Introduction to Shape Optimization, and Computation
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Author(s): J. Haslinger and R. A. E. Mäkinen
Publisher: SIAM
ISBN: 0898715369
Format: hardback
273pp
Price: $78.00
Review Date: 18 April 2005
Review: Shape optimisation design problems have occupied the interest of many applied mathematicians and design engineers. One of their features is their interdisciplinary nature. Three mathematical disciplines are involved: the theory of partial differential equations (PDEs); the approximation of PDEs(usually by finite-elements methods); and the theory of nonlinear mathematical programming. This textbook includes both the mathematical and computational aspects of sizing and shape optimisation. It is divided into three parts: an introduction to sizing and shape optimisation; modern computational aspects of sizing and shape optimisation; and nontrivial applications in various areas of industry (such as contact stress minimization for elasto-plastic bodies).