Domain Decomposition Methods — Algorithms and Theory

• Main Authors: Toselli, Andrea (Author), Widlund, Olof B. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Series: Springer Series in Computational Mathematics, 34
• Subjects: Mathematics.; Microprocessors.; Software engineering.; Mathematical analysis.; Analysis (Mathematics).; Computer mathematics.; Numerical analysis.; Computational Mathematics and Numerical Analysis.; Analysis.; Numerical Analysis.; Computational Science and Engineering.; Processor Architectures.; Software Engineering/Programming and Operating Systems.

Table of Contents:

• Abstract Theory of Schwarz Methods
• Two-Level Overlapping Methods
• Substructuring Methods: Introduction
• Primal Iterative Substructuring Methods
• Neumann-Neumann and FETI Methods
• Spectral Element Methods
• Linear Elasticity
• Preconditioners for Saddle Point Problems
• Problems in H (div ; ?) and H (curl ; ?)
• Indefinite and Nonsymmetric Problems
• Elliptic Problems and Sobolev Spaces
• Galerkin Approximations
• Solution of Algebraic Linear Systems.