Abstract
In this chapter the mathematical background of shape sensitivity analysis is established, in contrast to Chapter 2 where the formal shape differentiability of functions and functionals is presented. Chapters 2 and 3 furnish the complete description of the differentiation technique with respect to the boundary variations of geometric domains.
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© 2013 Springer-Verlag Berlin Heidelberg
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Novotny, A.A., Sokołowski, J. (2013). Material and Shape Derivatives for Boundary Value Problems. In: Topological Derivatives in Shape Optimization. Interaction of Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35245-4_3
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DOI: https://doi.org/10.1007/978-3-642-35245-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35244-7
Online ISBN: 978-3-642-35245-4
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