series: Numerical Mathematics and Scientific Computation

 Consistent approximations and approximate gradients

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This chapter puts forward a general argument to support the use of approximate gradients within optimization loops integrated with mesh refinements. However, this does not justify all the procedures that are presented in the previous chapter. The chapter proves also that smoothers are essential. This part was done in collaboration with E. Polak and N. Dicesare.

Keywords: approximate gradients; optimization loops; smoothers

Chapter.  5723 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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