27 citations · 35 across the 7 of their papers we have counts for
4 papers · 1 filter
A nonoverlapping spectral additive Schwarz method for interior penalty discontinuous Galerkin discretizations of Anisotropic Elliptic Problems
Maurice S. Fabien, Sijing Liu, Marcus Sarkis
We design and analyze a nonoverlapping additive Schwarz preconditioner for interior penalty discontinuous Galerkin discretizations of anisotropic elliptic problems. The preconditio…
Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits
Maurice Fabien, Johnny Guzman, Michael Neilan +1
We derive low-order, inf-sup stable and divergence-free finite element approximations for the Stokes problem using Worsey-Farin splits in three dimensions and Powell-Sabin splits i…
Hybridization and postprocessing in finite element exterior calculus
Gerard Awanou, Maurice Fabien, Johnny Guzmán +1
We hybridize the methods of finite element exterior calculus for the Hodge-Laplace problem on differential -forms in . In the cases and , we recover…
Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method
M. S. Fabien, M. G. Knepley, R. T. Mills +1
We present a parallel computing strategy for a hybridizable discontinuous Galerkin (HDG) nested geometric multigrid (GMG) solver. Parallel GMG solvers require a combination of coar…