Post-Processing of Galerkin Methods for Hyperbolic Problems

Author:

Cockburn Bernardo,Luskin Mitchell,Shu Chi-Wang,Süli Endre

Publisher

Springer Berlin Heidelberg

Reference16 articles.

1. S. Adjerid, M. Aiffa, and J.E. Flaherty. High-order finite element methods for singularly-perturbed elliptic and parabolic problems. SIAM J. Appl. Math., 55: 520–543, 1995.

2. S. Adjerid, J.E. Flaherty, and L. Krivodonova. Superconvergence and a posteriori error estimation for continuous and discontinuous Galerkin methods applied to singularly perturbed parabolic and hyperbolic problems. in preparation.

3. M.Y.T. Apelkrans. Some properties of difference schemes for hyperbolic equations with discontinuities and a new method with almost quadratic convergence. Technical Report 15A, Uppsala University, Dept. of Computer Science, 1969.

4. R. Biswas, K.D. Devine, and J. Flaherty. Parallel, adaptive finite element methods for conservation laws. Appl. Numer. Math., 14: 255–283, 1994.

5. J.H. Bramble and A.H. Schatz. Higher order local accuracy by averaging in the finite element method. Math. Comp., 31: 94–111, 1977.

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