Domain Decomposition Methods Algorithms And Theory


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Domain Decomposition Methods - Algorithms and Theory


Domain Decomposition Methods - Algorithms and Theory

Author: Andrea Toselli

language: en

Publisher: Springer Science & Business Media

Release Date: 2006-06-20


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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.

Domain Decomposition Methods - Algorithms and Theory


Domain Decomposition Methods - Algorithms and Theory

Author: Andrea Toselli

language: en

Publisher: Springer Science & Business Media

Release Date: 2004-10-18


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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.

An Introduction to Domain Decomposition Methods


An Introduction to Domain Decomposition Methods

Author: Victorita Dolean

language: en

Publisher: SIAM

Release Date: 2015-12-08


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The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.?