There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …

We give an overview of recent developments concerning the use of adjoint methods in two
areas: the a posteriori error analysis of finite element methods for the numerical solution of …

In this paper a recently developed approach for the design of adaptive discontinuous
Galerkin finite element methods is applied to physically relevant problems arising in inviscid …

Abstract We present the Interior Penalty discontinuous Galerkin method for the compressible
Navier–Stokes equations. Shock‐capturing is used to reduce over‐shoots at discontinuities …

Status of ADSW 2005 Page 1 Status of ADSW 2005 H. Hartmann and BK Ahring The
Environmental Microbiology/Biotechnology Research Group, BioCentrum-DTU, Building 227 …

This work presents a review of high-order hybridisable discontinuous Galerkin (HDG)
methods in the context of compressible flows. Moreover, an original unified framework for …

The paper is concerned with the numerical solution of an inviscid compressible flow with the
aid of the discontinuous Galerkin finite element method. Since the explicit time discretization …

This paper presents an overview of the functionalities and applications of Exasim, an open-
source code for generating high-order discontinuous Galerkin codes to numerically solve …