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Parallel iterative solution of the hermite collocation equations on GPUs

Mathioudakis Emmanouil, Vilanakis Nikolaos, Papadopoulou Eleni, Saridakis Ioannis

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URIhttp://purl.tuc.gr/dl/dias/625BB70B-CC5D-484A-B4FA-E60EB5C70FB2-
Identifierhttp://www.iaeng.org/publication/WCE2013/WCE2013_pp1281-1286.pdf-
Languageen-
Extent6 pagesen
TitleParallel iterative solution of the hermite collocation equations on GPUsen
CreatorMathioudakis Emmanouilen
CreatorΜαθιουδακης Εμμανουηλel
CreatorVilanakis Nikolaosen
CreatorΒιλανακης Νικολαοςel
CreatorPapadopoulou Elenien
CreatorΠαπαδοπουλου Ελενηel
CreatorSaridakis Ioannisen
CreatorΣαριδακης Ιωαννηςel
Content SummaryWe consider the computationally intense problem of solving the large, sparse and non-symmetric system of equa- tions arising from the discretization of elliptic Boundary Value Problems (BVPs) by the Collocation finite element method using Hermite bi-cubic elements. As the size of the problem directly suggests the usage of parallel iterative methods, we consider the implementation on multiprocessor shared memory parallel architectures with Graphics Processing Units of the non-stationary preconditioned Bi-Conjugate Gradient Stabi- lized (BiCGSTAB) iterative method. To induce scalability to our computation, we structure the Collocation matrix to a particular line red-black ordered form, leading to the devel- opment of a well-structured parallel algorithm for the iterative method. The realization of the said algorithm took place on a HP SL390 multiprocessor machine with Tesla M2070 GPUs. Execution time measurements are used to reveal the efficiency of our parallel implementation.en
Type of ItemΠλήρης Δημοσίευση σε Συνέδριοel
Type of ItemConference Full Paperen
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-16-
Date of Publication2013-
SubjectCollocationen
SubjectBiCGSTABen
SubjectShared memoryen
SubjectOpenMPen
SubjectOpenACCen
SubjectGPUsen
Bibliographic CitationE. Mathioudakis, N. Vilanakis, E. Papadopoulou, Y. Saridakis. (2013). Parallel iterative solution of the hermite collocation equations on GPUs. Presented at Proceedings of the World Congress on Engineering.[online]. Available:http://www.iaeng.org/publication/WCE2013/WCE2013_pp1281-1286.pdfen

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