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

The purpose of this text is to offer a comprehensive and self contained presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations Strong emphasis is placed on both algorithmic and mathematical aspects Some important methods such FETI and balancing Neumann Neumann methods and algorithms for spectral element methods not treated previously in any monograph are covered in detail Winner of the 2005 Award for Excellence in Professional and Scholarly Publishing Mathematics Statistics of the Association of American Publishers This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations It places strong emphasis on both algorithmic and mathematical aspects It covers in detail important methods such as FETI and balancing Neumann Neumann methods and algorithms for spectral element methods