边界元方法在计算衬底耦合电阻时 ,需要直接求解稠密矩阵方程 Φ=Z· I,时间复杂度为 O( N3 ) ,N是总的衬底端口单元数 ,使得能计算的电路规模受到很大的限制。根据阻抗矩阵 Z中元素的物理意义 ,采用分段曲线拟合的方法 ,把它很好地表示成距离倒数的多项式形式。在此基础上 ,采用多极点 GMRES算法迅速求解 Φ=Z·I矩阵方程 ,时间复杂度为 O( N) ,而结果和直接求解的结果非常接近。 Boundary Element Method In calculating the substrate coupling resistance, we need to directly solve the dense matrix equation Φ = Z · I, the time complexity is O (N3), N is the total number of substrate ports, so that the circuit scale can be calculated very much Big limitation. According to the physical meaning of the elements in the impedance matrix Z, the method of piecewise curve fitting is used to express it well as the polynomial form of reciprocal distance. On this basis, the multi-pole GMRES algorithm is used to solve the Φ = Z · I matrix equation quickly, the time complexity is O (N), and the result is very close to the direct solution.