0488106 20240103215808.720180314235959.9 85041703610 10.1007/978-3-319-73441-5_18 8 s. P cav_un_epca*0488105978-3-319-73440-80302-9743175-182ChamSpringer2018LirkovI.MargenovS. Variational problems with obstacles Coincidence set Error identities cav_un_auth*0316845 Repin S. RU cav_un_auth*0292941 Valdman Jan Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2018/MTR/valdman-0488106.pdf cav_un_auth*0331681 GF16-34894L GA ČR CZ cav_un_auth*0347023 GA17-04301S GA ČR We discuss error identities for two classes of free boundary problems generated by obstacles. The identities suggest true forms of the respective error measures which consist of two parts: standard energy norm and a certain nonlinear measure. The latter measure controls (in a weak sense) approximation of free boundaries. Numerical tests confirm sharpness of error identities and show that in different examples one or another part of the error measure may be dominant. cav_un_auth*0359284 International Conference on Large-Scale Scientific Computing - LSSC 2017 /11./ 20170605 Sozopol BG 20170609 BA 10000 10100 10102 2019 PR RVO:67985556 http://hdl.handle.net/11104/0282725 S 0.339 Q2 Q2 2018 85041703610 SCOPUS PUBMED WOS cav_un_epca*0488105 Large-Scale Scientific Computing : 11th International Conference, LSSC 2017 978-3-319-73440-8 0302-9743 1611-3349 175 182 Cham Springer 2018 Lecture Notes in Computer Science 10665 340 Lirkov I. 340 Margenov S.