On a cell entropy inequality for discontinuous Galerkin methods

Author:

Jiang Guang Shan,Shu Chi-Wang

Abstract

We prove a cell entropy inequality for a class of high-order discontinuous Galerkin finite element methods approximating conservation laws, which implies convergence for the one-dimensional scalar convex case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference14 articles.

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3. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework;Cockburn, Bernardo;Math. Comp.,1989

4. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case;Cockburn, Bernardo;Math. Comp.,1990

5. An error estimate for finite volume methods for multidimensional conservation laws;Cockburn, Bernardo;Math. Comp.,1994

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