66 citations · 76 across the 5 of their papers we have counts for
4 papers · 1 filter
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
José Pablo Lucero Lorca, Natalie Beams, Damien Beecroft +1
This manuscript presents an efficient solver for the linear system that arises from the Hierarchical Poincaré-Steklov (HPS) discretization of three dimensional variable coefficient…
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
Natalie Beams, Adrianna Gillman, Russell J. Hewett
The recently developed Hierarchical Poincaré-Steklov (HPS) method is a high-order discretization technique that comes with a direct solver. Results from previous papers demonstrate…
High-order Finite Element--Integral Equation Coupling on Embedded Meshes
Natalie N. Beams, Andreas Klöckner, Luke N. Olson
This paper presents a high-order method for solving an interface problem for the Poisson equation on embedded meshes through a coupled finite element and integral equation approach…
A Finite Element Based P3M Method for N-body Problems
Natalie N. Beams, Luke N. Olson, Jonathan B. Freund
We introduce a fast mesh-based method for computing N-body interactions that is both scalable and accurate. The method is founded on a particle-particle--particle-mesh P3M approach…