語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Scalable algorithms for contact problems
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Scalable algorithms for contact problems/ by Zdenek Dostal ... [et al.] ; with contributions by Tomas Brzobohaty ... [et al.].
其他作者:
Dostal, Zdenek.
出版者:
Cham :Springer International Publishing : : 2023.,
面頁冊數:
xxii, 443 p. :ill., digital ; : 24 cm.;
Contained By:
Springer Nature eBook
標題:
Contact mechanics - Mathematics. -
電子資源:
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. 20..
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:
1166947
Contact mechanics
--Mathematics.
LC Class. No.: TA353
Dewey Class. No.: 620.440151
Scalable algorithms for contact problems
LDR
:04041nam a2200349 a 4500
001
1117824
003
DE-He213
005
20231028161124.0
006
m d
007
cr nn 008maaau
008
240126s2023 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 :
$c
2023.
$b
Springer International Publishing :
$b
Imprint: Springer,
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
1166947
650
1 4
$a
Computational Mathematics and Numerical Analysis.
$3
669338
650
2 4
$a
Mathematical and Computational Engineering Applications.
$3
1387767
650
2 4
$a
Mathematics of Computing.
$3
669457
700
1
$a
Dostal, Zdenek.
$3
898194
700
1
$a
Brzobohaty, Tomas.
$3
1431746
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
830
0
$a
Advances in mechanics and mathematics ;
$v
v. 20.
$3
770421
856
4 0
$u
https://doi.org/10.1007/978-3-031-33580-8
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入