求解时域电场积分方程的稳定时间步进算法  

Stable solution of time-domain electric field integral equations by marching on-in time scheme

作　　者：李会容[1] 赵延文[2] 张雪峰[3] 武昭妤[3] 

机构地区：[1]攀枝花学院电气信息工程学院,四川攀枝花617000 [2]电子科技大学电子工程学院,四川成都610054 [3]攀枝花学院材料工程学院,四川攀枝花617000

出　　处：《电波科学学报》2009年第6期1129-1136,共8页Chinese Journal of Radio Science

基　　金：国家自然科学基金(60971033);部级基金项目(9140A10011209DZ0218)

摘　　要：利用面积坐标变换、相对坐标变换、积分区域分解和广义Duffy坐标变换将时域电场积分方程中奇异性积分(共面、共边和共单结点的场源三角形单元上)转化成可精确计算的非奇异性积分。在不同时间基函数(导数连续和导数不连续)、不同时间步长情况下对比分析了该方法和现有的常用方法计算奇异性积分的精度。计算实例表明:时域阻抗矩阵的精确计算有效地改善了时间步进算法的后时稳定性。The area coordinates, relative coordinates, domain decomposition and general Duffy coordinate transformations are employed to transform the singular integrals（the supports of the basis and test functions have common facet, common edge or common one vertex）of the time-domain electric field integral equation （TDEFIE） into non-singular integrals, which allows to be accurately evaluated. With different temporal basis function（continuous and non-continuous derivative） and different time step size, the comparisons of the accuracy of the proposed method and traditional numerical integral methods are also presented. The several numerical examples are presented to demonstrate that this method can adaptively calculate the matrix elements to arbitrary accuracy and alleviate the late-time instability of the marching on-in time（MOT）scheme.

关 键 词：时域电场积分方程 奇异性积分 时间步进算法 后时不稳定性 

分 类 号：TN011[电子电信—物理电子学]