<em>h</em>-Adaptivity Analysis Based on Multiple Scale Reproducing Kernel Particle Method

ZHANG Zhi-qian; ZHOU Jin-xiong; WANG Xue-ming; ZHANG Yan-fen; ZHANG Ling

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(8): 972-978

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, 2005, 26(8): 972-978.

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h-Adaptivity Analysis Based on Multiple Scale Reproducing Kernel Particle Method

School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, P. R. China

Received Date: 2004-05-06
Rev Recd Date: 2005-03-22
Publish Date: 2005-08-15

Abstract

Abstract

An h-adaptivity analysis scheme based on multiple scale reproducing kernel particle method was proposed, and two nodes refinement strategies were constructed using searching-neighbor-nodes (SNN) and local-Delaunay-triangulation (LDT) techniques, 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.
- meshfree method,
- reproducing kernel particle method,
- multiresolution analysis,
- adaptive analysis

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References(6)

References

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