Computation of Bounds for Ezact Quantities of Interest in Elasticity Based on FEM and SFEM

摘要：

We compute lower and upper bounds for the quantities of interest that are the functions of displacements in elasticity by finite element method (FEM) and smoothed finite element method (SFEM). An important feature of FEM based on the minimum potential energy principle is that it bounds the true strain energy of the structure from below, whereas SFEM, which has been found recently, generally provides bounds from above. We use the two methods to compute outputslocal displacements, local reaction and stress intensity factor in the elastic problems, and find that they do give the lower and upper bounds for the true outputs.

关键词： Bounds Quantities of interest FEM SFEM

作者: Zhaocheng Xuan Yaohui Li Hongjie Wang

作者单位: Department of Computer Science, Tianjin University of Technology and Education,Tianjin 300222, China

会议类型: 国际会议

会议名称: The Second International Conference on High Performance Computing and Applications(第二届高性能计算及应用国际会议)

会议地点: 上海

会议语种:英文

页码: 491-496

在线出版日期: 2009-08-10（万方平台首次上网日期，不代表论文的发表时间）