کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627973 1631816 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error analysis for moving least squares approximation in 2D space
ترجمه فارسی عنوان
تجزیه و تحلیل خطا برای حرکت تقریبی کمترین مربع در فضای دو بعدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, we provide a theoretical analysis of the moving least squares (MLS) approximation, which belongs to the family of meshless methods. First the non matrix form of the MLS shape function in two-dimensional space is obtained by using consistency conditions. The error estimates for MLS approximation in Sobolev space are presented when u(x,y)∈Cm+1(Ω)u(x,y)∈Cm+1(Ω), and u(x,y)∈Wm+1,q(Ω)u(x,y)∈Wm+1,q(Ω), respectively. We establish the error estimates for interpolating element-free Galerkin (IEFG) method when it is used for solving Poisson’s equation. The error bound is related to the radii of the weight functions and the bound of the norm of derivatives of shape functions. Three numerical examples are selected to confirm our analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 238, 1 July 2014, Pages 527–546
نویسندگان
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