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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.

Decomposition (Mathematics) --- Differential equations, Partial --- Décomposition (Mathématiques) --- Equations aux dérivées partielles --- 519.63 --- Numerical methods for solution of partial differential equations --- Decomposition method. --- Differential equations, Partial. --- Decomposition method --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Operations Research --- Mathematics - General --- Calculus --- 519.63 Numerical methods for solution of partial differential equations --- Décomposition (Mathématiques) --- Equations aux dérivées partielles --- EPUB-LIV-FT LIVMATHE SPRINGER-B --- Partial differential equations --- Method, Decomposition --- 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. --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- 517.1 Mathematical analysis --- Computer software engineering --- Engineering --- Minicomputers --- Math --- Science --- Operations research --- Programming (Mathematics) --- System analysis --- Computer science --- Global analysis (Mathematics). --- Computer science. --- Informatics --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic

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Decomposition method --- Differential equations, Partial

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Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distributed memory computers, it has been motivated by considerations of concurrency and locality in a wide variety of large-scale problems, continuous and discrete. Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Numerical analysis --- Computer science --- Computer. Automation --- informatica --- wiskunde --- algoritmen --- informaticaonderzoek --- numerieke analyse

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This volume contains a selection of papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering held at St. Wolfgang / Strobl, Austria, July 3 - 7, 2006. Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. Domain decomposition techniques provide efficient tools for treating problems in all Computational Sciences. The reader will become familiar with the newest domain decomposition technologies and their use for modeling and simulating of complex problems from different fields of applications.

Numerical analysis --- Computer science --- Computer. Automation --- informatica --- wiskunde --- algoritmen --- informaticaonderzoek --- numerieke analyse