MSC: 90C33 65H10 90C53Keywords: Nonsmooth equations Semismooth Newton method Complementarity problem Monotone convergence a b s t r a c tIn 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.
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