Domain Decomposition Methods - Algorithms and Theory

The scope of this text is to offer a comprehensive and self-sufficient 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 put both on their algorithmic and mathematical aspects. Some important methods that are not treated in other available monographs on domain decomposition, such as FETI methods, Balancing Neumann-Neumann methods and algorithms for spectral element approximations, are covered in this book.

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

"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 as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods, not treated previously in any monograph, are covered in detail."--Jacket 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. Offers a comprehensive presentation of some of the successful domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. This book places strong emphasis on both algorithmic and mathematical aspects. It covers some important methods such as FETI and balancing Neumann-Neumann methods The basic ideas of domain decomposition are quite natural and simple.