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 …

In this paper, we present a data-driven approach to iteratively solve the discrete
heterogeneous Helmholtz equation at high wavenumbers. In our approach, we combine …

In this article, we aim at solving a family of two‐dimensional fractional‐order Helmholtz
equations by using the Laplace‐Adomian Decomposition Method (LADM). The fractional …

A parallelization of a sweeping preconditioner for three-dimensional Helmholtz equations
without large cavities is introduced and benchmarked for several challenging velocity …

We present a solver for the 2D high-frequency Helmholtz equation in heterogeneous
acoustic media, with online parallel complexity that scales optimally as O (NL), where N is …

The shifted Helmholtz operator has received a lot of attention over the past decade as a
preconditioner for the iterative solution of the Helmholtz equation. The idea is that if one …

We present the first fast solver for the high-frequency Helmholtz equation that scales
optimally in parallel for a single right-hand side. The L-sweeps approach achieves this …

We study the convergence of multigrid schemes for the Helmholtz equation, focusing in
particular on the choice of the coarse scale operators. Let G_\rmc denote the number of …

Conventional finite-element methods for solving the acoustic-wave Helmholtz equation in
highly heterogeneous media usually require finely discretized mesh to represent the …

We propose an adaptive multigrid preconditioning technology for solving linear systems
arising from Discontinuous Petrov–Galerkin (DPG) discretizations. Unlike standard multigrid …