In contrast to the positive definite Helmholtz equation, the deceivingly similar looking
indefinite Helmholtz equation is difficult to solve using classical iterative methods. Simply …

State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

These notes serve as an introduction to a subject of study in computational mathematics
referred to as domain decomposition methods. It concerns divide and conquer methods for …

A fast algorithm is presented for solving electromagnetic scattering from a rectangular open
cavity embedded in an infinite ground plane. The medium inside the cavity is assumed to be …

In various areas of applied mechanics, there are instances where it is necessary or
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …

Preconditioning techniques based on incomplete factorization of matrices are investigated,
to solve highly indefinite complex‐symmetric linear systems. A novel preconditioning is …

Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable
and isotropic elastic solid, which is immersed in a homogeneous compressible air/fluid. By …

In this paper, we are concerned with the error analysis for the finite element solution of the
two-dimensional exterior Neumann boundary value problem in acoustics. In particular, we …

Consider the scattering of a time-harmonic plane wave by a rigid obstacle which is
embedded in an open space filled with a homogeneous and isotropic elastic medium. An …

Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions. The
model is formulated as a boundary value problem for the Helmholtz equation with a …