Verification of Functional A Posteriori Error Estimates for an Obstacle Problem

Harasim, P.; Valdman, J.
February 2015
AIP Conference Proceedings;2015, Vol. 1648 Issue 1, p1
Conference Proceeding
We verify functional a posteriori error estimate proposed by S. Repin for an obstacle problem. A new benchmark with known analytical solution in 2D is constructed. Numerical approximation is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the approximation is measured in the energy norm and bounded from above by a functional majorant. Numerical tests provide sharp quality of the studied error estimate.


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