The regularization method for an obstacle problem

Hongci Huang; Weimin Han; Jinshi Zhou

doi:10.1007/s002110050086

The regularization method for an obstacle problem

Hongci Huang, Weimin Han^*, Jinshi Zhou

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

23 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	155-166
Number of pages	12
Journal	Numerische Mathematik
Volume	69
Issue number	2
DOIs	https://doi.org/10.1007/s002110050086
Publication status	Published - Dec 1994
Externally published	Yes

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10.1007/s002110050086

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title = "The regularization method for an obstacle problem",

abstract = "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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AU - Zhou, Jinshi

PY - 1994/12

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AB - 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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M3 - Journal article

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VL - 69

SP - 155

EP - 166

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 2

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The regularization method for an obstacle problem

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