國立虎尾科技大學 |

An Introduction to the Topological Derivative Method

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An Introduction to the Topological Derivative Method/ by Antonio André Novotny, Jan Sokołowski.
Author:	Novotny, Antonio André.
other author:	Sokołowski, Jan.
Description:	X, 114 p. 24 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Calculus of variations. -
Online resource:	https://doi.org/10.1007/978-3-030-36915-6
ISBN:	9783030369156

An Introduction to the Topological Derivative Method
Novotny, Antonio André.

An Introduction to the Topological Derivative Method[electronic resource] /by Antonio André Novotny, Jan Sokołowski. - 1st ed. 2020. - X, 114 p. 24 illus., 6 illus. in color.online resource. - 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:

527927
Calculus of variations.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

An Introduction to the Topological Derivative Method
LDR:02408nam a22004215i 4500 001 1018792
003 DE-He213
005 20200630211334.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030369156 $9 978-3-030-36915-6
024 7 $a 10.1007/978-3-030-36915-6 $2 doi
035 $a 978-3-030-36915-6
050 4 $a QA315-316
050 4 $a QA402.3
072 7 $a PBKQ $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a PBKQ $2 thema
072 7 $a PBU $2 thema
082 0 4 $a 515.64 $2 23
100 1 $a Novotny, Antonio André. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1307248
245 1 3 $a An Introduction to the Topological Derivative Method $h [electronic resource] / $c by Antonio André Novotny, Jan Sokołowski.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a X, 114 p. 24 illus., 6 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Calculus of variations. $3 527927
650 0 $a Partial differential equations. $3 1102982
650 0 $a Mechanics. $3 527684
650 1 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Classical Mechanics. $3 1140387
700 1 $a Sokołowski, Jan. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 883726
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030369149
776 0 8 $i Printed edition: $z 9783030369163
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-030-36915-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)