Wilkinson defined a sparse matrix as one with enough zeros that it pays to take advantage of
them. 1 This informal yet practical definition captures the essence of the goal of direct …

This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …

MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …

Abstract The Open Porous Media (OPM) initiative is a community effort that encourages
open innovation and reproducible research for simulation of porous media processes. OPM …

This manual describes the installation and execution of FUN3D version 13.7, including
optional dependent packages. FUN3D is a suite of computational fluid dynamics simulation …

This work presents our efforts to implement an MPI/OpenMP hybrid parallelization of the
LIGGGHTS open-source software package for Discrete Element Methods (DEM). We outline …

Scalable parallel computing is essential for processing large scale-free (power-law) graphs.
The distribution of data across processes becomes important on distributed-memory …

We present methods and algorithms that allow the Vlasiator code to run global, three-
dimensional hybrid-Vlasov simulations of Earth's entire magnetosphere. The key ingredients …

PetscSF, the communication component of the Portable, Extensible Toolkit for Scientific
Computation (PETSc), is designed to provide PETSc's communication infrastructure suitable …

The application of peridynamics for engineering analysis requires an efficient and robust
software implementation. Key elements include processing of the discretization, the …