Optimal multilevel methods for graded bisection grids (Q663266)

From MaRDI portal





scientific article; zbMATH DE number 6006404
Language Label Description Also known as
English
Optimal multilevel methods for graded bisection grids
scientific article; zbMATH DE number 6006404

    Statements

    Optimal multilevel methods for graded bisection grids (English)
    0 references
    0 references
    0 references
    0 references
    14 February 2012
    0 references
    The authors design and analyze optimal additive and multiplicative multilevel methods for solving \(H^1\) problems on graded grids obtained by bisection. They present a novel decomposition of bisection grids, introduce and analyze economical local smoothers, and provide a unified framework for analysis of multilevel methods on graded bisection grids without the nested refinement assumption.
    0 references
    multilevel methods
    0 references
    graded bisection grids
    0 references
    quasi-uniform grids
    0 references
    adaptive finite element
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references