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A novel mesh-free poly-cell Galerkin method

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Abstract

A novel numerical method is explored and named as mesh-free poly-cell Galerkin method. An improved moving least-square (MLS) scheme is presented, which can avoid the matrix inversion in standard MLS and can be used to construct shape functions possessing delta Kronecher property. A new type of local support is introduced to ensure the alignment of integral domains with the cells of the background mesh, which will reduce the difficult in integration. An intensive numerical study is conducted to test the accuracy of the present method. It is observed that solutions with good accuracy can be obtained with the present method.

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Authors and Affiliations

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, 610065, Chengdu, China

    C. Zheng, X. H. Tang & J. H. Zhang

  2. State Key Laboratory of Digital Manufacturing and Equipment Technology, Huazhong University of Science and Technology, 430074, Wuhan, China

    S. C. Wu

  3. Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, Singapore, 117576, Singapore

    S. C. Wu

Authors
  1. C. Zheng
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  2. X. H. Tang
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  3. J. H. Zhang
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  4. S. C. Wu
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Correspondence to C. Zheng.

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Zheng, C., Tang, X.H., Zhang, J.H. et al. A novel mesh-free poly-cell Galerkin method. Acta Mech Sin 25, 517–527 (2009). https://doi.org/10.1007/s10409-009-0239-5

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  • DOI: https://doi.org/10.1007/s10409-009-0239-5

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