4.7 Article

Analysis of moving least squares approximation revisited

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 282, Issue -, Pages 237-250

Publisher

ELSEVIER
DOI: 10.1016/j.cam.2015.01.007

Keywords

Moving least squares approximation; Error bounds; Sobolev spaces; Meshless methods

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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. (C) 2015 Elsevier B.V. All rights reserved.

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