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Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

Antonietti, Paola F.; Ayuso, Blanca

Authors

Paola F. Antonietti

Blanca Ayuso



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.

Journal Article Type Article
Publication Date Oct 1, 2007
Journal Communications in Computational Physics
Peer Reviewed Not Peer Reviewed
APA6 Citation Antonietti, P. F., & Ayuso, B. (2007). Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Manuscript submitted for publication
Keywords Schwarz preconditioners, super penalty discontinuous Galerkin methods
Publisher URL http://www.global-sci.com/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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