Numerische Mathematik

, Volume 95, Issue 3, pp 527–550 | Cite as

A multilevel discontinuous Galerkin method

  • J. GopalakrishnanEmail author
  • G. Kanschat
Original Paper


A variable V-cycle preconditioner for an interior penalty finite element discretization for elliptic problems is presented. An analysis under a mild regularity assumption shows that the preconditioner is uniform. The interior penalty method is then combined with a discontinuous Galerkin scheme to arrive at a discretization scheme for an advection-diffusion problem, for which an error estimate is proved. A multigrid algorithm for this method is presented, and numerical experiments indicating its robustness with respect to diffusion coefficient are reported.


Diffusion Coefficient Error Estimate Numerical Experiment Galerkin Method Element Discretization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA
  2. 2.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergGermany

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