CAJ | 학술논문

为了减少预修正快速傅立叶变换算法（ P-FFT）或拟合格林函数快速傅立叶变换算法（ FG-FFT）的稀疏系数矩阵所需的存储空间，通过改进系数方程的求解方法，获得实系数解。并将改进的求解方法与P-FFT和FG-FF相结合用于计算电场积分方程。所提方案将P-FFT/FG-FFT的稀疏系数矩阵的存储量降到自适应积分方法（ AIM）/积分方程快速傅立叶变换算法（ IE-FFT）相同水平的同时，未增加矩阵向量积所需FFT的次数，并保持原有算法的精度水平。此外，在每次迭代的时间耗费方面，新方案与AIM/IE-FFT相当。数值实验证实了新方案的上述优点。
위료감소예수정쾌속부립협변환산법（ P-FFT）혹의합격림함수쾌속부립협변환산법（ FG-FFT）적희소계수구진소수적존저공간，통과개진계수방정적구해방법，획득실계수해。병장개진적구해방법여P-FFT화FG-FF상결합용우계산전장적분방정。소제방안장P-FFT/FG-FFT적희소계수구진적존저량강도자괄응적분방법（ AIM）/적분방정쾌속부립협변환산법（ IE-FFT）상동수평적동시，미증가구진향량적소수FFT적차수，병보지원유산법적정도수평。차외，재매차질대적시간모비방면，신방안여AIM/IE-FFT상당。수치실험증실료신방안적상술우점。
In order to reduce the storage amount for the sparse coefficient matrix in pre-corrected fast Fourier transform P-FFT or fitting the Green function fast Fourier transform FG-FFT the real coefficients are solved by improving the solution method of the coefficient equations. The novel method in both P-FFT and FG-FFT for the electric field integral equation EFIE is employed.With the proposed method the storage amount for the sparse coefficient matrix can be reduced to the same level as that in the adaptive integral method AIM or the integral equation fast Fourier transform IE-FFT .Meanwhile the new algorithms do not increase the number of the FFTs used in a matrix-vector product and maintain almost the same level of accuracy as the original versions.Besides in respect of the time cost in each iteration the new algorithms have also the same level as AIM or IE-FFT .The numerical examples demonstrate the advantages of the proposed method.