0424082 20240903170628.320140307235959.9 84889023261 000328665200005 12 s. P cav_un_epca*02971630023-5954495 (2013)738-754Ústav teorie informace a automatizace AV ČR, v. v. i. obstacle problem a posteriori error estimate variational inequalities cav_un_auth*0300281 Harasim P. CZ cav_un_auth*0292941 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Valdman Jan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2014/MTR/valdman-0424082.pdf cav_un_auth*0292653 GA13-18652S GA ČR We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed. BA 2014 2 4 O 4o 20231122140052.6 RVO:67985556 http://hdl.handle.net/11104/0230620 S COMPUTERSCIENCECYBERNETICS 0.577 0.098 9.IV 0.00191 0.341 655 61 0.348 ScienceCitationIndexExpanded Q2 35.159 31.250 Q3 Q3 2013 Soubory v repozitáři: valdman-0424082.pdf 84889023261 SCOPUS 000328665200005 WOS cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 49 č. 5 2013 738 754 Ústav teorie informace a automatizace AV ČR, v. v. i.