663 citations · 1.1k across the 23 of their papers we have counts for
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Learning to Assimilate in Chaotic Dynamical Systems
Michael McCabe, Jed Brown
The accuracy of simulation-based forecasting in chaotic systems is heavily dependent on high-quality estimates of the system state at the time the forecast is initialized. Data ass…
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…
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.…
The PetscSF Scalable Communication Layer
Junchao Zhang, Jed Brown, Satish Balay +7
PetscSF, the communication component of the Portable, Extensible Toolkit for Scientific Computation (PETSc), is designed to provide PETSc's communication infrastructure suitable fo…