Multigrid Methods

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.

List of contents

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

Summary

This book introduces theoretical considerations involved in the study of multigrid methods and its practical applicability. It explains symmetric linear iterative methods. The book contains many abstract results concerning multigrid algorithms in the case of nested spaces and inherited forms.

Product details

• Authors: James H Bramble, James H (Cornell University) Bramble
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 02.12.2019
• EAN: 9780367449711
• ISBN: 978-0-367-44971-1
• No. of pages: 174
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis