Fast linear solver for pressure computation in layered domains

Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems

Spectral two-level deflation for DG: A preconditioner for CG that does not need symmetry

Despite their geometric flexibility and high accuracy, an important drawback of Discontinuous Galerkin (DG) methods is that the resulting linear systems cannot be solved efficiently by standard iterative solution methods. In search of an effective preconditioning strategy for these systems, we cast a uniform spectral two-level preconditioner...

Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions

Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering is a promising technique not only in improving the order of the numerical solution obtained by a discontinuous Galerkin (DG) method but also in increasing the smoothness of the field and improving the magnitude of the errors. This was initially established as an...

Fast iterative methods for discontinuous Galerkin discretizations for elliptic PDEs

Smoothness-increasing convergence-conserving spline filters applied to streamline visualisation of DG approximations

A local theta scheme for advection problems with strongly varying meshes and velocity profiles