The complex variable interpolating moving least-squares method
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摘要
In this paper, a new method for deriving the moving least-squares (MLS) approximation is presented first. Considering the unclear physical meaning of the functional in the existing complex variable moving least-squares (CVMLS) approximation, an improved CVMLS approximation is presented by constructing a new functional with an explicit physical meaning. Based on the improved CVMLS approximation, the complex variable interpolating moving least-squares (CVIMLS) method is presented, and the interpolating property of the corresponding shape function of the CVIMLS method is proved.
论文关键词：Moving least-squares approximation,Complex variable moving least-squares approximation,Interpolating moving least-squares method,Shape function,Weight function,Inner product
论文评审过程：Available online 10 September 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.08.013
