Modified h-method with directional error estimate for finite element stress analysis
β Scribed by H.S. Oh; J.K. Lim
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 863 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0045-7949
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β¦ Synopsis
An effective directional error estimator, based on Zienkiewicz-Zhu's error estimate, is presented for the h-method of the adaptive finite element analysis. The estimator allows Zienkiewicz-Zhu's error to be effectively separated into directional components in the global coordinate system and can be easily combined with existing h-refinement algorithms. A modified h-method, where a selective refinement algorithm is adopted with the directional error estimator, is thus proposed in order to improve the performance of h-refinement. Through various numerical tests for three kinds of isoparametric elements such as four-node plane, eight-node brick and four-node shell elements, the suggested algorithm shows the remarkable validity and cost-effective characteristics in adaptive mesh refinement.
π SIMILAR VOLUMES
A priori error estimates in the H 1 -and L 2 -norms are established for the finite element method applied to the exterior Helmholtz problem, with modified Dirichlet-to-Neumann (MDtN) boundary condition. The error estimates include the effect of truncation of the MDtN boundary condition as well as th