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Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

Antonietti, Paola F.; Ayuso, Blanca


Paola F. Antonietti

Blanca Ayuso


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.


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
Journal Communications in Computational Physics
Peer Reviewed Not Peer Reviewed
Keywords Schwarz preconditioners, super penalty discontinuous Galerkin methods
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