One-dimensional shock-capturing for high-order discontinuous Galerkin methods

Author:

Casoni E.1,Peraire J.2,Huerta A.1

Affiliation:

1. Laboratori de Calcul Numeric (LaCaN). Departament de Matematica Aplicada III E.T.S. de Ingenieros de Caminos; Canales y Puertos, Universitat Politecnica de Catalunya; Jordi Girona 1-3; 08034 Barcelona; Spain

2. Department of Aeronautics and Astronautics; Massachusetts Institute of Technology; Cambridge; MA 02139; USA

Publisher

Wiley

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference28 articles.

1. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework;Cockburn;Mathematics of Computation,1989

2. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III. One-dimensional systems;Cockburn;Journal of Computational Physics,1989

3. Total-variation-diminishing time discretizations;Shu;Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing,1988

4. Efficient implementation of essentially nonoscillatory shock-capturing schemes;Shu;Journal of Computational Physics,1988

5. Strong stability-preserving high-order time discretization methods;Gottlieb;SIAM Review,2001

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