54 citations · 81 across the 7 of their papers we have counts for
3 papers · 1 filter
Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels
Hillary R. Fairbanks, Delyan Z. Kalchev, Chak Shing Lee +1
We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computatio…
Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo
Hillary R. Fairbanks, Umberto Villa, Panayot S. Vassilevski
In this work we develop a new hierarchical multilevel approach to generate Gaussian random field realizations in an algorithmically scalable manner that is well-suited to incorpora…
Parametric/Stochastic Model Reduction: Low-Rank Representation, Non-Intrusive Bi-Fidelity Approximation, and Convergence Analysis
Jerrad Hampton, Hillary Fairbanks, Akil Narayan +1
For practical model-based demands, such as design space exploration and uncertainty quantification (UQ), a high-fidelity model that produces accurate outputs often has high computa…