In this paper, a review of the low-rank factorization method is presented, with emphasis on
their application to multiscale problems. Low-rank matrix factorization methods exploit the …

A systematic approach is presented to exploit the rich field transformation capabilities of
Electromagnetic (EM) metasurfaces for creating a variety of illusions using the concept of …

This paper reviews a series of fast direct solution methods for electromagnetic scattering
analysis, aiming to significantly alleviate the problems of slow or even non-convergence of …

In this article, a fast direct solver based on strong admissibility skeletonization factorization
(SASF) is proposed for electromagnetic scattering from conducting objects. Different from the …

We describe a method to use numerical simulations concurrently with measurements (near-
field data) to characterize the radiation properties of an antenna (far-field) with a strongly …

We propose a mixed “skeleton” and “equivalence” nested approximation method to
compress the impedance matrix of the method of moments for the wideband multiscale …

A fast nested cross approximation (NCA) algorithm is developed in this paper for solving
large-scale electromagnetic problems. Different from the existing NCA, the proposed method …

In this article, we propose a fast algorithm to generate a rank-minimized-representation for
solving electrically large volume integral equations (VIEs). Unlike existing methods whose …

A fast direct surface integral equation (SIE) solver based on a novel skeletonization
factorization scheme is proposed for electromagnetic scattering from electrically large and …

In this work, we develop efficient algorithms to generate a rank-minimized H 2-matrix to
represent electrically large surface integral operators for a prescribed accuracy. We first …