Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems
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
Barker, A., Brenner, S., & Sung, L. (2011). Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Journal of Numerical Mathematics, 19 (3), 165-187. https://doi.org/10.1515/JNUM.2011.008