Abstract
In this paper, we discuss the concurrent integration applied to the 3D isogeometric finite element method. It has been proven that integration over individual elements with Gaussian quadrature is independent of each other, and a concurrent algorithm for integrating a single element has been created. The suboptimal integration algorithm over each element is developed as a sequence of basic atomic computational tasks, and the dependency relation between them is identified. We show how to prepare independent sets of tasks that can be automatically executed concurrently on a GPU card. This is done with the help of Diekert’s graph, which expresses the dependency between tasks. The execution time of the concurrent GPU integration is compared with the sequential integration executed on CPU.
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The work of Maciej Woźniak was partially financed by the AGH University of Science and Technology Statutory Fund.
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Szyszka, A., Woźniak, M. (2023). Parallel Algorithm for Concurrent Integration of Three-Dimensional B-Spline Functions. In: Mikyška, J., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds) Computational Science – ICCS 2023. ICCS 2023. Lecture Notes in Computer Science, vol 14074. Springer, Cham. https://doi.org/10.1007/978-3-031-36021-3_57
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