An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equations

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. Brooks, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1982 · 5.3K citations

Engineering, Computational Engineering, Aerodynamics +15

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn et al. · SIAM Journal on Numerical Analysis · 2002 · 3.2K citations

Computing, Computational Engineering, Computational Mechanics +11

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 1998 · 2.4K citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +14

An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

Paul Castillo, Bernardo Cockburn, Ilaria Perugia et al. · SIAM Journal on Numerical Analysis · 2000 · 511 citations · Full text

Computing, Computational Engineering, Computer Science +17

The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

J. Peraire, Per‐Olof Persson · SIAM Journal on Scientific Computing · 2008 · 360 citations

Computing, Computational Engineering, Computational Mechanics +10