| bibtype |
J -
Journal Article
|
| ARLID |
0364707 |
| utime |
20240103195553.9 |
| mtime |
20111007235959.9 |
| WOS |
000295399000014 |
| SCOPUS |
80054910481 |
| DOI |
10.1137/110821718 |
| title
(primary) (eng) |
An efficient approach to the numerical solution of rate-independent problems with nonconvex energies |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0258417 |
| ISSN |
1540-3459 |
| title
|
Multiscale Modeling and Simulation |
| volume_id |
9 |
| volume |
3 (2011) |
| page_num |
1275-1300 |
| publisher |
| name |
Society for Industrial and Applied Mathematics |
|
|
| keyword |
numerical solution |
| keyword |
nonconvexity |
| author
(primary) |
| ARLID |
cav_un_auth*0015573 |
| name1 |
Bartels |
| name2 |
S. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0101142 |
| name1 |
Kružík |
| name2 |
Martin |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
IAA100750802 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0241214 |
|
| project |
| project_id |
GAP201/10/0357 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0263489 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
We propose a new approach to the numerical treatment of non(quasi)convex rate-independent evolutionary problems. The main idea is to replace the original microscopic energy density by its polyconvexification. For this problem, first-order optimality conditions are derived and used in finding a discrete solution. The effectiveness of the method is illustrated with some numerical experiments. |
| reportyear |
2012 |
| RIV |
BA |
| mrcbC52 |
4 A 4a 20231122134658.6 |
| permalink |
http://hdl.handle.net/11104/0200115 |
| mrcbT16-e |
MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|PHYSICSMATHEMATICAL |
| mrcbT16-f |
2.527 |
| mrcbT16-g |
0.284 |
| mrcbT16-h |
5.6 |
| mrcbT16-i |
0.00863 |
| mrcbT16-j |
1.686 |
| mrcbT16-k |
1283 |
| mrcbT16-l |
67 |
| mrcbT16-s |
1.418 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
94.377 |
| mrcbT16-C |
87.475 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1 |
| arlyear |
2011 |
| mrcbTft |
\nSoubory v repozitáři: kruzik-0364707.pdf |
| mrcbU14 |
80054910481 SCOPUS |
| mrcbU34 |
000295399000014 WOS |
| mrcbU63 |
cav_un_epca*0258417 Multiscale Modeling and Simulation 1540-3459 1540-3467 Roč. 9 č. 3 2011 1275 1300 Society for Industrial and Applied Mathematics |
|