When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

We consider approximating the solution of the Helmholtz exterior Dirichlet problem for a
nontrapping obstacle, with boundary data coming from plane-wave incidence, by the …

This paper proposes a class of polynomial preconditioners for solving non-Hermitian linear
systems of equations. The polynomial is obtained from a least-squares approximation in …

A parallel preconditioner is proposed for general large sparse linear systems that combines
a power series expansion method with low-rank correction techniques. To enhance …

The quantitative reconstruction of subsurface earth properties from the propagation of waves
follows an iterative minimization of a misfit functional. In marine seismic exploration, the …

This paper describes a set of rational filtering algorithms to compute a few eigenvalues (and
associated eigenvectors) of non-Hermitian matrix pencils. Our interest lies in computing …

We consider GMRES applied to discretisations of the high-frequency Helmholtz equation
with strong trapping; recall that in this situation the problem is exponentially ill-conditioned …

For the Helmholtz equation posed in the exterior of a Dirichlet obstacle, we prove that if there
exists a family of quasimodes (as is the case when the exterior of the obstacle has stable …

Time-harmonic solutions to the wave equation can be computed in the frequency or in the
time domain. In the frequency domain, one solves a discretized Helmholtz equation, while in …

This paper discusses parGeMSLR, a C++/MPI software library for the solution of sparse
systems of linear algebraic equations via preconditioned Krylov subspace methods in …