A Fast Solver for 3D Meshless Analysis Based on RPIM

DOI
  • HASEGAWA Kyoko
    Centre for Promotion of the COE, Ritsumeikan University
  • NAKATA Susumu
    College of Information Science and Engineering, Ritsumeikan University
  • TANAKA Satoshi
    College of Information Science and Engineering, Ritsumeikan University

Abstract

Mshless method is an effective tool for solving partial differential equations. In this method, CPU-time is wasted mainly in calculating shape functions. The modified radial point interpolation method (RPIM) has been proposed for yielding fast computation. In the radial point interpolation based methods, the shape functions can be evaluated by solving the linear systems and the key of the fast computation is to create the matrices of the linear systems in advance of the shape function evaluations. The purpose of this study is to solve three-dimensional Poisson problems using the modified RPIM, which requires less CPU-time than the RPIM.

Journal

Details 詳細情報について

  • CRID
    1390282680186748288
  • NII Article ID
    130004463656
  • DOI
    10.11345/nctam.56.439
  • ISSN
    13494244
    13480693
  • Text Lang
    en
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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