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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


Introduction

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/9780199546909.003.0001
Subject:
Mathematics, Mathematical Physics

This is a general introduction with prospective issues. This book discusses shape optimization problems for fluids and presents the state of the art in shape optimization for an extended range of ... More


Local and global optimization

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/9780199546909.003.0007
Subject:
Mathematics, Mathematical Physics

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. ... More


Consistent approximations and approximate gradients

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/9780199546909.003.0009
Subject:
Mathematics, Mathematical Physics

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 ... More


Control of unsteady flows

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/9780199546909.003.0011
Subject:
Mathematics, Mathematical Physics

This chapter presents applications of shape optimization algorithms to cases where the flow is unsteady for rigid and elastic bodies, and shows that control and OSD problems are particular cases of a ... More


Topological optimization for fluids

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/9780199546909.003.0013
Subject:
Mathematics, Mathematical Physics

This chapter describes topological optimization for some academic applications. It begins with the derivation of a Dirichlet boundary condition on a shrinking hole. It shows how the problem can be ... More


Optimization

Max A. Little

in Machine Learning for Signal Processing: Data Science, Algorithms, and Computational Statistics

Published in print:
2019
Published Online:
October 2019
ISBN:
9780198714934
eISBN:
9780191879180
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198714934.003.0002
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy, Mathematical Physics

Decision-making under uncertainty is a central topic of this book. A common scenario is the following: data is recorded from some (digital) sensor device, and we know (or assume) that there is some ... More


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