Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

Strong Stability-Preserving High-Order Time Discretization Methods

Sigal Gottlieb, Chi‐Wang Shu, Eitan Tadmor · SIAM Review · 2001 · 2.5K citations

Numerical Analysis, Numerical Computation, Strong Stability +9

Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

Mark Ainsworth · Journal of Computational Physics · 2004 · 284 citations

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +9

Locally divergence-free discontinuous Galerkin methods for the Maxwell equations

Bernardo Cockburn, Fengyan Li, Chi‐Wang Shu · Journal of Computational Physics · 2003 · 281 citations

Numerical Analysis, Method Of Fundamental Solution, Engineering +6

An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems

Fang Q. Hu, M. Y. Hussaini, Patrick Rasetarinera · Journal of Computational Physics · 1999 · 277 citations

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +8

A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems

Slimane Adjerid, Karen Devine, Joseph E. Flaherty et al. · Computer Methods in Applied Mechanics and Engineering · 2002 · 212 citations

Numerical Analysis, Method Of Fundamental Solution, Engineering +11