Brenner, SC and Sung, L-Y and Gudi, T and Cui, J (2011) Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. In: Numerische Mathematik, 119 (1). pp. 21-47.
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Official URL: http://dx.doi.org/10.1007/s00211-011-0379-y
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 2 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.
| Item Type: | Journal Article |
|---|---|
| Additional Information: | Copyright belongs to Springer, Part of Springer Science+Business Media |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 21 Nov 2011 11:54 |
| Last Modified: | 21 Nov 2011 11:54 |
| URI: | http://eprints.iisc.ernet.in/id/eprint/42343 |
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