Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

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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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
Publication:	Numerische Mathematik
Publisher:	Springer
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.ac.in/id/eprint/42343

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