太赫兹科学与电子信息学报
太赫玆科學與電子信息學報
태혁자과학여전자신식학보
Information and Electronic Engineering
2015年
2期
245-250
,共6页
分块矩阵%预条件%耦合%体面积分方程%迭代解
分塊矩陣%預條件%耦閤%體麵積分方程%迭代解
분괴구진%예조건%우합%체면적분방정%질대해
block matrix%pre-conditioner%coupled%volume-surface integral equation%iterative solution
时域体电场积分方程性态较好，但时域面积分方程性态较差，这就造成体面耦合的时域电场积分方程在迭代求解时经常遇到收敛较慢的问题，无法满足工程需要，并且一般预条件技术获得的加速效果也不甚理想。因此，时域体面积分方程迭代求解时间过长已成为体面积分方程在实际工程应用中的核心问题。针对时域体面电场积分方程矩阵性态差的问题，提出一种引入分块预条件方法(BMP)，可以加快矩阵迭代收敛的速度。将时域体面积分方程的矩阵分解成3块矩阵相乘的形式，而这3块矩阵都是稀疏的，并通过几个体面算例说明该预条件技术的效率。
時域體電場積分方程性態較好，但時域麵積分方程性態較差，這就造成體麵耦閤的時域電場積分方程在迭代求解時經常遇到收斂較慢的問題，無法滿足工程需要，併且一般預條件技術穫得的加速效果也不甚理想。因此，時域體麵積分方程迭代求解時間過長已成為體麵積分方程在實際工程應用中的覈心問題。針對時域體麵電場積分方程矩陣性態差的問題，提齣一種引入分塊預條件方法(BMP)，可以加快矩陣迭代收斂的速度。將時域體麵積分方程的矩陣分解成3塊矩陣相乘的形式，而這3塊矩陣都是稀疏的，併通過幾箇體麵算例說明該預條件技術的效率。
시역체전장적분방정성태교호，단시역면적분방정성태교차，저취조성체면우합적시역전장적분방정재질대구해시경상우도수렴교만적문제，무법만족공정수요，병차일반예조건기술획득적가속효과야불심이상。인차，시역체면적분방정질대구해시간과장이성위체면적분방정재실제공정응용중적핵심문제。침대시역체면전장적분방정구진성태차적문제，제출일충인입분괴예조건방법(BMP)，가이가쾌구진질대수렴적속도。장시역체면적분방정적구진분해성3괴구진상승적형식，이저3괴구진도시희소적，병통과궤개체면산례설명해예조건기술적효솔。
The state of time domain electric field volume integral equation is good, while that of surface integral equation is poor, which results in slow convergence in the iterative solution of time domain electric field integral equation with volume-surface coupling, unable to meet the project requirements. Furthermore, the acceleration effect obtained by general preconditioning techniques is not very ideal. Therefore, a too long iteration time for time domain volume-surface integral equation has become the core issue in practical engineering applications. Aiming at the problem of poor behavior matrix, a new Block Matrix Pre-conditioner(BMP) method which can accelerate the convergence of matrix iteration is proposed. The time domain volume-surface integral equation matrix is decomposed into three pieces in the form of matrix multiplication, and the three matrices are all sparse. The efficiency of the preconditioning technique is illustrated by several volume-surface examples.
