This book is devoted to the study of the acoustic wave equation and of the Maxwell system,
the two most common wave equations encountered in physics or in engineering. The main …

Given a two dimensional oriented surface equipped with a simplicial mesh, the standard
lowest order finite element spaces provide a complex $ X^\bullet $ centered on Raviart …

In May 2012, the International Centre for Mathematics Sciences (ICMS) in Edinburgh hosted
the workshop Boundary Value Problems for Linear Elliptic and Integrable PDEs: Theory and …

Methods based on boundary integral equations are widely used in die numerical simulation
of electromagnetic scattering in the frequency domain. This article examines a particular …

We describe a preconditioning technique for the Galerkin approximation of the electric field
integral equation (EFIE), which arises in the scattering theory for harmonic electromagnetic …

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 …

Our times can be characterized by, among many other attributes, the seemingly increasing
speed of everything. Within science, it has led to the publication explosion, which reflects the …

This paper addresses the derivation of new second-kind Fredholm combined field integral
equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a …

A non-overlapping domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …

This paper addresses the first step of the derivation of well-conditioned integral formulations
for the iterative solution of exterior acoustic boundary-value problems. These new …