Verification of functional a posteriori error estimates for obstacle problem in 1D

0424082 - ÚTIA 2014 RIV CZ eng J - Journal Article
Harasim, P. - Valdman, Jan
Verification of functional a posteriori error estimates for obstacle problem in 1D.
Kybernetika. Roč. 49, č. 5 (2013), s. 738-754. ISSN 0023-5954
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:67985556
Keywords : obstacle problem * a posteriori error estimate * variational inequalities
Subject RIV: BA - General Mathematics
Impact factor: 0.563, year: 2013
http://library.utia.cas.cz/separaty/2014/MTR/valdman-0424082.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0230620