CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION

@inproceedings{Lin1993CONVERGENCEOT,
  title={CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION},
  author={Qun Lin and Aihui Zhou},
  year={1993}
}
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. 

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Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions

  • SIAM J. Numerical Analysis
  • 2004
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