| bibtype |
J -
Journal Article
|
| ARLID |
0434234 |
| utime |
20240103204934.1 |
| mtime |
20141124235959.9 |
| SCOPUS |
84911059522 |
| WOS |
000344748000027 |
| DOI |
10.1137/130948070 |
| title
(primary) (eng) |
Shape Optimization in Contact Problems with Coulomb Friction and a Solution-Dependent Friction Coefficient |
| specification |
| page_count |
30 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257596 |
| ISSN |
0363-0129 |
| title
|
SIAM Journal on Control and Optimization |
| volume_id |
52 |
| volume |
5 (2014) |
| page_num |
3371-3400 |
| publisher |
| name |
SIAM Society for Industrial and Applied Mathematics |
|
|
| keyword |
shape optimization |
| keyword |
contact problems |
| keyword |
Coulomb friction |
| keyword |
solution-dependent coefficient of friction |
| keyword |
mathematical programs with equilibrium constraints |
| author
(primary) |
| ARLID |
cav_un_auth*0212850 |
| name1 |
Beremlijski |
| name2 |
P. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| 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. |
|
| author
|
| ARLID |
cav_un_auth*0211704 |
| name1 |
Haslinger |
| name2 |
J. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0281511 |
| name1 |
Pathó |
| name2 |
R. |
| country |
CZ |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP201/12/0671 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0289475 |
|
| project |
| project_id |
CZ.1.05/1.1.00/02.0070 |
| agency |
GA MŠK |
| country |
CZ |
| ARLID |
cav_un_auth*0309973 |
|
| project |
| project_id |
CZ.1.07/2.3.00/20.0070 |
| agency |
GA MŠK |
| country |
CZ |
| ARLID |
cav_un_auth*0310061 |
|
| abstract
(eng) |
The present paper deals with shape optimization in discretized two-dimensional (2D) contact problems with Coulomb friction, where the coefficient of friction is assumed to depend on the unknown solution. Discretization of the continuous state problem leads to a system of finite-dimensional implicit variational inequalities, parametrized by the so-called design variable, that determines the shape of the underlying domain. It is shown that if the coefficient of friction is Lipschitz and sufficiently small in the C0,1-norm, then the discrete state problems are uniquely solvable for all admissible values of the design variable (the admissible set is assumed to be compact), and the state variables are Lipschitzian functions of the design variable. This facilitates the numerical solution of the discretized shape optimization problem by the so-called implicit programming approach. |
| RIV |
BA |
| reportyear |
2015 |
| num_of_auth |
4 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0239356 |
| cooperation |
| ARLID |
cav_un_auth*0295947 |
| name |
Vysoká škola báňská - Technická univerzita Ostrava |
| institution |
VŠB |
| country |
CZ |
|
| cooperation |
| ARLID |
cav_un_auth*0296304 |
| name |
Matematicko-fyzikální fakulta KU |
| institution |
MFF KU |
| country |
CZ |
|
| confidential |
S |
| mrcbT16-e |
AUTOMATIONCONTROLSYSTEMS|MATHEMATICSAPPLIED |
| mrcbT16-j |
1.443 |
| mrcbT16-s |
1.615 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
89.021 |
| mrcbT16-C |
69.081 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2014 |
| mrcbU14 |
84911059522 SCOPUS |
| mrcbU34 |
000344748000027 WOS |
| mrcbU63 |
cav_un_epca*0257596 SIAM Journal on Control and Optimization 0363-0129 1095-7138 Roč. 52 č. 5 2014 3371 3400 SIAM Society for Industrial and Applied Mathematics |
|