The analysis of multigrid algorithms for cell centered finite difference methods (Q1914574)

From MaRDI portal





scientific article; zbMATH DE number 892176
Language Label Description Also known as
English
The analysis of multigrid algorithms for cell centered finite difference methods
scientific article; zbMATH DE number 892176

    Statements

    The analysis of multigrid algorithms for cell centered finite difference methods (English)
    0 references
    0 references
    0 references
    0 references
    0 references
    23 June 1996
    0 references
    A multigrid algorithm for cell centered finite difference approximations is examined. The cell centered discretization gives rise to a non-variational multigrid algorithm. It is shown that the \(W\)-cycle and variable \(V\)-cycle converge with a rate which is independent of the number of multilevel spaces. In contrast, the natural variational multigrid method converges much more slowly.
    0 references
    convergence
    0 references
    multigrid algorithm
    0 references
    cell centered finite difference approximations
    0 references
    \(W\)-cycle
    0 references
    \(V\)-cycle
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references