In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG)
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …

The present work develops hybrid multigrid methods for high-order discontinuous Galerkin
discretizations of elliptic problems, which are, for example, a key ingredient of …

We present a new algebraic multigrid (AMG) algorithm for the solution of linear systems
arising from discontinuous Galerkin (DG) discretizations of heterogeneous elliptic problems …

Algebraic multigrid (AMG) solvers and preconditioners are some of the fastest numerical
methods to solve linear systems, particularly in a parallel environment, scaling to hundreds …

In this paper, we design preconditioners for the matrix-free solution of high-order continuous
and discontinuous Galerkin discretizations of elliptic problems based on finite element …

In this paper we analyze the convergence properties of two-level and W-cycle multigrid
solvers for the numerical solution of the linear system of equations arising from hp-version …

We present W-cycle h-, p-, and hp-multigrid algorithms for the solution of the linear system of
equations arising from a wide class of hp-version discontinuous Galerkin discretizations of …

A standard approach to solving the SN transport equations is to use source iteration with
diffusion synthetic acceleration (DSA). Although this approach is widely used and effective …

We consider a second-order elliptic PDE discretized by the hybrid high-order method, for
which globally coupled unknowns are located at faces. To efficiently solve the resulting …

In this paper, we propose and analyze an efficient preconditioning method for the elliptic
problem based on the reconstructed discontinuous approximation method. This method is …