求解本征值问题的改进边界元法

计算物理 ›› 1992, Vol. 9 ›› Issue (4): 415-416.

求解本征值问题的改进边界元法

宋斌, 傅君眉

西安交通大学, 710049

收稿日期:1991-12-23 出版日期:1992-12-25 发布日期:1992-12-25

MODIFIED BOUNDARY ELEMENT TECHNIQUE FOR EIGENVALUE PROBLEMS

Song Bin, Fu Junmei

Xi'an Jiaotong University, 710049

Received:1991-12-23 Online:1992-12-25 Published:1992-12-25

摘要/Abstract

摘要： 本文提出了一种求解本征值问题的改进边界元技术,它是将Laplace方程对应的基本解用于Helmholtz方程,从而使形成的边界元方程不隐含本征量,这样大大降低了对计算机内存的要求,并提高了求解速度。

关键词: 改进边界元法, 本征值问题

Abstract: A modified boundary element technique is proposed for the investigation of eigenvalue problems. In the approach, the foundamental solution corresponding to Laplace's equation is employed for Helmholtz's equation, thus the matrices in the formed boundary equation implicitly contain no eigen parameter. Therefore, this method only requires a small computer memory, and decreases the computation time.

Key words: modified boundary element method, eigenvalue problems

宋斌, 傅君眉. 求解本征值问题的改进边界元法[J]. 计算物理, 1992, 9(4): 415-416.

Song Bin, Fu Junmei. MODIFIED BOUNDARY ELEMENT TECHNIQUE FOR EIGENVALUE PROBLEMS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(4): 415-416.