CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION

@article{Lin1993CONVERGENCEOT,
title={CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION},
author={Q. Lin and A. Zhou},
journal={Acta Mathematica Scientia},
year={1993},
volume={13},
pages={207-210}
}

Abstract It is proved in this paper that the approximate solution of the discontinuous Galerkin method does converge even the exact solution of the first order hyperbolic equation is discontinuous.