Unigrid for multigrid simulation
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- by S. F. McCormick and J. W. Ruge PDF
- Math. Comp. 41 (1983), 43-62 Request permission
Abstract:
This paper develops unigrid which is an algorithm that results from interpreting multigrid as it directly affects the fine grid approximation. Unigrid is theoretically equivalent to multigrid under certain assumptions, yet has different computational characteristics. Though it is generally less efficient, unigrid is very useful as a software tool for testing the feasibility of applying multigrid to a given problem. This is illustrated with several numerical examples.References
- Achi Brandt, Multi-level adaptive solutions to boundary-value problems, Math. Comp. 31 (1977), no. 138, 333–390. MR 431719, DOI 10.1090/S0025-5718-1977-0431719-X
- S. F. McCormick and J. W. Ruge, Multigrid methods for variational problems, SIAM J. Numer. Anal. 19 (1982), no. 5, 924–929. MR 672568, DOI 10.1137/0719067
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Math. Comp. 41 (1983), 43-62
- MSC: Primary 65N20; Secondary 65F10, 65N50
- DOI: https://doi.org/10.1090/S0025-5718-1983-0701623-0
- MathSciNet review: 701623