1. A system for solving electromagnetic simulation problems in integrated circuit analysis, the system comprising: one or more computers, implementing an integrated circuit analysis program, for: partitioning an electromagnetic design into a set of sub-structures, the set of sub-structures arranged for quicker processing as smaller structures; and solving a set of equations corresponding to the set of sub-structures while maintaining physically correct wave properties of each sub-structure, including: generating a closed surface around each sub-structure for analysis; defining the sub-structures such that all interactions between different sub-structures are defined with respect to the sub-structure's closed surfaces; representing said all interactions using only electric field calculations and without using any magnetic field calculations; directly mapping an interaction decomposition of the set of sub-structures to a numerical model that defines a set of surface integral equations; and generating a sparse method of moments (MOM) matrix equation from the set of surface integral equations.