66 citations · 76 across the 5 of their papers we have counts for
7 papers
Performance Portable Solid Mechanics via Matrix-Free -Multigrid
Jed Brown, Valeria Barra, Natalie Beams +7
Finite element analysis of solid mechanics is a foundational tool of modern engineering, with low-order finite element methods and assembled sparse matrices representing the indust…
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…
GPU Algorithms for Efficient Exascale Discretizations
Ahmad Abdelfattah, Valeria Barra, Natalie Beams +24
In this paper we describe the research and development activities in the Center for Efficient Exascale Discretization within the US Exascale Computing Project, targeting state-of-t…
Efficient Exascale Discretizations: High-Order Finite Element Methods
Tzanio Kolev, Paul Fischer, Misun Min +27
Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that ex…
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…