Bibliografie
Journal Article
Verification of functional a posteriori error estimates for obstacle problem in 1D
,
: Kybernetika vol.49, 5 (2013), p. 738-754
: GA13-18652S, GA ČR
: obstacle problem, a posteriori error estimate, variational inequalities
: http://library.utia.cas.cz/separaty/2014/MTR/valdman-0424082.pdf
(eng): 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