Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method

Nodal discontinuous Galerkin methods on graphics processors

(2009) A. Klöckner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the dissipation mechanism of upwind-schemes in the low Mach number regime: A comparison between Roe and HLL

(2009) Felix Rieper   JOURNAL OF COMPUTATIONAL PHYSICS

Shock capturing with PDE-based artificial viscosity for DGFEM: Part I. Formulation

(2009) Garrett E. Barter et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy-based nonlinear viscosity for Fourier approximations of conservation laws

(2008) Jean-Luc Guermond et al.   COMPTES RENDUS MATHEMATIQUE

Finite element methods for time-dependent convection–diffusion–reaction equations with small diffusion

(2008) Volker John et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity

(2008) A. Ern et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations

(2008) Frieder Lörcher et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells

(2008) Zhiliang Xu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Error Estimates for the Runge–Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data

(2008) Bernardo Cockburn et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes

(2008) T. Warburton et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS