On a Cell Entropy Inequality for Discontinuous Galerkin Methods

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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.

Topics & Keywords

Advanced Numerical Methods in Computational Mathematics Computational Fluid Dynamics and Aerodynamics Advanced Mathematical Modeling in Engineering

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Publication Details

Published in: Mathematics of Computation

Volume 62, Issue 206, pp. 531-531

DOI: 10.2307/2153521

Field-Weighted Citation Impact: 1.64