Studies in Domain Decomposition : Multilevel Methods and the Biharmonic Dirichlet Problem (Classic Reprint)

Xuejun Zhang

ISBN 10: 1332201210 / ISBN 13: 9781332201211

Published by Forgotten Books, 2015

About this Item

Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 26074663/1

Bibliographic Details

• Title: Studies in Domain Decomposition : Multilevel Methods and the Biharmonic Dirichlet Problem (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2015
• Language: English
• ISBN 10: 1332201210
• ISBN 13: 9781332201211
• Binding: Soft cover
• Condition: Hervorragend
• Seller catalogs:
  • Bücher

About this title

Synopsis

This book explores multilevel methods for solving large-scale second-order elliptic problems. The author considers a class of multilevel methods in the additive Schwarz framework and establishes that under a regularity assumption, the condition number of the iterative operator grows at most linearly with the number of levels. The author extends this idea to the biharmonic Dirichlet problem, and constructs additive Schwarz algorithms for the biharmonic problem using various conforming finite element discretizations. The author establishes optimality and almost optimal convergence properties for the algorithms. The book is a valuable resource for researchers and graduate students in numerical analysis and scientific computing, especially those interested in domain decomposition methods for solving large-scale partial differential equations.