Accessible Requires Authentication Published by De Gruyter November 15, 2011

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

A. T. Barker, S. C. Brenner and L.-Y. Sung
From the journal

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 C[1 + (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.

Received: 2011-02-05
Published Online: 2011-11-15
Published in Print: 2011-October

© de Gruyter 2011