计算力学学报2012，Vol.29Issue(5)：726-733,8.
基于移动相似中心的比例边界有限元方法
Scaled boundary element method with moving scaling center
摘要
Abstract
In the traditional scaled boundary finite element method (SBFEM) the scaling centre usually is placed at a fixed point, the concept of moving scaling center is proposed in this paper to extend traditional SBFEM to the problem within eccentric domain. With scaled boundary coordinate transformation based on the concept of moving scaling center, the governing Laplace equation is semi-discritized to scaled boundary ordinary differential equations by the weighted residual approach. To avoid singularity of coef- ficient Hamiltonian Matrix,Schur decomposition is employed and the general solution of electric poten- tial is obtained with integral constants, determined by boundary conditions. As only inner boundary needs to be discretised and semi-analytical property is covered in ODE,it's more effective to solve problem and achieves higher accuracy of the results. It's shown in several numerical examples that comparison with finite element method with the same discretized level on boundary. It demonstrates that the present method is competent in the problem within eccentric domain and yields excellent results, quick conver- gence rate and less amount of computational time.关键词
移动相似中心/比例边界有限元/偏心环形域/静电场边值问题/Schur分解Key words
moving scaling center/scaled boundary finite element method/eccentric ring-type domain/electrostatic field/schur decomposition分类
信息技术与安全科学引用本文复制引用
张勇,林皋,胡志强,徐喜荣..基于移动相似中心的比例边界有限元方法[J].计算力学学报,2012,29(5):726-733,8.基金项目
中德科学基金 （）
国家自然科学基金 （）
清华大学水沙科学与水利水电工程国家重点实验室开放基金（sklhse-2010-C-03）资助项目. （）
