Abstract
An algorithm for efficient solution of large 3-D Poisson problems arising in the numerical simulation of the incompressible, unsteady Navier Stokes equations is presented. It is demonstrated that for a certain class of flows with onehomogeneouscoordinate direction an efficient load balancing on massively parallel machines can be achieved by simultaneous direct and iterative solution of 2-D Helmholtz problems. The use of the Schur complement method in conjunction with direct solution based on precomputed LU decomposition is capable to significantly reduce memory need and execution time
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© 2002 Springer-Verlag Berlin Heidelberg
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Kaltenbach, H.J., Jäkel, A. (2002). A Hybrid Direct/Iterative Algorithm for the Solution of Poisson’s Equation Based on the Schur Complement Method. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_20
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DOI: https://doi.org/10.1007/978-3-642-55919-8_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42946-3
Online ISBN: 978-3-642-55919-8
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