Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …

Computational electromagnetics (CEM) is applied to model the interaction of
electromagnetic fields with the objects like antenna, waveguides, aircraft and their …

Many important partial differential equation problems in homogeneous media, such as those
of acoustic or electromagnetic wave propagation, can be represented in the form of integral …

Vector and scalar potential formulation is valid from quantum theory to classical
electromagnetics. The rapid development in quantum optics calls for electromagnetic …

The integral equation (IE) method is commonly utilized to model time-harmonic
electromagnetic (EM) problems. One of the greatest challenges in its applications arises in …

We present a discontinuous Galerkin surface integral equation method, herein referred to as
IEDG, for time harmonic electromagnetic wave scattering from nonpenetrable targets. The …

We describe a full-wave solver to model large-scale and complex multiscale structures. It
uses the augmented electric field integral equation (A-EFIE), which includes both the charge …

We propose and study a nonoverlapping and nonconforming domain decomposition
method for the integral-equation-based solution of large, complex electromagnetic (EM) …

Operator preconditioning offers a general recipe for constructing preconditioners for discrete
linear operators that have arisen from a Galerkin approach. The key idea is to employ …

All known integral equation techniques for simulating scattering and radiation from arbitrarily
shaped, perfect electrically conducting objects suffer from one or more of the following …