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An introduction to the topological d...

Novotny, Antonio Andre.

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An introduction to the topological derivative method

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to the topological derivative method/ by Antonio Andre Novotny, Jan Sokolowski.
Author:	Novotny, Antonio Andre.
other author:	Sokolowski, Jan.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	x, 114 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Singular Domain Perturbation -- Regular Domain Perturbation -- Domain Truncation Method -- Topology Design Optimization -- Appendix: Tensor Calculus -- References -- Index.
Contained By:	Springer eBooks
Subject:	Mathematical optimization. -
Online resource:	https://doi.org/10.1007/978-3-030-36915-6
ISBN:	9783030369156

An introduction to the topological derivative method
Novotny, Antonio Andre.

An introduction to the topological derivative method[electronic resource] /by Antonio Andre Novotny, Jan Sokolowski. - Cham :Springer International Publishing :2020. - x, 114 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

Introduction -- Singular Domain Perturbation -- Regular Domain Perturbation -- Domain Truncation Method -- Topology Design Optimization -- Appendix: Tensor Calculus -- References -- Index.

This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.

ISBN: 9783030369156

Standard No.: 10.1007/978-3-030-36915-6doiSubjects--Topical Terms:

517763
Mathematical optimization.

LC Class. No.: QA402.5 / .N686 2020

Dewey Class. No.: 515.64

An introduction to the topological derivative method
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100 1 $a Novotny, Antonio Andre. $3 3383398
245 1 3 $a An introduction to the topological derivative method $h [electronic resource] / $c by Antonio Andre Novotny, Jan Sokolowski.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a x, 114 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a Introduction -- Singular Domain Perturbation -- Regular Domain Perturbation -- Domain Truncation Method -- Topology Design Optimization -- Appendix: Tensor Calculus -- References -- Index.
520 $a This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.
650 0 $a Mathematical optimization. $3 517763
650 1 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Classical Mechanics. $3 3216970
700 1 $a Sokolowski, Jan. $3 3383399
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-030-36915-6
950 $a Mathematics and Statistics (Springer-11649)