A monotone semismooth Newton type method for a class of complementarity problems

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摘要

In this paper, we propose a modified semismooth Newton method for a class of complementarity problems arising from the discretization of free boundary problems and establish its monotone convergence. We show that under appropriate conditions, the method reduces to semismooth Newton method. We also do some preliminary numerical experiments to show the efficiency of the proposed method.

论文关键词:90C33,65H10,90C53,Nonsmooth equations,Semismooth Newton method,Complementarity problem,Monotone convergence

论文评审过程:Received 18 January 2009, Revised 9 August 2009, Available online 21 August 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.08.012