Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from
its inception over 30years ago. This paper develops a new computational formulation that …

In this paper, we study the superconvergence property for the discontinuous Galerkin (DG)
and the local discontinuous Galerkin (LDG) methods for solving one-dimensional time …

This paper presents a review of the so-called Local Discontinuous Galerkin (LDG) method
applied to elliptic problems. The method is presented using a mixed formulation similar to …

A new mixed, stabilized, discontinuous Galerkin formulation for Darcy flow is presented. The
formulation combines several attributes not simultaneously satisfied by other methods: It is …

In this paper, we uncover and study a new superconvergence property of a large class of
finite element methods for one-dimensional convection-diffusion problems. This class …

In this paper we present new superconvergence results for the local discontinuous Galerkin
(LDG) method applied to the second-order scalar wave equation in one space dimension …

In this paper, we present a novel cell-centered indirect Arbitrary-Lagrangian-Eulerian (ALE)
discontinuous Galerkin (DG) scheme on moving unstructured triangular meshes with mesh …

We present a new discontinuous Galerkin method for solving the second-order wave
equation using the standard continuous finite element method in space and a discontinuous …

In this paper we investigate the superconvergence properties of the discontinuous Galerkin
method applied to scalar first-order hyperbolic partial differential equations on triangular …

The discontinuous Galerkin (DG) method is known to provide good wave resolution
properties, especially for long time simulation. In this paper, using Fourier analysis, we …