Analysis of moving least squares approximation revisited

被引：74
|
作者：
Mirzaei, Davoud [1 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan 81745163, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 282卷
关键词：
Moving least squares approximation; Error bounds; Sobolev spaces; Meshless methods; ERROR ANALYSIS; INTERPOLATION; SPACES;
D O I：
10.1016/j.cam.2015.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：237 / 250
页数：14
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