Verifications of Primal Energy Identities for Variational Problems with Obstacles

0488106 - ÚTIA 2019 RIV CH eng C - Conference Paper (international conference)
Repin, S. - Valdman, Jan
Verifications of Primal Energy Identities for Variational Problems with Obstacles.
Large-Scale Scientific Computing : 11th International Conference, LSSC 2017. Cham: Springer, 2018 - (Lirkov, I.; Margenov, S.), s. 175-182. Lecture Notes in Computer Science, 10665. ISBN 978-3-319-73440-8. ISSN 0302-9743. E-ISSN 1611-3349.
[International Conference on Large-Scale Scientific Computing - LSSC 2017 /11./. Sozopol (BG), 05.06.2017-09.06.2017]
R&D Projects: GA ČR(CZ) GF16-34894L; GA ČR GA17-04301S
Institutional support: RVO:67985556
Keywords : Variational problems with obstacles * Coincidence set * Error identities
OECD category: Applied mathematics
http://library.utia.cas.cz/separaty/2018/MTR/valdman-0488106.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0282725