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Materials - Mechanics | Topological Derivatives in Shape Optimization (Reviews)

Topological Derivatives in Shape Optimization

Novotny, Antonio André, Sokołowski, Jan

2013, XII, 324 p. 68 illus.

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From the reviews:

“The main aim of the presented book is the presentation of topological derivatives for a wide class of elliptic problems with the applications in numerical methods of shape and topology optimization. This volume is primarily addressed to applied mathematicians working in the field of partial differential equations and their applications, especially those concerned with numerical aspects. However, the book will also be useful for applied scientists from engineering and physics.” (Jan Lovíšek, zbMATH, Vol. 1276, 2014)

“The book under review concerns new methods of solving a class of shape optimization problems appearing in continuum mechanics, mainly in solid mechanics, composites and plate-like bodies. … The theoretical results are illustrated by numerical examples. Moreover, carefully selected exercises are provided. This valuable book fills a gap in the literature on topology optimization.” (Tomasz Lewiński, Mathematical Reviews, August, 2013)



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