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
The Isogeometric Boundary Element Method
~
Beer, Gernot.
The Isogeometric Boundary Element Method
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Isogeometric Boundary Element Method/ by Gernot Beer, Benjamin Marussig, Christian Duenser.
作者:
Beer, Gernot.
其他作者:
Marussig, Benjamin.
面頁冊數:
XIV, 335 p. 235 illus., 189 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Mechanics. -
電子資源:
https://doi.org/10.1007/978-3-030-23339-6
ISBN:
9783030233396
The Isogeometric Boundary Element Method
Beer, Gernot.
The Isogeometric Boundary Element Method
[electronic resource] /by Gernot Beer, Benjamin Marussig, Christian Duenser. - 1st ed. 2020. - XIV, 335 p. 235 illus., 189 illus. in color.online resource. - Lecture Notes in Applied and Computational Mechanics,901613-7736 ;. - Lecture Notes in Applied and Computational Mechanics,75.
Introduction -- The boundary integral equation -- Basis functions, B-splines -- Description of the geometry -- Getting geometry information from CAD programs -- Numerical treatment of integral equations -- Numerical integration -- Steady state potential problems -- Static linear solid mechanics -- Body force effects -- Treatment of inhomogeneities/inclusions -- Material non-linear behaviour -- Applications in geomechanics -- Viscous flow problems -- Time dependent problems -- Summary and outlook -- Appendix A: Fundamental solutions.
This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
ISBN: 9783030233396
Standard No.: 10.1007/978-3-030-23339-6doiSubjects--Topical Terms:
527684
Mechanics.
LC Class. No.: TA349-359
Dewey Class. No.: 531
The Isogeometric Boundary Element Method
LDR
:03596nam a22004095i 4500
001
1018891
003
DE-He213
005
20200630102938.0
007
cr nn 008mamaa
008
210318s2020 gw | s |||| 0|eng d
020
$a
9783030233396
$9
978-3-030-23339-6
024
7
$a
10.1007/978-3-030-23339-6
$2
doi
035
$a
978-3-030-23339-6
050
4
$a
TA349-359
072
7
$a
TGMD
$2
bicssc
072
7
$a
SCI096000
$2
bisacsh
072
7
$a
TGMD
$2
thema
082
0 4
$a
531
$2
23
100
1
$a
Beer, Gernot.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
682868
245
1 4
$a
The Isogeometric Boundary Element Method
$h
[electronic resource] /
$c
by Gernot Beer, Benjamin Marussig, Christian Duenser.
250
$a
1st ed. 2020.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2020.
300
$a
XIV, 335 p. 235 illus., 189 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
Lecture Notes in Applied and Computational Mechanics,
$x
1613-7736 ;
$v
90
505
0
$a
Introduction -- The boundary integral equation -- Basis functions, B-splines -- Description of the geometry -- Getting geometry information from CAD programs -- Numerical treatment of integral equations -- Numerical integration -- Steady state potential problems -- Static linear solid mechanics -- Body force effects -- Treatment of inhomogeneities/inclusions -- Material non-linear behaviour -- Applications in geomechanics -- Viscous flow problems -- Time dependent problems -- Summary and outlook -- Appendix A: Fundamental solutions.
520
$a
This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
650
0
$a
Mechanics.
$3
527684
650
0
$a
Mechanics, Applied.
$3
596630
650
0
$a
Mathematical models.
$3
527886
650
0
$a
Computer simulation.
$3
560190
650
1 4
$a
Solid Mechanics.
$3
1211586
650
2 4
$a
Mathematical Modeling and Industrial Mathematics.
$3
669172
650
2 4
$a
Simulation and Modeling.
$3
669249
700
1
$a
Marussig, Benjamin.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1313989
700
1
$a
Duenser, Christian.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
682870
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030233389
776
0 8
$i
Printed edition:
$z
9783030233402
776
0 8
$i
Printed edition:
$z
9783030233419
830
0
$a
Lecture Notes in Applied and Computational Mechanics,
$x
1613-7736 ;
$v
75
$3
1255102
856
4 0
$u
https://doi.org/10.1007/978-3-030-23339-6
912
$a
ZDB-2-ENG
912
$a
ZDB-2-SXE
950
$a
Engineering (SpringerNature-11647)
950
$a
Engineering (R0) (SpringerNature-43712)
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