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Journal Article

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

Harasim P., Valdman Jan

: 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