Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Applications of the Topological Deri...
~
Żochowski, Antoni.
Applications of the Topological Derivative Method
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Applications of the Topological Derivative Method/ by Antonio André Novotny, Jan Sokołowski, Antoni Żochowski.
Author:
Novotny, Antonio André.
other author:
Sokołowski, Jan.
Description:
XIV, 212 p. 62 illus., 9 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Control engineering. -
Online resource:
https://doi.org/10.1007/978-3-030-05432-8
ISBN:
9783030054328
Applications of the Topological Derivative Method
Novotny, Antonio André.
Applications of the Topological Derivative Method
[electronic resource] /by Antonio André Novotny, Jan Sokołowski, Antoni Żochowski. - 1st ed. 2019. - XIV, 212 p. 62 illus., 9 illus. in color.online resource. - Studies in Systems, Decision and Control,1882198-4182 ;. - Studies in Systems, Decision and Control,27.
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
Standard No.: 10.1007/978-3-030-05432-8doiSubjects--Topical Terms:
1249728
Control engineering.
LC Class. No.: TJ212-225
Dewey Class. No.: 629.8
Applications of the Topological Derivative Method
LDR
:03124nam a22003975i 4500
001
1012951
003
DE-He213
005
20200701202342.0
007
cr nn 008mamaa
008
210106s2019 gw | s |||| 0|eng d
020
$a
9783030054328
$9
978-3-030-05432-8
024
7
$a
10.1007/978-3-030-05432-8
$2
doi
035
$a
978-3-030-05432-8
050
4
$a
TJ212-225
072
7
$a
TJFM
$2
bicssc
072
7
$a
TEC004000
$2
bisacsh
072
7
$a
TJFM
$2
thema
082
0 4
$a
629.8
$2
23
100
1
$a
Novotny, Antonio André.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1307248
245
1 0
$a
Applications of the Topological Derivative Method
$h
[electronic resource] /
$c
by Antonio André Novotny, Jan Sokołowski, Antoni Żochowski.
250
$a
1st ed. 2019.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2019.
300
$a
XIV, 212 p. 62 illus., 9 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
Studies in Systems, Decision and Control,
$x
2198-4182 ;
$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
Control engineering.
$3
1249728
650
0
$a
Vibration.
$3
595749
650
0
$a
Dynamical systems.
$3
1249739
650
0
$a
Dynamics.
$3
592238
650
0
$a
System theory.
$3
566168
650
1 4
$a
Control and Systems Theory.
$3
1211358
650
2 4
$a
Vibration, Dynamical Systems, Control.
$3
670825
650
2 4
$a
Systems Theory, Control.
$3
669337
700
1
$a
Sokołowski, Jan.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
883726
700
1
$a
Żochowski, Antoni.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1307249
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030054311
776
0 8
$i
Printed edition:
$z
9783030054335
830
0
$a
Studies in Systems, Decision and Control,
$x
2198-4182 ;
$v
27
$3
1254124
856
4 0
$u
https://doi.org/10.1007/978-3-030-05432-8
912
$a
ZDB-2-INR
912
$a
ZDB-2-SXIT
950
$a
Intelligent Technologies and Robotics (SpringerNature-42732)
950
$a
Intelligent Technologies and Robotics (R0) (SpringerNature-43728)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login