Abstract
In the paper [2] the author prove that, under certain assumptions, the Mesh Independence Principle is satisfied for a class of nonlinear operator equations (on Banach spaces) and their discretizations. In this paper we show that, under few natural assumptions, the same results can be obtained for a class of nonlinear operator equations on Hilbert spaces and a family of preconditioned finite element discretizations of them. We also obtain (using a different proof technique) a generalization of some similar results from the paper [1]. In the last section of the paper we present numerical examples which confirm our theoretical results from the previous ones.
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