5 papers
A Least-Squares Finite Element Reduced Basis Method
Jehanzeb Hameed Chaudhry, Luke N. Olson, Peter Sentz
We present a reduced basis (RB) method for parametrized linear elliptic partial differential equations (PDEs) in a least-squares finite element framework. A rigorous and reliable e…
Node-Aware Improvements to Allreduce
Amanda Bienz, Luke N. Olson, William D. Gropp
The \texttt{MPI\_Allreduce} collective operation is a core kernel of many parallel codebases, particularly for reductions over a single value per process. The commonly used allredu…
FFT, FMM, and Multigrid on the Road to Exascale: performance challenges and opportunities
Huda Ibeid, Luke Olson, William Gropp
FFT, FMM, and multigrid methods are widely used fast and highly scalable solvers for elliptic PDEs. However, emerging large-scale computing systems are introducing challenges in co…
Learning with Analytical Models
Huda Ibeid, Siping Meng, Oliver Dobon +2
To understand and predict the performance of scientific applications, several analytical and machine learning approaches have been proposed, each having its advantages and disadvan…
Improving Performance Models for Irregular Point-to-Point Communication
Amanda Bienz, William D. Gropp, Luke N. Olson
Parallel applications are often unable to take full advantage of emerging parallel architectures due to scaling limitations, which arise due to inter-process communication. Perform…