An h-adaptive modified element-free Galerkin method |
| |
| Institution: | 1. Division of Science-Technology and International Cooperation, University of Information and Communication Technology, Thai Nguyen University, Quyet Thang Commune, Thai Nguyen City, Vietnam;2. Department of Mathematics, University of Giessen, Arndtstrasse 2, Giessen 35392, Germany;3. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, Hanoi, Vietnam;1. School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand;2. Faculty of Science, Energy and Environment, King Mongkut’s University of Technology North Bangkok (Rayong Campus), Rayong 21120, Thailand |
| |
| Abstract: | In this work an h-adaptive Modified Element-Free Galerkin (MEFG) method is investigated. The proposed error estimator is based on a recovery by equilibrium of nodal patches where a recovered stress field is obtained by a moving least square approximation. The procedure generates a smooth recovered stress field that is not only more accurate then the approximate solution but also free of spurious oscillations, normally seen in EFG methods at regions with high gradient stresses or discontinuities.The MEFG method combines conventional EFG with extended partition of unity finite element (EPUFE) methods in order to create global shape functions that allow a direct imposition of the essential boundary conditions.The re-meshing of the integration mesh is based on the homogeneous error distribution criterion and upon a given prescribed admissible error. Some examples are presented, considering a plane stress assumption, which shows the performance of the proposed methodology. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
