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On the quadratic finite element approximation to the obstacle problem

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Summary.

In this paper, we obtain the error bound \(O\left(h^{\frac 32 -\epsilon}\right) \) for any \( \epsilon > 0 \), for the piecewise quadratic finite element approximation to the obstacle problem, without the hypothesis that the free boundary has finite length (see [3]).

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Authors and Affiliations

  1. State Key Laboratory of Scientific / Engineering Computing, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, China; e-mail: wlh@lsec.cc.ac.cn , , , , , , CN

    Lie-heng Wang

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  1. Lie-heng Wang
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Received October 31, 2000 / Revised version received July 23, 2001 / Published online October 17, 2001

The project was supported by the National Natural Science Foundation of China

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Wang, Lh. On the quadratic finite element approximation to the obstacle problem. Numer. Math. 92, 771–778 (2002). https://doi.org/10.1007/s002110100368

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  • DOI: https://doi.org/10.1007/s002110100368

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