Applied optimal shape design

This paper is a short survey of optimal shape design (OSD) for fluids. OSD is an interesting field both mathematically and for industrial applications. Existence, sensitivity, correct discretization are important theoretical issues. Practical implementation issues for airplane designs are critical t...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2002-12, Vol.149 (1), p.193-205
Main Authors: Mohammadi, B., Pironneau, O.
Format: Article
Language:English
Subjects:
Aerodynamics
Calculus of variations and optimal control
Computational methods in fluid dynamics
Exact sciences and technology
Finite elements
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematics
Mesh adaptation
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical methods in mathematical programming, optimization and calculus of variations
Optimization
Physics
Sciences and techniques of general use
Shape design
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Description
Summary:This paper is a short survey of optimal shape design (OSD) for fluids. OSD is an interesting field both mathematically and for industrial applications. Existence, sensitivity, correct discretization are important theoretical issues. Practical implementation issues for airplane designs are critical too. The paper is also a summary of the material covered in our recent book, Applied Optimal Shape Design, Oxford University Press, 2001.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(02)00529-0