Discontinuous Galerkin (DG) methods are a class of finite element methods using
discontinuous basis functions, which are usually chosen as piecewise polynomials. Since …

We solve elliptic interface problems using a discontinuous Galerkin (DG) method, for which
discontinuities in the solution and in its normal derivatives are prescribed on an interface …

This paper develops and analyzes two local discontinuous Galerkin (LDG) methods using
piecewise linear polynomials for the Helmholtz equation with the first order absorbing …

We introduce a new mixed finite element for solving the 2-and 3-dimensional wave
equations and equations of incompressible flow. The element, which we refer to as P1D–P2 …

We outline a smoothed aggregation algebraic multigrid method for 1D and 2D scalar
Helmholtz problems with exterior radiation boundary conditions. We consider standard 1D …

We present a discontinuous Petrov--Galerkin (DPG) method for the finite element
discretization of second order elliptic boundary value problems. The novel approach …

Discontinuous Galerkin FEM for Elliptic Problems in Polygonal Domains Page 1 Diss. ETH No.
14973 Discontinuous Galerkin FEM for Elliptic Problems in Polygonal Domains A dissertation …

We describe the computer modeling of relativistic electron guns (0.5 MeV) using pulsed field
emitter arrays. The special challenge lies in the fact, that current distributions vary at a …

We analyze a Discontinuous Galerkin method for a problem with linear advection-reaction
and $ p $-type diffusion, with Sobolev indices $ p\in (1,\infty) $. The discretization of the …

In this report we study several approaches of the discontinuous Galerkin finite element
methods for elliptic problems. An important aspect in these formulations is the use of a lifting …