Analysis of moving least squares approximation revisited
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摘要
In this article the error estimation of the moving least squares approximation is provided for functions in fractional order Sobolev spaces. The analysis presented in this paper extends the previous estimations and explains some unnoticed mathematical details. An application to Galerkin method for partial differential equations is also supplied.
论文关键词：Moving least squares approximation,Error bounds,Sobolev spaces,Meshless methods
论文评审过程：Received 4 November 2014, Revised 6 January 2015, Available online 15 January 2015.
论文官网地址：https://doi.org/10.1016/j.cam.2015.01.007
