Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations

@article{Atluri1999AnalysisOT,
  title={Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations},
  author={S. Atluri and J. Cho and Hyun Kim},
  journal={Computational Mechanics},
  year={1999},
  volume={24},
  pages={334-347}
}
  • S. Atluri, J. Cho, Hyun Kim
  • Published 1999
  • Mathematics
  • Computational Mechanics
  • Abstract In this paper, the conventional moving least squares interpolation scheme is generalized, to incorporate the information concerning the derivative of the field variable into the interpolation scheme. By using this generalized moving least squares interpolation, along with the MLPG (Meshless Local Petrov–Galerkin) paradigm, a new numerical approach is proposed to deal with 4th order problems of thin beams. Through numerical examples, convergence tests are performed; and problems of thin… CONTINUE READING
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