Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods
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 Babus...
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| Format: | Article |
| Published: |
2007
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| Online Access: | https://eprints.nottingham.ac.uk/567/ |
| _version_ | 1848790432303022080 |
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| author | Antonietti, Paola F. Ayuso, Blanca |
| author_facet | Antonietti, Paola F. Ayuso, Blanca |
| author_sort | Antonietti, Paola F. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:12:31Z |
| format | Article |
| id | nottingham-567 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:12:31Z |
| publishDate | 2007 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-5672020-05-04T20:28:05Z https://eprints.nottingham.ac.uk/567/ Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods Antonietti, Paola F. Ayuso, Blanca 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. 2007-10 Article NonPeerReviewed Antonietti, Paola F. and Ayuso, Blanca (2007) Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Communications in Computational Physics . (Submitted) Schwarz preconditioners super penalty discontinuous Galerkin methods http://www.global-sci.com/ |
| spellingShingle | Schwarz preconditioners super penalty discontinuous Galerkin methods Antonietti, Paola F. Ayuso, Blanca Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods |
| title | Two-Level Schwarz Preconditioners for Super Penalty
Discontinuous Galerkin Methods |
| title_full | Two-Level Schwarz Preconditioners for Super Penalty
Discontinuous Galerkin Methods |
| title_fullStr | Two-Level Schwarz Preconditioners for Super Penalty
Discontinuous Galerkin Methods |
| title_full_unstemmed | Two-Level Schwarz Preconditioners for Super Penalty
Discontinuous Galerkin Methods |
| title_short | Two-Level Schwarz Preconditioners for Super Penalty
Discontinuous Galerkin Methods |
| title_sort | two-level schwarz preconditioners for super penalty
discontinuous galerkin methods |
| topic | Schwarz preconditioners super penalty discontinuous Galerkin methods |
| url | https://eprints.nottingham.ac.uk/567/ https://eprints.nottingham.ac.uk/567/ |