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- Title
A NODE-BASED ERROR ESTIMATOR FOR THE ELEMENT-FREE GALERKIN (EFG) METHOD.
- Authors
HE, YIQIAN; YANG, HAITIAN; DEEKS, ANDREW J.
- Abstract
Meshless methods are suitable for adaptive analysis, as the nodes are unstructured, and can be added or deleted freely. However, the smooth shape functions may produce spurious oscillation away from the region containing error, which may result in addition of unnecessary nodes. In order to avoid the influence of spurious oscillation on adaptive analysis, a node-based error estimator is presented. The recovered nodal stress value is obtained from a reference solution using a double refinement technique. Numerical tests are presented illustrating the effectiveness of the proposed approach in the terms of the number and distribution of nodes compared with traditional approaches.
- Subjects
ERROR analysis in mathematics; GALERKIN methods; FINITE element method; OSCILLATIONS; NUMERICAL analysis
- Publication
International Journal of Computational Methods, 2014, Vol 11, Issue 4, p-1
- ISSN
0219-8762
- Publication type
Article
- DOI
10.1142/S021987621350059X