Abstract
For the efficient multigrid solution of 2D and 3D elliptic partial differential equations on multiprocessor machines, parallel block relaxation methods such as line relaxation, block ILU smoothing and plane relaxation, have been implemented and applied successfully for problems with arbitrary anisotropies. High user program portability has been achieved by use of the ANL/GMD macros. Numerical results, particularly concerning multiprocessor efficiencies, are presented and discussed.
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Gärtel, U., Krechel, A., Niestegge, A., Plum, HJ. (1991). Parallel Multigrid Solution of 2D and 3D Anisotropic Elliptic Equations: Standard and Nonstandard Smoothing. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods III. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5712-3_13
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DOI: https://doi.org/10.1007/978-3-0348-5712-3_13
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