Fourier拟谱配点方法对第一类边界积分方程的应用

计算物理 ›› 1990, Vol. 7 ›› Issue (2): 159-167.

Fourier拟谱配点方法对第一类边界积分方程的应用

郑家栋, 陈南

上海市计算技术研究所, 200040

收稿日期:1989-07-13 出版日期:1990-06-25 发布日期:1990-06-25
基金资助:
上海市自然科学基金课题

THE FOURIER PSEUDOSPECTRAL COLLOCATION METHOD APPLIED TO BORNDARY INTEGRAL EQUATIONS OF THE FIRST KIND

Zheng Jeadong, Cheng Nan

Shanghai Institute of Computer Technologh

Received:1989-07-13 Online:1990-06-25 Published:1990-06-25

摘要/Abstract

摘要： 本文用Fourier拟谱配点方法求解有广泛应用的以对数核为主部的第一类边界积分方程,文中通过对积分算子的象征作拟谱插值来建立近似方程,利用快速Fourier变换将计算切换到频率空间进行。本文计算结果表明,用上述拟谱配点方法计算的数值精度较Galerkin配点法更为满意。

关键词: 边界积分方程, 拟微分算子, 象征, 拟谱配点方法, 快速Fourier变换

Abstract: In this parper we present a Fourier pseudospedctral collocation method for boundary imtegral equations of the first kind with a sogarthmec kernel. The diseretr equations are obtained by pseudospectral imterpolation of the symbol assoceated to the integral operator. the cocputations are executed in frequency space by fast fourier travsform. The results show that the numerical accuracy of the pseudospectral collocation cethod are more satisfactry than the Galerkin cillcation ceghod.

Key words: boundary intrhral eqration, pseudo-differential operator, symvol, pseudospectral collocation cethod fast Fourier transform

郑家栋, 陈南. Fourier拟谱配点方法对第一类边界积分方程的应用[J]. 计算物理, 1990, 7(2): 159-167.

Zheng Jeadong, Cheng Nan. THE FOURIER PSEUDOSPECTRAL COLLOCATION METHOD APPLIED TO BORNDARY INTEGRAL EQUATIONS OF THE FIRST KIND[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 7(2): 159-167.

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