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Volume 5, Issue 2-4
Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

Paola F. Antonietti & Blanca Ayuso

Commun. Comput. Phys., 5 (2009), pp. 398-412.

Published online: 2009-02

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  • 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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@Article{CiCP-5-398, author = {Paola F. Antonietti and Blanca Ayuso}, title = {Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7739.html} }
TY - JOUR T1 - Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods AU - Paola F. Antonietti & Blanca Ayuso JO - Communications in Computational Physics VL - 2-4 SP - 398 EP - 412 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7739.html KW - AB -

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.

Paola F. Antonietti and Blanca Ayuso. (2009). Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Communications in Computational Physics. 5 (2-4). 398-412. doi:
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