296 citations · 1.4k across the 65 of their papers we have counts for
5 papers · 1 filter
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems
David I. Ketcheson, Kyle T. Mandli, Aron Ahmadia +5
Development of scientific software involves tradeoffs between ease of use, generality, and performance. We describe the design of a general hyperbolic PDE solver that can be operat…
Mathematical Analysis of the BIBEE Approximation for Molecular Solvation: Exact Results for Spherical Inclusions
Jaydeep P. Bardhan, Matthew G. Knepley
We analyze the mathematically rigorous BIBEE (boundary-integral based electrostatics estimation) approximation of the mixed-dielectric continuum model of molecular electrostatics,…
Optimal, scalable forward models for computing gravity anomalies
Dave A. May, Matthew G. Knepley
We describe three approaches for computing a gravity signal from a density anomaly. The first approach consists of the classical "summation" technique, whilst the remaining two met…
Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes
Peter R. Brune, Matthew G. Knepley, L. Ridgway Scott
The use of multigrid and related preconditioners with the finite element method is often limited by the difficulty of applying the algorithm effectively to a problem, especially wh…
Finite Element Integration on GPUs
Matthew G. Knepley, Andy R. Terrel
We present a novel finite element integration method for low order elements on GPUs. We achieve more than 100GF for element integration on first order discretizations of both the L…