Brenner, SC and Sung, L-Y and Gudi, T and Cui, J (2011) Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. In: Numerische Mathematik, 119 (1). pp. 21-47.
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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 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:||Journal Article|
|Additional Information:||Copyright belongs to Springer, Part of Springer Science+Business Media|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||21 Nov 2011 11:54|
|Last Modified:||21 Nov 2011 11:54|
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