This paper discusses the parallel implementation of multigrid correction schemes for the solution of linear elliptic PDEs in both 2 and 3 dimensions on a reconfigurable Transputer network. The method used for smoothing is Red Black Gauss Seidel. The purpose of this paper is to investigate whether or not multigrid methods can be implemented in a way which maintains the parallel efficiency of the underlying smoother whilst achieving the vastly improved convergence rates due to multigrid.
CITATION STYLE
Shaw, G. J., Stewart, A., & Waring, L. C. (1990). 3D multigrid correction methods for transputer networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 457 LNCS, pp. 665–671). Springer Verlag. https://doi.org/10.1007/3-540-53065-7_142
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