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

We present a Calderón preconditioner for the electric field integral equation (EFIE), which
does not require a barycentric refinement of the mesh and which yields a Hermitian, positive …

An improved block-diagonal preconditioner (IBDP) is developed for the fast Fourier
transform (FFT) accelerated the volume integral equation formulation based on equivalent …

Including atom polarizability in molecular dynamics (MD) simulations is important for high-
fidelity simulations. Linear solvers for charge models that are used to dynamically determine …

We present an algorithm to parallelize the inverse fast multipole method (IFMM), which is an
approximate direct solver for dense linear systems. The parallel scheme is based on a …

The inherent difficulties of traditional preconditioning techniques are revealed by
numerically analyzing characteristics of method of moments systems with respect to …

A new hierarchical basis preconditioner for the electric field integral equation (EFIE)
operator is introduced. In contrast to existing hierarchical basis preconditioners, it works on …

The boundary-element method is a popular approach for solving electromagnetic
applications. It can reduce a three-dimensional problem to solving a two-dimensional …

The electric field integral equation (EFIE) and the combined field integral equation (CFIE)
suffer from the dense-discretization and the low-frequency breakdown: if the average …

In this paper we introduce an algebraic recursive multilevel incomplete factorization
preconditioner, based on a distributed Schur complement formulation, for solving general …