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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- D. Arnold, F. Brezzi, Bernardo Cockburn, L. D. Marini
- Mathematics, Computer ScienceSIAM J. Numer. Anal.
- 1 May 2001
We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous…
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Bernardo Cockburn, Chi-Wang Shu
- Computer Science, Mathematics
- 21 October 1998
TLDR
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
- Bernardo Cockburn, Chi-Wang Shu
- Computer ScienceJ. Sci. Comput.
- 2001
TLDR
TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework
- Bernardo Cockburn, Chi-Wang Shu
- Mathematics
- 1 May 1989
Construction et analyse d'une classe de methodes a elements finis de Galerkin discontinues a variation totale bornee pour la resolution des lois de conservation. Etude de la convergence. Resultats…
The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multi-D systems
- Bernardo Cockburn, Chi-Wang Shu
- Computer Science
- 10 April 1998
TLDR
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Bernardo Cockburn, Jay Gopalakrishnan, R. Lazarov
- Computer ScienceSIAM J. Numer. Anal.
- 1 February 2009
TLDR
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems
- Bernardo Cockburn, San-Yih Lin, Chi-Wang Shu
- Computer Science, Mathematics
- 1 September 1989
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
- Bernardo Cockburn, S. Hou, Chi-Wang Shu
- Computer Science
- 1 May 1990
TLDR
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- P. Castillo, Bernardo Cockburn, I. Perugia, D. Schötzau
- Mathematics, Computer ScienceSIAM J. Numer. Anal.
- 1 October 2000
TLDR
Discontinuous Galerkin methods
- Bernardo Cockburn
- Computer Science, Mathematics
- 1 November 2003
TLDR
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