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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 = {}, 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 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 & Blanca Ayuso. (2020). Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Communications in Computational Physics. 5 (2-4). 398-412. doi:
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