663 citations · 1.1k across the 23 of their papers we have counts for
5 papers · 1 filter
Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms
Jed Brown, Yunhui He, Scott MacLachlan
Local Fourier analysis is a commonly used tool for the analysis of multigrid and other multilevel algorithms, providing both insight into observed convergence rates and predictive…
Local Fourier Analysis of P-Multigrid for High-Order Finite Element Operators
Jeremy L. Thompson, Jed Brown, Yunhui He
Multigrid methods are popular for solving linear systems derived from discretizing PDEs. Local Fourier Analysis (LFA) is a technique for investigating and tuning multigrid methods.…
PETSc/TS: A Modern Scalable ODE/DAE Solver Library
Shrirang Abhyankar, Jed Brown, Emil M. Constantinescu +3
High-quality ordinary differential equation (ODE) solver libraries have a long history, going back to the 1970s. Over the past several years we have implemented, on top of the PETS…
Segmental Refinement: A Multigrid Technique for Data Locality
Mark F. Adams, Jed Brown, Matt Knepley +1
We investigate a domain decomposed multigrid technique, segmental refinement, for solving general nonlinear elliptic boundary value problems. Brandt and Diskin first proposed this…
A low memory, highly concurrent multigrid algorithm
Mark F. Adams
We examine what is an efficient and scalable nonlinear solver, with low work and memory complexity, for many classes of discretized partial differential equations (PDEs) - matrix-f…