An optimal-order error estimate for the discontinuous Galerkin method
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- by Gerard R. Richter PDF
- Math. Comp. 50 (1988), 75-88 Request permission
Abstract:
In this paper a new approach is developed for analyzing the discontinuous Galerkin method for hyperbolic equations. For a model problem in ${R^2}$, the method is shown to converge at a rate $O({h^{n + 1}})$ when applied with nth degree polynomial approximations over a semiuniform triangulation, assuming sufficient regularity in the solution.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Math. Comp. 50 (1988), 75-88
- MSC: Primary 65M15; Secondary 65M60, 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1988-0917819-3
- MathSciNet review: 917819