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The basis of meshless domain discretization: the meshless local Petrov–Galerkin (MLPG) method

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Abstract

The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.

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Authors and Affiliations

  1. Center for Aerospace Research & Education, University of California at Irvine, Irvine, CA, 92697-3975, USA

    Satya N. Atluri & Shengping Shen

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  1. Satya N. Atluri
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  2. Shengping Shen
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Correspondence to Satya N. Atluri.

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Communicated by Z. Wu and B.Y.C. Hon

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Atluri, S.N., Shen, S. The basis of meshless domain discretization: the meshless local Petrov–Galerkin (MLPG) method. Adv Comput Math 23, 73–93 (2005). https://doi.org/10.1007/s10444-004-1813-9

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  • DOI: https://doi.org/10.1007/s10444-004-1813-9

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