The general method of graph coarsening or graph reduction has been a remarkably useful
and ubiquitous tool in scientific computing and it is now just starting to have a similar impact …

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 …

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 …

A new domain decomposition method is introduced for the heterogeneous 2-D and 3-D
Helmholtz equations. Transmission conditions based on the perfectly matched layer (PML) …

Optimal power flow (OPF) problems are ubiquitous for daily power grid operations and
planning. These optimal control problems are nonlinear, non-convex, and computationally …

The aim of this paper is to provide an introduction to the improved iterative Krylov solution of
boundary integral equations for time-harmonic scattering problems arising in acoustics …

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 …

Deflating the shifted Laplacian with geometric multigrid vectors yields speedup. To verify this
claim, we investigate a simplified variant of Erlangga and Nabben presented in [Erlangga …

We present a line-search algorithm for large-scale continuous optimization. The algorithm is
matrix-free in that it does not require the factorization of derivative matrices. Instead, it uses …