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I found in A Multigrid Tutorial: Second Edition by William L. Briggs‏, Van Emden Henson‏, Steve F. (here) the following Schemes:

Two-Grid Correction Scheme, p. 37:

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And V-Cycle Scheme, p. 40

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I want to check that I understood it correctly, Two-Grid is just a multigrid scheme when the algorithm going one level coarser. It's useful for cases where it possible to solve $A^{2h}e^{2h}=r^{2h}$ equation, otherwise it implemented recursively which basically creating the V-Cycle. Did I understand it right? Is there any additional advantages and disadvantages of Two-Grid Vs. V-Cycle?

ChaosPredictor
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  • Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community Nov 29 '21 at 14:53
  • I want to know in which case to use Two-Grid and in which V-Cycle. Any human based comments are welcome. – ChaosPredictor Nov 29 '21 at 15:57
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    Two-grid is the most basic multi-grid scheme, yes. If you go down to a coarse level, and go all the way back up again, that is a V-cycle. There are other types of cycles like W-cycle, F-cycle, etc. – Abdullah Ali Sivas Nov 30 '21 at 07:12

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