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The regularization method for an obstacle problem

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Summary

We give a relatively complete analysis for the regularization method, which is usually used in solving non-differentiable minimization problems. The model problem considered in the paper is an obstacle problem. In addition to the usual convergence result and a-priori error estimates, we provide a-posteriori error estimates which are highly desired for practical implementation of the regularization method.

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The work of this author was supported by Research Grants Council of the Hong Kong UPGC

The work of this author was supported by the Old Gold Fellowship of the University of Iowa

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Huang, H., Han, W. & Zhou, J. The regularization method for an obstacle problem. Numer. Math. 69, 155–166 (1994). https://doi.org/10.1007/s002110050086

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  • DOI: https://doi.org/10.1007/s002110050086

Mathematics Subject Classification (1991)

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