2 citations · 2 across the 3 of their papers we have counts for
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Parallel Element-based Algebraic Multigrid for H(curl) and H(div) Problems Using the ParELAG Library
Delyan Z. Kalchev, Panayot S. Vassilevski, Umberto Villa
This paper presents the use of element-based algebraic multigrid (AMGe) hierarchies, implemented in the ParELAG (Parallel Element Agglomeration Algebraic Multigrid Upscaling and So…
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…
Scalable hierarchical PDE sampler for generating spatially correlated random fields using non-matching meshes
Sarah Osborn, Patrick Zulian, Thomas Benson +3
This work describes a domain embedding technique between two non-matching meshes used for generating realizations of spatially correlated random fields with applications to large-s…
A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields
Sarah Osborn, Panayot Vassilevski, Umberto Villa
We propose an alternative method to generate samples of a spatially correlated random field with applications to large-scale problems for forward propagation of uncertainty. A clas…