Title

Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems

Document Type

Article

Publication Date

10-1-2011

Abstract

We propose and analyze overlapping two-level additive Schwarz preconditioners for the local discontinuous Galerkin discretization. We prove that the condition number of the preconditioned system is bounded by C1 (H/δ), where H represents the coarse mesh size, δ measures the overlap among the subdomains, and the constant C is independent of H, δ, the fine mesh size h and the number of subdomains Ns. Numerical results are presented showing the scalability of the method. © de Gruyter 2011.

Publication Source (Journal or Book title)

Journal of Numerical Mathematics

First Page

165

Last Page

187

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