Language:
English
繁體中文
Help
回圖書館首頁
手機版館藏查詢
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Scalable algorithms for contact problems
~
Dostal, Zdenek.
Linked to FindBook
Google Book
Amazon
博客來
Scalable algorithms for contact problems
Record Type:
Electronic resources : Monograph/item
Title/Author:
Scalable algorithms for contact problems/ by Zdenek Dostal ... [et al.] ; with contributions by Tomas Brzobohaty ... [et al.].
other author:
Dostal, Zdenek.
Published:
Cham :Springer International Publishing : : 2023.,
Description:
xxii, 443 p. :ill., digital ;24 cm.
[NT 15003449]:
Chapter. 1 Contact Problems and Their Solution -- Part. I. Basic Concepts -- Chapter. 2. Linear Algebra -- Chapter. 3. Optimization -- Chapter. 4. Analysis -- Part. II. Optimal QP and QCQP Algorithms -- Chapter. 5. Conjugate Gradients -- Chapter. 6. Gradient Projection for Separable Convex Sets -- Chapter. 7. MPGP for Separable QCQP -- Chapter. 8. MPRGP for Bound-Constrained QP -- Chapter. 9. Solvers for Separable and Equality QP/QCQP Problems -- Part. III. Scalable Algorithms for Contact Problems -- Chapter. 10. TFETI for Scalar Problems -- Chapter. 11. Frictionless Contact Problems -- Chapter. 12. Contact Problems with Friction -- Chapter. 13. Transient Contact Problems -- Chapter. 14. TBETI -- Chapter. 15. Hybrid TFETI and TBETI -- Chapter. 16. Mortars -- Chapter. 17. Preconditioning and Scaling -- Part. IV. Other Applications and Parallel Implementation -- Chapter. 18. Contact with Plasticity -- Chapter. 19. Contact Shape Optimization -- Chapter. 20. Massively Parallel Implementation -- Notation and List of Symbols.
Contained By:
Springer Nature eBook
Subject:
Contact mechanics - Mathematics. -
Online resource:
https://doi.org/10.1007/978-3-031-33580-8
ISBN:
9783031335808
Scalable algorithms for contact problems
Scalable algorithms for contact problems
[electronic resource] /by Zdenek Dostal ... [et al.] ; with contributions by Tomas Brzobohaty ... [et al.]. - Second edition. - Cham :Springer International Publishing :2023. - xxii, 443 p. :ill., digital ;24 cm. - Advances in mechanics and mathematics,v. 361876-9896 ;. - Advances in mechanics and mathematics ;v. 36..
Chapter. 1 Contact Problems and Their Solution -- Part. I. Basic Concepts -- Chapter. 2. Linear Algebra -- Chapter. 3. Optimization -- Chapter. 4. Analysis -- Part. II. Optimal QP and QCQP Algorithms -- Chapter. 5. Conjugate Gradients -- Chapter. 6. Gradient Projection for Separable Convex Sets -- Chapter. 7. MPGP for Separable QCQP -- Chapter. 8. MPRGP for Bound-Constrained QP -- Chapter. 9. Solvers for Separable and Equality QP/QCQP Problems -- Part. III. Scalable Algorithms for Contact Problems -- Chapter. 10. TFETI for Scalar Problems -- Chapter. 11. Frictionless Contact Problems -- Chapter. 12. Contact Problems with Friction -- Chapter. 13. Transient Contact Problems -- Chapter. 14. TBETI -- Chapter. 15. Hybrid TFETI and TBETI -- Chapter. 16. Mortars -- Chapter. 17. Preconditioning and Scaling -- Part. IV. Other Applications and Parallel Implementation -- Chapter. 18. Contact with Plasticity -- Chapter. 19. Contact Shape Optimization -- Chapter. 20. Massively Parallel Implementation -- Notation and List of Symbols.
This book presents a comprehensive treatment of recently developed scalable algorithms for solving multibody contact problems of linear elasticity. The brand-new feature of these algorithms is their theoretically supported numerical scalability (i.e., asymptotically linear complexity) and parallel scalability demonstrated in solving problems discretized by billions of degrees of freedom. The theory covers solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca's friction, and transient contact problems. In addition, it also covers BEM discretization, treating jumping coefficients, floating bodies, mortar non-penetration conditions, etc. This second edition includes updated content, including a new chapter on hybrid domain decomposition methods for huge contact problems. Furthermore, new sections describe the latest algorithm improvements, e.g., the fast reconstruction of displacements, the adaptive reorthogonalization of dual constraints, and an updated chapter on parallel implementation. Several chapters are extended to give an independent exposition of classical bounds on the spectrum of mass and dual stiffness matrices, a benchmark for Coulomb orthotropic friction, details of discretization, etc. The exposition is divided into four parts, the first of which reviews auxiliary linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third chapter. The presentation includes continuous formulation, discretization, domain decomposition, optimality results, and numerical experiments. The final part contains extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics will find this book of great value and interest.
ISBN: 9783031335808
Standard No.: 10.1007/978-3-031-33580-8doiSubjects--Topical Terms:
3315474
Contact mechanics
--Mathematics.
LC Class. No.: TA353
Dewey Class. No.: 620.440151
Scalable algorithms for contact problems
LDR
:04041nmm a2200349 a 4500
001
2335596
003
DE-He213
005
20231028161124.0
006
m d
007
cr nn 008maaau
008
240402s2023 sz s 0 eng d
020
$a
9783031335808
$q
(electronic bk.)
020
$a
9783031335792
$q
(paper)
024
7
$a
10.1007/978-3-031-33580-8
$2
doi
035
$a
978-3-031-33580-8
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
TA353
072
7
$a
PBKS
$2
bicssc
072
7
$a
MAT006000
$2
bisacsh
072
7
$a
PBKS
$2
thema
082
0 4
$a
620.440151
$2
23
090
$a
TA353
$b
.S281 2023
245
0 0
$a
Scalable algorithms for contact problems
$h
[electronic resource] /
$c
by Zdenek Dostal ... [et al.] ; with contributions by Tomas Brzobohaty ... [et al.].
250
$a
Second edition.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2023.
300
$a
xxii, 443 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Advances in mechanics and mathematics,
$x
1876-9896 ;
$v
v. 36
505
0
$a
Chapter. 1 Contact Problems and Their Solution -- Part. I. Basic Concepts -- Chapter. 2. Linear Algebra -- Chapter. 3. Optimization -- Chapter. 4. Analysis -- Part. II. Optimal QP and QCQP Algorithms -- Chapter. 5. Conjugate Gradients -- Chapter. 6. Gradient Projection for Separable Convex Sets -- Chapter. 7. MPGP for Separable QCQP -- Chapter. 8. MPRGP for Bound-Constrained QP -- Chapter. 9. Solvers for Separable and Equality QP/QCQP Problems -- Part. III. Scalable Algorithms for Contact Problems -- Chapter. 10. TFETI for Scalar Problems -- Chapter. 11. Frictionless Contact Problems -- Chapter. 12. Contact Problems with Friction -- Chapter. 13. Transient Contact Problems -- Chapter. 14. TBETI -- Chapter. 15. Hybrid TFETI and TBETI -- Chapter. 16. Mortars -- Chapter. 17. Preconditioning and Scaling -- Part. IV. Other Applications and Parallel Implementation -- Chapter. 18. Contact with Plasticity -- Chapter. 19. Contact Shape Optimization -- Chapter. 20. Massively Parallel Implementation -- Notation and List of Symbols.
520
$a
This book presents a comprehensive treatment of recently developed scalable algorithms for solving multibody contact problems of linear elasticity. The brand-new feature of these algorithms is their theoretically supported numerical scalability (i.e., asymptotically linear complexity) and parallel scalability demonstrated in solving problems discretized by billions of degrees of freedom. The theory covers solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca's friction, and transient contact problems. In addition, it also covers BEM discretization, treating jumping coefficients, floating bodies, mortar non-penetration conditions, etc. This second edition includes updated content, including a new chapter on hybrid domain decomposition methods for huge contact problems. Furthermore, new sections describe the latest algorithm improvements, e.g., the fast reconstruction of displacements, the adaptive reorthogonalization of dual constraints, and an updated chapter on parallel implementation. Several chapters are extended to give an independent exposition of classical bounds on the spectrum of mass and dual stiffness matrices, a benchmark for Coulomb orthotropic friction, details of discretization, etc. The exposition is divided into four parts, the first of which reviews auxiliary linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third chapter. The presentation includes continuous formulation, discretization, domain decomposition, optimality results, and numerical experiments. The final part contains extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics will find this book of great value and interest.
650
0
$a
Contact mechanics
$x
Mathematics.
$3
3315474
650
1 4
$a
Computational Mathematics and Numerical Analysis.
$3
891040
650
2 4
$a
Mathematical and Computational Engineering Applications.
$3
3592737
650
2 4
$a
Mathematics of Computing.
$3
891213
700
1
$a
Dostal, Zdenek.
$3
1005912
700
1
$a
Brzobohaty, Tomas.
$3
3668132
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer Nature eBook
830
0
$a
Advances in mechanics and mathematics ;
$v
v. 36.
$3
3668133
856
4 0
$u
https://doi.org/10.1007/978-3-031-33580-8
950
$a
Mathematics and Statistics (SpringerNature-11649)
based on 0 review(s)
Location:
ALL
電子資源
Year:
Volume Number:
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
W9461801
電子資源
11.線上閱覽_V
電子書
EB TA353
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login