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A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equations on 3D unstructured meshes [article]

Fande Kong, Yaqi Wang, Derek R. Gaston, Cody J. Permann, Andrew E. Slaughter, Alexander D. Lindsay, Richard C. Martineau
2019 arXiv   pre-print
In this paper, we study a highly parallel multilevel Newton-Krylov-Schwarz method equipped with several novel components, such as subspace-based coarsening, partition-based balancing and hierarchical mesh  ...  The multilevel domain decomposition methods is one of the most popular algorithms for solving the multigroup neutron transport equations, but the construction of coarse spaces is expensive and often not  ...  In this paper, we propose a scalable parallel nonoverlapping Newton-Krylov-Schwarz (NKS) method for the high-resolution simulation of the multigroup neutron transport equations.  ... 
arXiv:1903.03659v1 fatcat:j667z67y4ndh3onhsy5uvfa4ha