Incomplete sensitivities

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

 Incomplete sensitivities

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This chapter discusses incomplete sensitivity. Incomplete sensitivity means that during sensitivity evaluation, only the deformation of the geometry is accounted for and the change of the state variable due to the change of geometry is ignored. The chapter gives the class of functionals for which this assumption can be made. Incomplete sensitivity calculations are illustrated on several model problems, giving the opportunity of introducing low-complexity models for sensitivity analysis. The chapter shows by experience that the accuracy is sufficient for quasi-Newton algorithms, and also that the complexity of the method is drastically reduced making possible real time sensitivity analysis latter used for unsteady applications.

Keywords: incomplete sensitivity; geometry deformation; real time sensitivity analysis

Chapter.  5912 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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