The efficient utilization of mixed-precision numerical linear algebra algorithms can offer
attractive acceleration to scientific computing applications. Especially with the hardware …

Sparse solvers provide essential functionality for a wide variety of scientific applications.
Highly parallel sparse solvers are essential for continuing advances in high-fidelity, multi …

Multiple numerical approaches have been developed to simulate porous media fluid flow
and solute transport at the pore scale. These include 1) methods that explicitly model the …

Practical applications of controlled-source electromagnetic (EM) modelling require solutions
for multiple sources at several frequencies, thus leading to a dramatic increase of the …

Summary The Gram–Schmidt process uses orthogonal projection to construct the A= QR
factorization of a matrix. When Q has linearly independent columns, the operator P= I− Q …

Solving systems of algebraic linear equations is among the most frequent problems in
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …

This paper describes a new parallel, scalable and robust finite element based solver for the
first-order Stokes momentum balance equations for ice flow. The solver, known as …

In this study we introduce EMPIRE-PIC, a finite element method particle-in-cell (FEM-PIC)
application developed at Sandia National Laboratories. The code has been developed in …

Abstract Modeling Fluid–Structure Interaction (FSI) in the vascular system is mandatory to
reliably compute mechanical indicators in vessels undergoing large deformations. In order …

We utilize generalized moving least squares (GMLS) to develop meshfree techniques for
discretizing hydrodynamic flow problems on manifolds. We use exterior calculus to formulate …