Title

Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

Document Type

Article

Publication Date

9-1-2011

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 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. © 2011 Springer-Verlag. 2

Publication Source (Journal or Book title)

Numerische Mathematik

First Page

21

Last Page

47

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