A method for performing a signal integrity analysis on an integrated circuit (IC) that includes a plurality of scatterers by dividing the scatterers into subgroups using a nested Huygens' equivalence principle algorithm and solving a set of equations realized thereby with a reduced coupling matrix. The method includes decomposing the IC design into a plurality of small non-overlapping circuit sub-domains, wherein each of the sub-domains is formed as a small, enclosed region. Each sub-domain is analyzed independently of the other sub-domains using only electric fields to represent the interactions of each sub-domains with the other sub-domains as equivalent currents on equivalent surfaces of the plurality of sub-domains. Neighboring equivalent sub-domains are grouped together to form larger sub-domains using equivalent currents on equivalent surfaces to represent the interactions of the sub-domains. The steps of analyzing and grouping the sub-domains are repeated until the grouping approaches a box comprising the entire domain, and that the domain interactions between every sub-domain have been analyzed.