Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients (Q2878947)

From MaRDI portal





scientific article; zbMATH DE number 6340636
Language Label Description Also known as
English
Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients
scientific article; zbMATH DE number 6340636

    Statements

    5 September 2014
    0 references
    multigrid
    0 references
    regularity-free
    0 references
    finite differences
    0 references
    second-order elliptic boundary value problems
    0 references
    convergence
    0 references
    0 references
    Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients (English)
    0 references
    Convergence bounds for a multigrid method for a finite difference discretization of elliptic self-adjoint second-order elliptic partial differential equations are given, using the regularity-free approach of \textit{J. H. Bramble} et al. [Math. Comput. 57, No. 195, 23--45 (1991; Zbl 0727.65101)]. An implementation is described and the convergence is illustrated computationally on an L-shaped domain.
    0 references
    0 references

    Identifiers

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