三维无界区域问题的快速Legendre有理谱配点算法  

Fast Rational Legendre Pseudospectral Method For Problems in Three-Dimensional Unbounded Domains

作　　者：邓化宇[1] 李春丽[1] 

机构地区：[1]上海电力学院数理系,上海200090

出　　处：《上海电力学院学报》2007年第2期192-194,203,共4页Journal of Shanghai University of Electric Power

基　　金：上海高校选拔培养优秀青年教师科研专项基金(Z-2006-20)

摘　　要：利用半直线和全直线上的Legendre有理配置点和相应的微分矩阵,结合矩阵分解方法,建立了一种求解三维无界规则区域问题的快速有理谱配点算法,发展了三维无界区域谱方法的数值求解方法.数值结果显示了方法的有效性和高精度性.Based on Legendre rational collocating points and the corresponding differential matrices of half line and whole line, a fast rational Legendre pseudospectral method is established for problems in three-dimensional unbounded domains using matrix decomposition algorithms, the spectral method is developed for problems in three-dimensional unbounded domains. The numerical results demonstrate the efficiency of the new approach.

关 键 词：有理微分矩阵 HELMHOLTZ方程 三维规则无界区域问题 矩阵分解算法 

分 类 号：O241.82[理学—计算数学]