Numerische Mathematik

, Volume 119, Issue 1, pp 21–47

Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

Authors

    • Department of MathematicsLouisiana State University
    • Center for Computation and TechnologyLouisiana State University
  • J. Cui
    • Department of MathematicsLouisiana State University
    • Institute for Mathematics and its ApplicationsUniversity of Minnesota
  • T. Gudi
    • Center for Computation and TechnologyLouisiana State University
    • Department of MathematicsIndian Institute of Science
  • L.-Y. Sung
    • Department of MathematicsLouisiana State University
Article

DOI: 10.1007/s00211-011-0379-y

Cite this article as:
Brenner, S.C., Cui, J., Gudi, T. et al. Numer. Math. (2011) 119: 21. doi: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 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.

Mathematics Subject Classification (2000)

65N305N1565N55
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Copyright information

© Springer-Verlag 2011