利用时间步进算法精确稳定求解时域积分方程

 时域阻抗矩阵元素的计算需要分别计算场单元和源单元上的空时积分,由于时间基函数的分域性以及时间基函数(如三角型时间基函数)导数的不连续性,使得采用高斯积分方法计算源单元上空时积分的计算精度较差且误差随着时间步长的减小而增大.本文通过将源单元上空时积分转变成为1D时间卷积分和1D空间解析积分来精确计算时域阻抗矩阵元素,并在此基础上利用时间步进算法求解了时域电场、磁场和混合场积分方程.通过计算实例表明该方法在较大的时间步长取值范围内均能确保时域积分方程时间步进算法求解的精度和后时稳定性.

Accurate and Stable Solution of Time-Domain Integral Equation Using Marching-On-In-Time Method

The evaluation of time-domain impedance matrix elements needs to respectively compute the space-time integrals in the field cell and the source cell.Because of temporal basis function's regionality and its derivative's uncontinuity(such as the triangle temporal basis function),the accuracy of space-time integral in the source cell is worse by method of the gauss integral and the error increases when time interval gets narrow.The paper accurately computes time-domain impedance matrix elements by transforming...