Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

S. C. Brenner; Jintao Cui; T. Gudi; L. Y. Sung

doi:10.1007/s00211-011-0379-y

Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

S. C. Brenner, Jintao Cui, T. Gudi, L. Y. Sung

Research output: Journal article publication › Journal article › Academic research › peer-review

23 Citations (Scopus)

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 L2 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.

Original language	English
Pages (from-to)	21-47
Number of pages	27
Journal	Numerische Mathematik
Volume	119
Issue number	1
DOIs	https://doi.org/10.1007/s00211-011-0379-y
Publication status	Published - 1 Sept 2011
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s00211-011-0379-y

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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 L2 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.",

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AB - 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 L2 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.

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Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

Abstract

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