| bibtype |
J -
Journal Article
|
| ARLID |
0483574 |
| utime |
20240103215222.0 |
| mtime |
20171220235959.9 |
| SCOPUS |
85041107421 |
| WOS |
000430013600010 |
| DOI |
10.1002/zamm.201700105 |
| title
(primary) (eng) |
Error identities for variational problems with obstacles |
| specification |
| page_count |
24 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257715 |
| ISSN |
0044-2267 |
| title
|
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik |
| volume_id |
98 |
| volume |
4 (2018) |
| page_num |
635-658 |
| publisher |
|
|
| keyword |
variational problems with obstacles |
| keyword |
coincidence set |
| keyword |
convex functionals |
| keyword |
error identities |
| author
(primary) |
| ARLID |
cav_un_auth*0316845 |
| name1 |
Repin |
| name2 |
S. |
| country |
RU |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| 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 |
| ARLID |
cav_un_auth*0331681 |
| project_id |
GF16-34894L |
| agency |
GA ČR |
| country |
CZ |
|
| project |
| ARLID |
cav_un_auth*0347023 |
| project_id |
GA17-04301S |
| agency |
GA ČR |
|
| project |
| ARLID |
cav_un_auth*0342514 |
| project_id |
7AMB16AT015 |
| agency |
GA MŠk |
| country |
CZ |
|
| abstract
(eng) |
The paper is devoted to analysis of a class of nonlinear free boundary problems that are usually solved by variational methods based on primal, dual or primal-dual variational settings. We deduce and investigate special relations (error identities). They show that a certain nonlinear measure of the distance to the exact solution (specific for each problem) is equivalent to the respective duality gap, whose minimization is the keystone of all variational numerical methods. Therefore, the identity actually sets the measure that contains maximal quantitative information on the quality of a numerical solution available through these methods. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2019 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0278827 |
| confidential |
S |
| mrcbC86 |
3+4 Article Mathematics Applied|Mechanics |
| mrcbT16-e |
MATHEMATICSAPPLIED|MECHANICS |
| mrcbT16-j |
0.469 |
| mrcbT16-s |
0.590 |
| mrcbT16-B |
29.762 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2018 |
| mrcbU14 |
85041107421 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000430013600010 WOS |
| mrcbU63 |
cav_un_epca*0257715 ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 0044-2267 1521-4001 Roč. 98 č. 4 2018 635 658 Wiley |
|