ABSTRACT

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.

chapter 1|8 pages

Introduction to Iterative Methods

chapter 2|12 pages

Model problems and Sobolev spaces

chapter 3|37 pages

Abstract Multilevel Algorithms

chapter 5|8 pages

Construction of Classes of Smoothers

chapter 7|6 pages

Perturbation of Forms

chapter 9|12 pages

Application to fourth order problems