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Keywords:
obstacle problem; a posteriori error estimate; functional majorant; finite element method; variational inequalities; Uzawa algorithm
obstacle problem; a posteriori error estimate; functional majorant; finite element method; variational inequalities; Uzawa algorithm
Summary:
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.
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