| bibtype |
J -
Journal Article
|
| ARLID |
0532969 |
| utime |
20240103224520.5 |
| mtime |
20201012235959.9 |
| SCOPUS |
85083763340 |
| WOS |
000551241700029 |
| DOI |
10.1137/19M1254490 |
| title
(primary) (eng) |
On Barrier and Modified Barrier Multigrid Methods for Three-Dimensional Topology Optimization |
| specification |
| page_count |
26 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257600 |
| ISSN |
1064-8275 |
| title
|
SIAM Journal on Scientific Computing |
| volume_id |
42 |
| volume |
1 (2020) |
| publisher |
| name |
SIAM Society for Industrial and Applied Mathematics |
|
|
| keyword |
topology optimization |
| keyword |
multigrid methods |
| keyword |
interior point methods |
| keyword |
preconditioners for iterative methods |
| keyword |
augmented Lagrangian methods |
| author
(primary) |
| ARLID |
cav_un_auth*0396916 |
| share |
50 |
| name1 |
Brune |
| name2 |
A. |
| country |
GB |
|
| author
|
| ARLID |
cav_un_auth*0101131 |
| share |
50 |
| name1 |
Kočvara |
| name2 |
Michal |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
One of the challenges encountered in optimization of mechanical structures, in particular in what is known as topology optimization, is the size of the problems, which can easily involve millions of variables. A basic example is the minimum compliance formulation of the variable thickness sheet (VTS) problem, which is equivalent to a convex problem. We propose to solve the VTS problem by the penalty-barrier multiplier (PBM) method, introduced by R. Polyak and later studied by Ben-Tal and Zibulevsky and others. The most computationally expensive part of the algorithm is the solution of linear systems arising from the Newton method used to minimize a generalized augmented Lagrangian. We use a special structure of the Hessian of this Lagrangian to reduce the size of the linear system and to convert it to a form suitable for a standard multigrid method. This converted system is solved approximately by a multigrid |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2021 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0311788 |
| confidential |
S |
| mrcbC86 |
3+4 Article Mathematics Applied |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-i |
4.02375 |
| mrcbT16-j |
1.513 |
| mrcbT16-s |
1.674 |
| mrcbT16-B |
90.85 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1 |
| arlyear |
2020 |
| mrcbU14 |
85083763340 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000551241700029 WOS |
| mrcbU63 |
cav_un_epca*0257600 SIAM Journal on Scientific Computing 1064-8275 1095-7197 Roč. 42 č. 1 2020 A28 A53 SIAM Society for Industrial and Applied Mathematics |
|