1st Edition

Multigrid Methods

By James H Bramble Copyright 1993
    174 Pages
    by Chapman & Hall

    174 Pages
    by Chapman & Hall

    Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.

    1. Introduction to Iterative Methods 2. Model problems and Sobolev spaces 3. Abstract Multilevel Algorithms 4. Multigrid Algorithms with Nonnested Spaces and Varying Forms 5. Construction of Classes of Smoothers 6. Application to Second Order Elliptic Problems 7. Perturbation of Forms 8. Pseudodifferential operators of order minus one 9. Application to fourth order problems 10. Implementation, work estimates and full multigrid

    Biography

    Bramble, James H