Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

Antonietti, Paola F.; Ayuso, Blanca

Abstract

We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in Antonietti et al. [Math. Model. Numer. Anal., 41(1):21-54, 2007] and [Math. Model. Numer. Anal., submitted, 2006] to the (non-consistent) super penalty discontinuos Galerkin methods introduced by Babuska et al. [SIAM J. Numer. Anal., 10:863-875, 1973] and by Brezzi et al. [Numer. Methods Partial Differential Equations, 16(4):365-378, 2000]. We show that the resulting preconditioners are scalable, and we provide the convergence estimates. We also present numerical experiments demonstrating the theoretical results.

Citation

Antonietti, P. F., & Ayuso, B. (2007). Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Manuscript submitted for publication

• Journal Article Type: Article
• Publication Date: Oct 1, 2007
• Deposit Date: Oct 8, 2007
• Publicly Available Date: Oct 23, 2007
• Peer Reviewed: Not Peer Reviewed
• Keywords: Schwarz preconditioners, super penalty discontinuous Galerkin methods
• Public URL: https://nottingham-repository.worktribe.com/output/1016423