Počet záznamů: 1
A posteriori error estimates for two-phase obstacle problem
- 1.0444082 - ÚTIA 2016 RIV US eng J - Článek v odborném periodiku
Repin, S. - Valdman, Jan
A posteriori error estimates for two-phase obstacle problem.
Journal of Mathematical Sciences. Roč. 107, č. 2 (2015), s. 324-335. ISSN 1072-3374
Grant CEP: GA ČR GA13-18652S
Institucionální podpora: RVO:67985556
Klíčová slova: two-phase obstacle problem * a posteriori error estimate * finite element method * variational inequalities
Kód oboru RIV: BA - Obecná matematika
http://library.utia.cas.cz/separaty/2015/MTR/valdman-0444082.pdf
For the two-phase obstacle problem we derive the basic error identity which yields natural measure of the distance to the exact solution. For this measure we derive a computable majorant valid for any function in the admissible (energy) class of functions. It is proved that the majorant vanishes if and only if the function coincides with the minimizer. It is shown that the respective estimate has no gap, so that accuracy of any approximation can be evaluated with any desired accuracy.
Trvalý link: http://hdl.handle.net/11104/0246679
Počet záznamů: 1