Volume 10, Issue 1
A Priori Error Estimates for Semi-discrete Discontinuous Galerkin Methods Solving Nonlinear Hamilton-Jacobi Equations with Smooth Solutions

Tao Xiong, Chi-Wang Shu & Mengping Zhang

DOI:

Int. J. Numer. Anal. Mod., 10 (2013), pp. 154-177.

Published online: 2013-10

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  • Abstract

In this paper, we provide a priori L^2 error estimates for the semi-discrete discontinuous Galerkin method [3] and the local discontinuous Galerkin method [22] for one- and two-dimensional nonlinear Hamilton-Jacobi equations with smooth solutions. With a special Gauss-Radau projection, the optimal error estimates on rectangular meshes are obtained.

  • Keywords

Hamilton-Jacobi equations discontinuous Galerkin method local discontinuous Galerkin method a priori error estimates

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