Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem

Jennifer Ryan, Chi-Wang Shu and Harold Atkins
SIAM Journal on Scientific Computing 26 (3) 821 (2005)
https://doi.org/10.1137/S1064827503423998

The local discontinuous Galerkin method for linearized incompressible fluid flow: a review

Bernardo Cockburn, Guido Kanschat and Dominik Schötzau
Computers & Fluids 34 (4-5) 491 (2005)
https://doi.org/10.1016/j.compfluid.2003.08.005

Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method II: Two dimensional case

Jianxian Qiu and Chi-Wang Shu
Computers & Fluids 34 (6) 642 (2005)
https://doi.org/10.1016/j.compfluid.2004.05.005

A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

Jianxian Qiu and Chi-Wang Shu
SIAM Journal on Scientific Computing 27 (3) 995 (2005)
https://doi.org/10.1137/04061372X

The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems

Shanqin Chen, Weinan E and Chi-Wang Shu
Multiscale Modeling & Simulation 3 (4) 871 (2005)
https://doi.org/10.1137/040612622

Generalization of Runge‐Kutta discontinuous Galerkin method to LWR traffic flow model with inhomogeneous road conditions

Peng Zhang and Ru‐Xun Liu
Numerical Methods for Partial Differential Equations 21 (1) 80 (2005)
https://doi.org/10.1002/num.20023

The discontinuous Galerkin method with Lax–Wendroff type time discretizations

Jianxian Qiu, Michael Dumbser and Chi-Wang Shu
Computer Methods in Applied Mechanics and Engineering 194 (42-44) 4528 (2005)
https://doi.org/10.1016/j.cma.2004.11.007

Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method: one-dimensional case

Jianxian Qiu and Chi-Wang Shu
Journal of Computational Physics 193 (1) 115 (2004)
https://doi.org/10.1016/j.jcp.2003.07.026

Computational Methods in Water Resources: Volume 2, Proceedings of the XVth International Conference on Computational Methods in Water Resources

J. Atkinson, C. Szpilka and R. Kolar
Developments in Water Science, Computational Methods in Water Resources: Volume 2, Proceedings of the XVth International Conference on Computational Methods in Water Resources 55 1703 (2004)
https://doi.org/10.1016/S0167-5648(04)80178-3

A spacetime discontinuous Galerkin method for scalar conservation laws

Jayandran Palaniappan, Robert B. Haber and Robert L. Jerrard
Computer Methods in Applied Mechanics and Engineering 193 (33-35) 3607 (2004)
https://doi.org/10.1016/j.cma.2004.01.028

Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

Qiang Zhang and Chi-Wang Shu
SIAM Journal on Numerical Analysis 42 (2) 641 (2004)
https://doi.org/10.1137/S0036142902404182

Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations

Clint Dawson and Jennifer Proft
Computer Methods in Applied Mechanics and Engineering 193 (3-5) 289 (2004)
https://doi.org/10.1016/j.cma.2003.09.011

AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS

MENGPING ZHANG and CHI-WANG SHU
Mathematical Models and Methods in Applied Sciences 13 (03) 395 (2003)
https://doi.org/10.1142/S0218202503002568

Discontinuous Galerkin methods

B. Cockburn
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 83 (11) 731 (2003)
https://doi.org/10.1002/zamm.200310088

Discontinuous/continuous Galerkin methods for coupling the primitive and wave continuity equations of shallow water

Clint Dawson and Jennifer Proft
Computer Methods in Applied Mechanics and Engineering 192 (47-48) 5123 (2003)
https://doi.org/10.1016/j.cma.2003.07.004

Local Discontinuous Galerkin Methods for the Stokes System

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau and Christoph Schwab
SIAM Journal on Numerical Analysis 40 (1) 319 (2002)
https://doi.org/10.1137/S0036142900380121

Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems

Paul Houston, Christoph Schwab and Endre Süli
SIAM Journal on Numerical Analysis 39 (6) 2133 (2002)
https://doi.org/10.1137/S0036142900374111

Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations

Clint Dawson and Jennifer Proft
Computer Methods in Applied Mechanics and Engineering 191 (41-42) 4721 (2002)
https://doi.org/10.1016/S0045-7825(02)00402-4

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn and L. Donatella Marini
SIAM Journal on Numerical Analysis 39 (5) 1749 (2002)
https://doi.org/10.1137/S0036142901384162

A Problem-Independent Limiter for High-Order Runge–Kutta Discontinuous Galerkin Methods

A. Burbeau, P. Sagaut and Ch.-H. Bruneau
Journal of Computational Physics 169 (1) 111 (2001)
https://doi.org/10.1006/jcph.2001.6718

Discontinuous Galerkin Methods

Bernardo Cockburn, George E. Karniadakis and Chi-Wang Shu
Lecture Notes in Computational Science and Engineering, Discontinuous Galerkin Methods 11 3 (2000)
https://doi.org/10.1007/978-3-642-59721-3_1

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

Paul Castillo, Bernardo Cockburn, Ilaria Perugia and Dominik Schötzau
SIAM Journal on Numerical Analysis 38 (5) 1676 (2000)
https://doi.org/10.1137/S0036142900371003

A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows

Jian-Guo Liu and Chi-Wang Shu
Journal of Computational Physics 160 (2) 577 (2000)
https://doi.org/10.1006/jcph.2000.6475

An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems

Fang Q. Hu, M.Y. Hussaini and Patrick Rasetarinera
Journal of Computational Physics 151 (2) 921 (1999)
https://doi.org/10.1006/jcph.1999.6227

A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations

Changqing Hu and Chi-Wang Shu
SIAM Journal on Scientific Computing 21 (2) 666 (1999)
https://doi.org/10.1137/S1064827598337282

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

Bernardo Cockburn and Chi-Wang Shu
SIAM Journal on Numerical Analysis 35 (6) 2440 (1998)
https://doi.org/10.1137/S0036142997316712

The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V

Bernardo Cockburn and Chi-Wang Shu
Journal of Computational Physics 141 (2) 199 (1998)
https://doi.org/10.1006/jcph.1998.5892

Finite Element Analysis of the One-Dimensional Full Drift-Diffusion Semiconductor Model

Zhangxin Chen
SIAM Journal on Numerical Analysis 32 (2) 455 (1995)
https://doi.org/10.1137/0732019

Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory

Frédéric Coquel and Philippe Le Floch
SIAM Journal on Numerical Analysis 30 (3) 675 (1993)
https://doi.org/10.1137/0730033

Convergence of a finite element method for the drift-diffusion semiconductor device equations: the zero diffusion case

Bernardo Cockburn and Ioana Triandaf
Mathematics of Computation 59 (200) 383 (1992)
https://doi.org/10.1090/S0025-5718-1992-1145661-0