Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

Year:    2009

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 398–412

Abstract

We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in [2,3] to the (non-consistent) super penalty discontinuous Galerkin methods introduced in [5] and [8]. We show that the resulting preconditioners are scalable, and we provide the convergence estimates. We also present numerical experiments confirming the sharpness of the theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7739

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 398–412

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords: