A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods
In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In particular, we introduce a class of domain decomp...
| Main Authors: | , |
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| Format: | Article |
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Springer Netherlands
2009
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| Online Access: | https://eprints.nottingham.ac.uk/1194/ |
| _version_ | 1848790557266018304 |
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| author | Antonietti, Paola F. Houston, Paul |
| author_facet | Antonietti, Paola F. Houston, Paul |
| author_sort | Antonietti, Paola F. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In particular, we introduce a class of domain decomposition preconditioners based on the Schwarz framework, and prove bounds on the condition number of the resulting iteration operators. Numerical results confirming the theoretical estimates are also presented. |
| first_indexed | 2025-11-14T18:14:30Z |
| format | Article |
| id | nottingham-1194 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:14:30Z |
| publishDate | 2009 |
| publisher | Springer Netherlands |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-11942020-05-04T20:26:33Z https://eprints.nottingham.ac.uk/1194/ A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods Antonietti, Paola F. Houston, Paul In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In particular, we introduce a class of domain decomposition preconditioners based on the Schwarz framework, and prove bounds on the condition number of the resulting iteration operators. Numerical results confirming the theoretical estimates are also presented. Springer Netherlands 2009 Article NonPeerReviewed Antonietti, Paola F. and Houston, Paul (2009) A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods. Journal of Scientific Computing . ISSN 0885-7474 (Submitted) http://www.springer.com/math/cse/journal/10915 |
| spellingShingle | Antonietti, Paola F. Houston, Paul A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods |
| title | A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods |
| title_full | A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods |
| title_fullStr | A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods |
| title_full_unstemmed | A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods |
| title_short | A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods |
| title_sort | class of domain decomposition preconditioners for hp-discontinuous galerkin finite element methods |
| url | https://eprints.nottingham.ac.uk/1194/ https://eprints.nottingham.ac.uk/1194/ |