Introduction to Shape Optimization. Theory, Approximation, and Computation
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Author(s): J. Haslinger and R. A. E. Mäkinen
Publisher: SIAM
ISBN: 0898715369
Format: hardback
273pp
Price: $76.00
Review Date: 14 May 2003
Review: This textbook contains both the mathematical and computational aspects of sizing and shape (SSO) optimization. It is divided into three parts. The first part gives an elementary mathematical introduction to SSO problems. It includes such topics as: the existence of solutions, appropriate discretizations of problems, and convergence problems of discrete models. The second part deals with modern computational aspects of shape optimization and includes results on sensitivity analysis and on gradient, and evolutionary and stochastic type minimization methods. The last part uses the theory to address nontrivial applications in various areas of industry, such as stress minimization for elasto–plastic bodies, multidisciplinary optimization of an aerofoil, and shape optimization of a dividing tube.