Jianxin Zhu1, Zheqi Shen1
CMES-Computer Modeling in Engineering & Sciences, Vol.71, No.4, pp. 347-362, 2011, DOI:10.3970/cmes.2011.071.347
Abstract It is known that the perfectly matched layer (PML) is a powerful tool to truncate the unbounded domain. Recently, the PML technique has been introduced in the computation of nonlinear Schrödinger equations (NSE), in which the nonlinearity is separated by some efficient time-splitting methods. A major task in the study of PML is that the original equation is modified by a factor c which varies fast inside the layer. And a large number of grid points are needed to capture the profile of c in the discretization. In this paper, the possibility is discussed for using some nonuniform finite difference… More >
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