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Applied Shape Optimization for Fluids

Bijan Mohammadi and Olivier Pironneau

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199546909
eISBN:
9780191720482
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546909.001.0001
Subject:
Mathematics, Mathematical Physics

The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering ... More


Sensitivity evaluation and automatic differentiation

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199546909
eISBN:
9780191720482
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546909.003.0005
Subject:
Mathematics, Mathematical Physics

This chapter describes sensitivity analysis and automatic differentiation (AD). These include the theory, then an object oriented library for AD by operator overloading, and finally the authors' ... More


Adjoints by automatic differentiation

L. Hascoët

in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

Published in print:
2014
Published Online:
March 2015
ISBN:
9780198723844
eISBN:
9780191791185
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723844.003.0015
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This chapter describes how adjoint algorithms can be created by automatic differentiation (AD). Data assimilation makes intensive use of gradients. In many situations, the so-called adjoint approach ... More


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