Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

Brenner, S. C. ; Cui, J. ; Gudi, T. ; Sung, L.-Y. (2011) Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes Numerische Mathematik, 119 (1). pp. 21-47. ISSN 0029-599X

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Official URL: https://doi.org/10.1007/s00211-011-0379-y

Related 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:Article
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ID Code:141582
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