Petr Harasim, Jan Valdman
Published 2013-01-24, updated 2013-08-12Version 3
We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simpli?cation 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 ?nite 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.
Verification of functional a posteriori error estimates for obstacle problem in 2D
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