求解变系数非齐次亥姆霍茨方程的边界单元法  

The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients

作　　者：王守信[1] 刘喜平[1] 彭天国[1] 赵忠生[1] 赵素华[1] 

机构地区：[1]东北重型机械学院,辽宁大学

出　　处：《应用数学和力学》1996年第1期81-85,共5页Applied Mathematics and Mechanics

摘　　要：本文利用拉普拉斯方程的基本解作为权函数，给出求解交系数非齐次亥姆霍茨方程的迭代格式，进而得到求解这类方程的边界元迭代法．文中给出了算例．最后，把本文给出的边界元迭代法与作者早些时候提出的边界元耦合法进行了比较．Considering the fundamental solution of the Lapleace equation as the weight function.we give the iterative format for solving the nonhomogeneous Helmholtz equation with variable coefficients.Furthermore, the iteratioll method of BEM for solving the equation mentioned above is obtained. The numerical example is given in this paper.Finally,the iteract ion method of BEM mentioned above is compared with the coupled method of BEM that was pesented before then by authors.

关 键 词：亥姆霍茨方程 迭代法 耦合法 边界元 解 

分 类 号：O411.1[理学—理论物理] O241.82[理学—物理]