Paper Title:
A Simplified Interpolating Moving Least-Squares Method and its Error Estimates
  Abstract

A disadvantage of the MLS approximation is that the shape function of this method does not satisfy the property of Kronecker Delta function. Thus developing an interpolating MLS approximation is very important. In this paper, the interpolating moving least-squares (IMLS) method presented by Lancaster and Salkauskas is discussed in detail and a simplified expression of the approximation function of the IMLS method is given. The simpler expression makes it more convenient to use this method. The error estimate of the approximation function also is discussed. And a numerical example is given to confirm the results.

  Info
Periodical
Chapter
Chapter 2: Simulation and Engineering Optimization
Edited by
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Pages
271-274
DOI
10.4028/www.scientific.net/AMM.101-102.271
Citation
J. F. Wang, "A Simplified Interpolating Moving Least-Squares Method and its Error Estimates", Applied Mechanics and Materials, Vols. 101-102, pp. 271-274, 2012
Online since
September 2011
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