有限差分结合多波前算法分析波导问题  

The Finite Difference Method with the Multifrontal Algorithm for Waveguide Problems

作　　者：刘淑静[1] 

机构地区：[1]淮阴师范学院物理系,江苏淮安223001

出　　处：《淮阴师范学院学报（自然科学版）》2004年第4期285-288,共4页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：江苏省教育厅自然科学基金资助项目(02KJD140007)

摘　　要：采用有限差分法(FiniteDifferenceMethod)的五点差分离散对Helmholtz方程进行离散,并结合多波前算法(MultifrontalAlgorithm)求解稀疏矩阵方程,用于分析波导问题.数值结果表明,该方法是一种准确而有效的快速算法.In this paper, the finite difference method with the multifrontal algorithm is presented to analyze waveguide problems. The finite difference method is used to discretized the Helmholtz equation applied with five-point difference discretization. The multifrontal algorithm is introduced to solve the sparse matrix equations. The resulting CPU time is greatly reduced. Finally, the numerical example is given to illustrate its accuracy and efficiency.

关 键 词：有限差分法 多波前算法 波导问题 

分 类 号：TN817[电子电信—信息与通信工程] O441[理学—电磁学]