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Multigrid methods for variation problems: The V-cycle

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  • McCormick, S.F.

Abstract

In an earlier paper, we developed a convergence theory for a class of multigrid methods applied to differential boundary value problems, where the differential operator is self-adjoint and positive definite. The multigrid structure assumed a variational setting (although it applies to finite differences as well as finite elements) and incorporated the so-called W-cycle process. In the present paper, we extend this theory to include some results on the corresponding V-cycle multigrid algorithm.

Suggested Citation

  • McCormick, S.F., 1983. "Multigrid methods for variation problems: The V-cycle," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 25(1), pages 63-65.
    • Handle: RePEc:eee:matcom:v:25:y:1983:i:1:p:63-65
    DOI: 10.1016/0378-4754(83)90034-4
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