Abstract
A generalized diffuse derivative approximation is combined with a point collocation scheme for solid mechanics problems. The derivatives are obtained from a local approximation so their evaluation is computationally very efficient. This meshfree point collocation method has other advantages: it does not require special treatment for essential boundary condition nor the time-consuming integration of a weak form. Neither the connectivity of the mesh nor differentiability of the weight function is necessary. The accuracy of the solutions is exceptional and generally exceeds that of element-free Galerkin method with linear basis. The performance and robustness are demonstrated by several numerical examples, including crack problems.
| Original language | English |
|---|---|
| Pages (from-to) | 22-48 |
| Number of pages | 27 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2004 Sep 7 |
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
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Cite this
Lee, S. H., & Yoon, Y. C. (2004). Meshfree point collocation method for elasticity and crack problems. International Journal for Numerical Methods in Engineering, 61(1), 22-48. https://doi.org/10.1002/nme.1053