Domain Decomposition Methods - Algorithms and Theory: 34 (Springer Series in Computational Mathematics)

Book Details

• Author: Olof Widlund

• Brand: Springer

• Edition: 2005 ed.

• Binding: Hardcover

• ISBN: 9783540206965

• Pages: 450

• Release Date: 18-10-2004

• Languages: English, German

About The Book

"Domain Decomposition Methods for Partial Differential Equations" by Olof Widlund provides a thorough and self-contained presentation of domain decomposition preconditioners, one of the most successful and widely-used techniques for solving partial differential equations (PDEs). This book focuses on both the algorithmic and mathematical aspects of domain decomposition, making it an essential resource for advanced students, researchers, and professionals in numerical analysis, computational science, and applied mathematics.

The text introduces several powerful methods such as the Finite Element Tearing and Interconnecting (FETI) and Balancing Neumann-Neumann methods, along with algorithms for spectral element methods—topics not covered in previous monographs. These methods have seen wide applications in finite and spectral element approximations of PDEs, and the book ensures a deep understanding of these crucial techniques.

Key features of the book include:

• Comprehensive Coverage of Domain Decomposition Preconditioners – Detailed explanations of popular methods like FETI, balancing Neumann-Neumann, and spectral element methods.

• Algorithmic and Mathematical Focus – Strong emphasis on both the practical algorithms and the underlying mathematics, providing a balanced and rigorous treatment of the subject.

• Award-Winning Work – Winner of the 2005 Award for Excellence in Professional and Scholarly Publishing in the Mathematics/Statistics category by the Association of American Publishers.

• Applications in Computational Mathematics – Suitable for students and professionals working in fields that require solving large-scale PDEs, such as engineering, physics, and computational science.

• Bilingual Edition – The book is available in both English and German, making it accessible to a wider audience of readers.

This book is a must-have for anyone looking to master domain decomposition methods and their applications in PDEs, offering valuable insights into these advanced computational techniques.