Some investigation on the accuracy of fast BE computation using ACA
Because in all the fast algorithms some further approximation has been adopted, whether the valuable characteristics of the BEM ? high accuracy can be preserved, attracts much attention. As an example the 2D elasticity problem using fast BEM with ACA and GMRES has been investigated. The test examples include four groups: 1) A square sheet under uniaxial tension, and discretized into up to 20000 DOF; 2) A square sheet with 5×5 circular holes under biaxial uniform tension; 3) A square sheet with 100 randomly distributed circular holes under uniaxial uniform tension; 4) A square sheet with a fixed edge under tension. It is found that the accuracy and efficiency are related not only to the BEM model, but also to the factors in the fast algorithm, including the tolerance of ACA and GMRES, the leaf-scale and structure of the cluster tree, and the initial solution of the GMRES. On the other hand, the accuracy is problem-related. For the fast multipole BEM the similar problems should also be investigated in future.
fast BEM accuracy ACA GMRES numerical experiments 2D elasticity
Z. H. Yao
Department of Engineering Mechanics, Tsinghua University, Beijing, 100084 China
国际会议
长沙
英文
1-12
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）