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The Error Estimates of Direct Discontinuous Galerkin Methods Based on Upwind-Baised Fluxes

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Document pages: 7 pages

Abstract: In this paper, we study the error estimates for direct discontinuous Galerkin methods based on the upwind-biased fluxes. We use a newly global projection to obtain the optimal error estimates. The numerical experiments imply that L2 norms error estimates can reach to order k + 1 by using time discretization methods.

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