Adaptive analysis using the node-based smoothed finite element method (NS-FEM)

Nguyen, Thoi, T.
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

Nhận xét

Bài đăng phổ biến từ blog này

Dự báo nghiệp vụ ngư trường khai thác cá ngừ đại dương trên vùng biển Việt Nam năm 2015-2016

Liên kết phát triển sản phẩm du lịch Thái Nguyên với một số tỉnh phía bắc Việt Nam: Lạng Sơn, Cao Bằng, Yên Bái

Vinamilk’s Supply Chain and the Small Farmers’ Involvement