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 |
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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