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P-Cyclic SOR for BVPs with periodic boundary conditions

Saridakis Ioannis, Papadopoulou Eleni, Papadomanolaki, Maria

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URIhttp://purl.tuc.gr/dl/dias/13D3A5FC-E7D5-4BBF-BAE8-E768D4DFE925-
Identifierhttps://doi.org/10.1016/j.apnum.2009.08.006-
Languageen-
Extent8 pagesen
TitleP-Cyclic SOR for BVPs with periodic boundary conditionsen
CreatorSaridakis Ioannisen
CreatorΣαριδακης Ιωαννηςel
CreatorPapadopoulou Elenien
CreatorΠαπαδοπουλου Ελενηel
CreatorPapadomanolaki, Mariaen
PublisherElsevieren
Content SummaryThe 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 ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-16-
Date of Publication2010-
SubjectGreek mathematicsen
Subjectmathematics greeken
Subjectgreek mathematicsen
Bibliographic CitationM. 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.2009.08.006en

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