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A regularization procedure for a simplified friction problem
Journal article   Open access   Peer reviewed

A regularization procedure for a simplified friction problem

Weimin Han
Mathematical and computer modelling, Vol.15(8), pp.65-70
1991
DOI: 10.1016/0895-7177(91)90082-I
url
https://doi.org/10.1016/0895-7177(91)90082-IView
Published (Version of record) Open Access

Abstract

A simplified friction problem can be described by minimizing a non-differentiable functional. The non-differentiability of the functional causes difficulty when one solves the minimization problem numerically. We consider a regularization procedure to overcome the difficulty. The convergence of the procedure is proved. An a posteriori quantitative error estimate is established by employing a complementary variational principle for the simplified friction problem.

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