Numerische Mathematik

, Volume 119, Issue 1, pp 21–47 | Cite as

Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

Article

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.

Mathematics Subject Classification (2000)

65N30 5N15 65N55 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • S. C. Brenner
    • 1
    • 2
  • J. Cui
    • 1
    • 3
  • T. Gudi
    • 2
    • 4
  • L.-Y. Sung
    • 1
  1. 1.Department of MathematicsLouisiana State UniversityBaton RougeUSA
  2. 2.Center for Computation and TechnologyLouisiana State UniversityBaton RougeUSA
  3. 3.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA
  4. 4.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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