DOI QR코드

DOI QR Code

Adaptive nodal generation with the element-free Galerkin method

  • 발행 : 2000.12.25

초록

In this paper, the adaptive nodal generation procedure based on the estimated local and global error in the element-free Galerkin (EFG) method is proposed. To investigate the possibility of h-type adaptivity of EFG method, a simple nodal refinement scheme is used. By adding new node along the background cell that is used in numerical integration, both of the local and global errors can be controlled adaptively. These errors are estimated by calculating the difference between the values of the projected stresses and original EFG stresses. The ultimate goal of this study is to develop the reliable nodal generator based on the local and global errors that is estimated posteriori. To evaluate the performance of proposed adaptive procedure, the convergence behavior is investigated for several examples.

키워드

참고문헌

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피인용 문헌

  1. Meshless methods: A review and computer implementation aspects vol.79, pp.3, 2008, https://doi.org/10.1016/j.matcom.2008.01.003
  2. A gradient smoothing method (GSM) based on strong form governing equation for adaptive analysis of solid mechanics problems vol.44, pp.15, 2008, https://doi.org/10.1016/j.finel.2008.06.006
  3. HIGH ROCK SLOPE STABILITY ANALYSIS USING THE ENRICHED MESHLESS SHEPARD AND LEAST SQUARES METHOD vol.08, pp.02, 2011, https://doi.org/10.1142/S0219876211002551
  4. Adaptive crack propagation analysis with the element-free Galerkin method vol.56, pp.3, 2003, https://doi.org/10.1002/nme.564