同济大学学报（自然科学版）2011，Vol.39Issue(12)：1773-1778,6.DOI:10.3969/j.issn.0253-374x.2011.12.008
三维快速多极虚边界元配点法
Fast Multipole Virtual Boundary Element Collocation Method for Solving Threedimensional Problems
摘要
Abstract
In the research background of the three dimensional elasticity problem, the idea of the three-dimensional fast multipole virtual boundary element collocation method is proposed,in other words, the generalized minimal residual (GMRES) algorithm and the basic idea of fast multipole method (FMM) are jointly employed to solve the equations related to virtual boundary element collocation method (VBEM). The fundamental solutions of three-dimensional problem of elasticity are derived as the numerical scheme to be suitable for the FMM of virtual boundary element method. After the evolution of numerical format, the amount of the computational elapsed time and the memory volume of the storage problems with the calculation of demand are linearly proportional to the number of degrees of freedom of the problem to be solved. Then the numerical simulation large-scale degrees of freedom question might be achieved by the method. The numerical examples have proved the feasibility, efficiency and calculating precision of the method. Moreover, the idea of the proposed method has the generality and the extension in the engineering applications.关键词
快速多极算法/广义极小残值法/虚边界元法Key words
fast multipole method (FMM)/generalized minimal residual algorithm (GMRES)/virtual boundary element method (VBEM)分类
数理科学引用本文复制引用
许强,司炜,张志佳..三维快速多极虚边界元配点法[J].同济大学学报（自然科学版）,2011,39(12):1773-1778,6.
