Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications

The framework of topological sensitivity analysis in singularly perturbed geometrical domains, presented in the first part of this series of review papers, allows the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturba...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 180; no. 3; pp. 683 - 710
Main Authors:	Novotny, Antonio André, Sokołowski, Jan, Żochowski, Antoni
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2019 Springer Nature B.V Springer Verlag
Subjects:	Algorithms Applications of Mathematics Asymptotic series Calculus of Variations and Optimal Control; Optimization Derivatives Domains Engineering Fracture mechanics Functionals Image processing Inverse problems Invited Paper Mathematical models Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Partial differential equations Sensitivity analysis Theory of Computation Topology optimization 49J20 49M05 35J15 35Q74 Applications in topology optimization 49Q10 First-order method Topological derivatives
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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