A generalized discontinuous Galerkin (GDG) method for Schrödinger equations with nonsmooth solutions

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

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework

Bernardo Cockburn, Chi‐Wang Shu · Mathematics of Computation · 1989 · 1.9K citations · Full text

Computing, Computational Engineering, Mechanical Engineering +17

An Interior Penalty Finite Element Method with Discontinuous Elements

Douglas N. Arnold · SIAM Journal on Numerical Analysis · 1982 · 1.5K citations

Computing, Computational Engineering, Computational Mechanics +13

The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case

Bernardo Cockburn, Suchung Hou, Chi‐Wang Shu · Mathematics of Computation · 1990 · 1.4K citations · Full text

Computing, Computational Engineering, Computational Mechanics +13