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Applied Shape Optimization for Fluids$
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Bijan Mohammadi and Olivier Pironneau

Print publication date: 2009

Print ISBN-13: 9780199546909

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199546909.001.0001

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Consistent approximations and approximate gradients

Consistent approximations and approximate gradients

Chapter:
(p.184) 9 Consistent approximations and approximate gradients
Source:
Applied Shape Optimization for Fluids
Author(s):

Bijan Mohammadi

Olivier Pironneau

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199546909.003.0009

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

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