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Iterative solution of elliptic collocation systems on a cognitive parallel computer

Mathioudakis Emmanouil, Papadopoulou Eleni, Saridakis Ioannis

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URIhttp://purl.tuc.gr/dl/dias/86FC7920-4441-49A8-B801-3623D46DCFF6-
Identifierhttps://doi.org/10.1016/j.camwa.2003.01.017-
Languageen-
Extent20 pagesen
TitleIterative solution of elliptic collocation systems on a cognitive parallel computeren
CreatorMathioudakis Emmanouilen
CreatorΜαθιουδακης Εμμανουηλel
CreatorPapadopoulou Elenien
CreatorΠαπαδοπουλου Ελενηel
CreatorSaridakis Ioannisen
CreatorΣαριδακης Ιωαννηςel
PublisherElsevieren
Content SummaryThe performance of parallel algorithms implementing the block SOR iterative method, used for the solution of linear systems arising from the discretization of elliptic BVPs by the finite element collocation method, is investigated in this paper. By making use of a recently introduced block tridiagonal partitioning of the collocation matrix, which yields faster rates of convergence, and its associated modified red-black ordering of unknowns and equations, we succeeded to increase the scalability of the problem. The study of the communicational and computational needs of the problem on a virtual parallel machine made possible the mapping of the resulted SOR-algorithm on a fixed size distributed memory parallel system, utilizing a simple pipeline architecture among its processors, in an optimum way. The proposed parallel schemes are being realized on a Parsytec cognitive computer via an SPMD programming model. Speedup measurements are used to reveal the efficiency of our implementation.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-29-
Date of Publication2004-
SubjectAutomatic computersen
SubjectAutomatic data processorsen
SubjectComputer hardwareen
SubjectComputing machines (Computers)en
SubjectElectronic brainsen
SubjectElectronic calculating-machinesen
SubjectElectronic computersen
SubjectHardware, Computeren
Subjectcomputersen
Subjectautomatic computersen
Subjectautomatic data processorsen
Subjectcomputer hardwareen
Subjectcomputing machines computersen
Subjectelectronic brainsen
Subjectelectronic calculating machinesen
Subjectelectronic computersen
Subjecthardware computeren
Bibliographic CitationΕ.Ν. Mathioudakis, Ε. Ρ. Papadopoulou ,Υ. G. Saridakis, " Iterative Solution of elliptic collocation systems οn a cognitive parallel computer ", Comp. and Math. with Appl., vol. 48,no.5-6 pp. 951-970, Sept. 2004.doi:10.1016/j.camwa.2003.01.017el

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