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Zbl 1049.65062
Wang, Lie-heng
On the quadratic finite element approximation to the obstacle problem.
(English)
[J] Numer. Math. 92, No. 4, 771-778 (2002). ISSN 0029-599X; ISSN 0945-3245/e

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.
[Viorel Arnăutu (Iaşi)]
MSC 2000:
*65K10 Optimization techniques (numerical methods)
49M15 Methods of Newton-Raphson, Galerkin and Ritz types
49J40 Variational methods including variational inequalities

Keywords: finite elemene; obstacle problem; free boundary; error bound

Citations: Zbl 0369.65030

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