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 …

Integral methods for solving eddy current problems use Biot–Savart law to produce non-
local constitutive relations that lead to fully populated generalized mass matrices, better …

We propose an effective domain decomposition method with a spherical equivalence
surface for the electromagnetic modeling and imaging of moving bodies of revolution (BoRs) …

Method of moments (MoMs) solution of the electric and magnetic current combined-field
integral equation (JMCFIE) for penetrable objects generally resorts to iterative solvers, which …

Surface Enhanced Raman Scattering (SERS) has been widely used in the fields of surface
science, spectral analysis, biosensors, and biomedical detection. A wideband nested …

An efficient finite element method-boundary element method (FEM-BEM) is proposed for
electromagnetic analysis of inhomogeneous objects. The problem domain is discretized and …

A new nested complex source beam (NCSB) method based on the volume-surface integral
equation (VSIE) is proposed for fast electromagnetic scattering analysis of composite …

A new generalized volume-surface integral equation, volume integral equation-combined
field integral equation (VIE-CFIE), is proposed to analyze the electromagnetic (EM) …

In this paper, we will review the further research on our proposed NESA (Nested
Equivalence Source Approximation) as a low-rank method for MoM (method of moments) for …

In this chapter, the low-rank factorization methods for real-life multiscale simulations are
proposed. The low-rank factorization methods are fully algebraic, the rank-deficient nature is …