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On the quadratic finite element approximation to the obstacle problem. (English) Zbl 1049.65062
A quadratic finite element approximation to an obstacle problem with nonhomogeneous data is considered, without the hypothesis that the free boundary has finite length [see {\it F. Brezzi}, {\it W. W. Hager} and {\it P. A. Raviart}, Numer. Math. 28, 431--443, (1977; Zbl 0369.65030) for details]. The error bound $O(h^{{3 \over 2} - \epsilon})$ for any $\epsilon > 0$ is obtained.

MSC:
 65K10 Optimization techniques (numerical methods) 49M15 Newton-type methods in calculus of variations 49J40 Variational methods including variational inequalities
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