$O(N)$ Iterative and $O(NlogN)$ Fast Direct Volume Integral Equation Solvers with a Minimal-Rank ${\mathcal{H}}^2$-Representation for Large-Scale $3$-D Electrodynamic Analysis

Saad Omar, Dan Jiao

Linear complexity iterative and log-linear complexity direct solvers are developed for the volume integral equation (VIE) based general large-scale electrodynamic analysis. The den…