Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications

The framework of asymptotic analysis in singularly perturbed geometrical domains presented in the first part of this series of review papers can be employed to produce two-term asymptotic expansions for a class of shape functionals. In Part II (Novotny et al. in J Optim Theory Appl 180(3):1–30, 2019...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 181; no. 1; pp. 1 - 22
Main Authors:	Novotny, Antonio André, Sokołowski, Jan, Żochowski, Antoni
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2019 Springer Nature B.V Springer Verlag
Subjects:	Algorithms Applications of Mathematics Approximation Asymptotic methods Asymptotic series Calculus of Variations and Optimal Control; Optimization Derivatives Domains Engineering Functionals Inverse reconstruction Invited Paper Iterative methods Mathematics Mathematics and Statistics Newton methods Numerical methods Operations Research/Decision Theory Optimization Robustness (mathematics) Shape optimization Theory of Computation Topology optimization 49J20 Applications in inverse problems 35J15 35Q74 49M15 Second-order method 49N45 Topological derivatives
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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