Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into developing …

Transcranial ultrasound therapy is increasingly used for the non-invasive treatment of brain
disorders. However, conventional numerical wave solvers are currently too computationally …

We consider the modeling of (polarized) seismic wave propagation on a rectangular domain
via the discretization and solution of the inhomogeneous Helmholtz equation in 3D, by …

Rank structures provide an opportunity to develop new efficient numerical methods for
practical problems, when the off-diagonal blocks of certain dense intermediate matrices …

We propose randomized direct solvers for large sparse linear systems, which integrate
randomization into rank structured multifrontal methods. The use of randomization highly …

In this paper, we address the solution of three‐dimensional heterogeneous Helmholtz
problems discretized with second‐order finite difference methods with application to …

We present a massively parallel structured multifrontal solver for the equations describing
time-harmonic elastic waves in 3-D anisotropic media. We use a multicomponent second …

Hierarchically semiseparable (HSS) matrix techniques are emerging in constructing
superfast direct solvers for both dense and sparse linear systems. Here, we develop a set of …

We present a structured parallel geometry-based multifrontal sparse solver using
hierarchically semiseparable (HSS) representations and exploiting the inherent low-rank …

Modeling of seismic wave propagation plays a key role in almost every aspect of exploration
seismology. Fundamentally, it provides us with a means of understanding the character of …