Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
Document Type
Article
Publication Date
9-1-2011
Abstract
We study a class of symmetric discontinuous Galerkin methods on graded meshes. Optimal order error estimates are derived in both the energy norm and the L norm, and we establish the uniform convergence of V-cycle, F-cycle and W-cycle multigrid algorithms for the resulting discrete problems. Numerical results that confirm the theoretical results are also presented. © 2011 Springer-Verlag. 2
Publication Source (Journal or Book title)
Numerische Mathematik
First Page
21
Last Page
47
Recommended Citation
Brenner, S., Cui, J., Gudi, T., & Sung, L. (2011). Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. Numerische Mathematik, 119 (1), 21-47. https://doi.org/10.1007/s00211-011-0379-y
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