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h-ADAPTIVITY ANALYSIS BASED ON MULTIPLE SCALE REPRODUCING KERNEL PARTICLE METHOD
作者姓名:ZHANG  Zhi-qian
作者单位:School of Civil Engineering and Mechanics,Xi'an Jiaotong University,School of Civil Engineering and Mechanics,Xi'an Jiaotong University,School of Civil Engineering and Mechanics,Xi'an Jiaotong University,School of Civil Engineering and Mechanics,Xi'an Jiaotong University,School of Civil Engineering and Mechanics,Xi'an Jiaotong University Xi'an 710049,P.R.China,Xi'an 710049,P.R.China,Xi'an 710049,P.R.China,Xi'an 710049,P.R.China,Xi'an 710049,P.R.China
基金项目:Project supported by the National Natural Science Foundation of China (No. 10202018)
摘    要:IntroductionAs one of the meshfree methods, multiple scale reproducing kernel particle method(RKPM)1,2]bears, besides the common features of all meshfree methods, a uniqueinherent feature of multiresolution analysis by which the structural response can b…

关 键 词:自由网格  粒子核再造法  适应分析  弹性力学
文章编号:0253-4827(2005)08-1064-08
收稿时间:2004-05-06
修稿时间:2005-03-22

h-adaptivity analysis based on multiple scale reproducing kernel particle method
Zhang Zhi-qian,Zhou Jin-xiong,Wang Xue-ming,Zhang Yan-fen,Zhang Ling.h-ADAPTIVITY ANALYSIS BASED ON MULTIPLE SCALE REPRODUCING KERNEL PARTICLE METHOD[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):1064-1071.
Authors:Zhang Zhi-qian  Zhou Jin-xiong  Wang Xue-ming  Zhang Yan-fen  Zhang Ling
Institution:School of Civil Engineering and Mechanics, Xi' an Jiaotong University, Xi' an 710049, P. R. China
Abstract:An h-adaptivity analysis scheme based on multiple scale reproducing kernel particle method was proposed, and two node refinement strategies were constructed using searching-neighbor-nodes(SNN) and local-Delaunay-triangulation(LDT) tech-niques, which were suitable and effective for h-adaptivity analysis on 2-D problems with the regular or irregular distribution of the nodes. The results of multiresolution and h-adaptivity analyses on 2-D linear elastostatics and bending plate problems demonstrate that the improper high-gradient indicator will reduce the convergence property of the h-adaptivity analysis, and that the efficiency of the LDT node refinement strategy is better than SNN, and that the presented h-adaptivity analysis scheme is provided with the validity, stability and good convergence property.
Keywords:meshfree method  reproducing kernel particle method  multiresolution analysis  adaptive analysis
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