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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/13D3A5FC-E7D5-4BBF-BAE8-E768D4DFE925 | - |
| Identifier | https://doi.org/10.1016/j.apnum.2009.08.006 | - |
| Language | en | - |
| Extent | 8 pages | en |
| Title | P-Cyclic SOR for BVPs with periodic boundary conditions | en |
| Creator | Saridakis Ioannis | en |
| Creator | Σαριδακης Ιωαννης | el |
| Creator | Papadopoulou Eleni | en |
| Creator | Παπαδοπουλου Ελενη | el |
| Creator | Papadomanolaki, Maria | en |
| Publisher | Elsevier | en |
| Content Summary | The employment of finite element or finite difference discretization schemes, for the numerical solution of Boundary Value Problems (BVPs) with periodic type Boundary Conditions (BCs), leads to a large and sparse linear system whose coefficient matrix is in normal p-cyclic form. The use of block iterative methods, for the solution of such linear systems, and the demand for fast convergence rates, require the optimal repartitioning of the coefficient matrix. In this work, we make use of the finite element Hermite collocation method to discretize the BVP and the SOR iterative method to solve the corresponding sparse linear system. The optimal repartitioning of the collocation coefficient matrix leads to SOR methods with optimal rates of convergence. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-16 | - |
| Date of Publication | 2010 | - |
| Subject | Greek mathematics | en |
| Subject | mathematics greek | en |
| Subject | greek mathematics | en |
| Bibliographic Citation | M. Papadomanolaki, E.P. Papadopoulou ,Y. G. Saridakis, “p-Cyclic SOR for BVPs with periodic boundary conditions,"Applied Num. Mathe.,vol. 60,no. 4, pp. 411-419, 2010. doi:10.1016/j.apnum.2009.08.006 | en |
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