Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
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- Brenner, S.C., Cui, J., Gudi, T. et al. Numer. Math. (2011) 119: 21. doi:10.1007/s00211-011-0379-y
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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.