Adaptive analysis using the node-based smoothed finite element method (NS-FEM)
Nguyen, Thoi, T.
Nguyen, Xuan H.
Tran, Nguyen C.
Nguyen, Xuan H.
Tran, Nguyen C.
The paper presents an adaptive analysis within the framework of the node-based smoothed finite element
method (NS-FEM) using triangular elements. An error indicator based on the recovery strain is used
and shown to be asymptotically exact by an effectivity index and numerical results. A simple refinement
strategy using the newest node bisection is briefly presented. The numerical results of some benchmark
problems show that the present adaptive procedure can accurately catch the appearance of the steep
gradient of stresses and the occurrence of refinement is concentrated properly. The energy error norms of
adaptive models for both NS-FEM and FEM obtain higher convergence rate compared with the uniformly
refined models, but the results of NS-FEM are better and achieve higher convergence rate than those of
FEM. The effectivity index of NS-FEM is also closer and approaches to unity faster than that of FEM. The
upper bound property in the strain energy of NS-FEM is always verified during the adaptive procedure.
Chi tiết xin mời tham khảo tại http://repository.vnu.edu.vn/handle/VNU_123/28838
Title: | Adaptive analysis using the node-based smoothed finite element method (NS-FEM) |
Authors: | Nguyen, Thoi, T. Nguyen, Xuan H. Tran, Nguyen C. |
Keywords: | Finite element method (FEM);Meshfree methods;Node-based smoothed finite element method (NS-FEM);Upper bound;Error indicator;Adaptive analysis |
Issue Date: | 2011 |
Publisher: | WILEY-BLACKWELL, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA |
Citation: | ISIKNOWLEDGE |
Description: | TNS06054 ; INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING Volume: 27 Issue: 2 Pages: 198-218 |
URI: | http://repository.vnu.edu.vn/handle/VNU_123/28838 |
ISSN: | 2040-7939 |
Appears in Collections: | Bài báo của ĐHQGHN trong Web of Science |
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