4 papers
Proximal Discontinuous Galerkin Methods for Variational Inequalities
Alexandre Ern, Brendan Keith, Dohyun Kim +2
We introduce a family of proximal discontinuous Galerkin methods for variational inequalities, focusing on the obstacle problem as a didactic example. Each member of this family is…
Numerical Analysis of a Coupled 3D-1D Transport Problem
Alyssa Taylor-LaPole, Uzochi Gideon, Beatrice Riviere +1
A finite element solution coupled with an interior penalty discontinuous Galerkin solution are defined for the approximation of the coupled 3D-1D solute transport problem. Under su…
A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem Under Minimal Regularity
Keegan L. A. Kirk, Beatrice Riviere
A numerical method based on the hybridizable discontinuous Galerkin method in space and backward Euler in time is formulated and analyzed for solving the miscible displacement prob…
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…