國立高雄大學圖資館 |

Language: English

Back

Applications of the topological deri...

Novotny, Antonio Andre.

Applications of the topological derivative method

Record Type:	Electronic resources : Monograph/item
Title/Author:	Applications of the topological derivative methodby Antonio Andre Novotny, Jan Sokolowski, Antoni Zochowski.
Author:	Novotny, Antonio Andre.
other author:	Sokolowski, Jan.
Published:	Cham :Springer International Publishing :2019.
Description:	xiv, 212 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Topological dynamics.
Online resource:	https://doi.org/10.1007/978-3-030-05432-8
ISBN:	9783030054328$q(electronic bk.)

Applications of the topological derivative method
Novotny, Antonio Andre.

Applications of the topological derivative method[electronic resource] /by Antonio Andre Novotny, Jan Sokolowski, Antoni Zochowski. - Cham :Springer International Publishing :2019. - xiv, 212 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.1882198-4182 ;. - Studies in systems, decision and control ;v.3..

Introduction -- Theory in Singularly Perturbed Geometrical Domains -- Steklov-Poincare' Operator for Helmholtz Equation -- Topological Derivatives for Optimal Control Problems -- Optimality Conditions with Topological Derivatives -- A Gradient-Type Method and Applications -- Synthesis of Compliant Thermomechanical Actuators -- Synthesis of Compliant Piezomechanical Actuators -- Asymptotic Analysis of Variational Inequalities -- A Newton-Type Method and Applications -- The Electrical Impedance Tomography Problem.

The book presents new results and applications of the topological derivative method in control theory, topology optimization and inverse problems. It also introduces the theory in singularly perturbed geometrical domains using selected examples. Recognized as a robust numerical technique in engineering applications, such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena, the topological derivative method is based on the asymptotic approximations of solutions to elliptic boundary value problems combined with mathematical programming tools. The book presents the first order topology design algorithm and its applications in topology optimization, and introduces the second order Newton-type reconstruction algorithm based on higher order topological derivatives for solving inverse reconstruction problems. It is intended for researchers and students in applied mathematics and computational mechanics interested in the mathematical aspects of the topological derivative method as well as its applications in computational mechanics.

ISBN: 9783030054328$q(electronic bk.)

Standard No.: 10.1007/978-3-030-05432-8doiSubjects--Topical Terms:

468099
Topological dynamics.

LC Class. No.: QA611.5 / .N686 2019

Dewey Class. No.: 512.55

Applications of the topological derivative method
LDR:02770nmm a2200337 a 4500 001 555714
003 DE-He213
005 20190705151821.0
006 m d
007 cr nn 008maaau
008 191121s2019 gw s 0 eng d
020 $a 9783030054328$q(electronic bk.)
020 $a 9783030054311$q(paper)
024 7 $a 10.1007/978-3-030-05432-8 $2 doi
035 $a 978-3-030-05432-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA611.5 $b .N686 2019
072 7 $a TJFM $2 bicssc
072 7 $a TEC004000 $2 bisacsh
072 7 $a TJFM $2 thema
082 0 4 $a 512.55 $2 23
090 $a QA611.5 $b .N945 2019
100 1 $a Novotny, Antonio Andre. $3 837918
245 1 0 $a Applications of the topological derivative method $h [electronic resource] / $c by Antonio Andre Novotny, Jan Sokolowski, Antoni Zochowski.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiv, 212 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4182 ; $v v.188
505 0 $a Introduction -- Theory in Singularly Perturbed Geometrical Domains -- Steklov-Poincare' Operator for Helmholtz Equation -- Topological Derivatives for Optimal Control Problems -- Optimality Conditions with Topological Derivatives -- A Gradient-Type Method and Applications -- Synthesis of Compliant Thermomechanical Actuators -- Synthesis of Compliant Piezomechanical Actuators -- Asymptotic Analysis of Variational Inequalities -- A Newton-Type Method and Applications -- The Electrical Impedance Tomography Problem.
520 $a The book presents new results and applications of the topological derivative method in control theory, topology optimization and inverse problems. It also introduces the theory in singularly perturbed geometrical domains using selected examples. Recognized as a robust numerical technique in engineering applications, such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena, the topological derivative method is based on the asymptotic approximations of solutions to elliptic boundary value problems combined with mathematical programming tools. The book presents the first order topology design algorithm and its applications in topology optimization, and introduces the second order Newton-type reconstruction algorithm based on higher order topological derivatives for solving inverse reconstruction problems. It is intended for researchers and students in applied mathematics and computational mechanics interested in the mathematical aspects of the topological derivative method as well as its applications in computational mechanics.
650 0 $a Topological dynamics. $3 468099
650 1 4 $a Control and Systems Theory. $3 825946
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
650 2 4 $a Systems Theory, Control. $3 274654
700 1 $a Sokolowski, Jan. $3 837919
700 1 $a Zochowski, Antoni. $3 837920
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Studies in systems, decision and control ; $v v.3. $3 678532
856 4 0 $u https://doi.org/10.1007/978-3-030-05432-8
950 $a Intelligent Technologies and Robotics (Springer-42732)