A meshless weighted least square method based on radial basic functions
Received:February 04, 2009  Revised:March 30, 2010
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DOI:10.7511/jslx201101013
KeyWord:meshless method  radial basic function  MQ  weighted least-square method
     
AuthorInstitution
赵敏 河海大学 工程力学系,南京
陈文 河海大学 工程力学系,南京
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Abstract:
      Radial basic function is a recent meshless interpolation technique. It has a very simply form and no correlation with the space dimensions. The RBF shape functions possess the δ function property and can easily satisfy the essential boundary condition, and their derivatives are much easier to obtain compared to that of the moving least square shape function. The RBF interpolation accuracy is also found very high. Weight Least Square Method (WLSM ) is a new meshless method. It uses the Weighted Least Square Form to discrete the government function, so it needn’t the integration, and have high accuracy, high efficiency and some other advantages. In this study, we develop a new meshless method in the combination of the advantages of these two methods. The present method is tested to elastic static problems. And results show that this method is stable and accurate.