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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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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.
Decomposition method --- Differential equations, Partial --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Engineering. --- Computer science --- Computer science. --- Engineering, general. --- Computational Mathematics and Numerical Analysis. --- Computational Science and Engineering. --- Numerical and Computational Physics, Simulation. --- Mathematics of Computing. --- Mathematics. --- Informatics --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Mathematics --- Computer mathematics. --- Physics. --- Computer science—Mathematics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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These are the proceedings of the 27th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Prague, Czech Republic, in July 2022. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2022.
Mathematics --- Numerical analysis. --- Mathematical models. --- Computational Science and Engineering. --- Computational Mathematics and Numerical Analysis. --- Numerical Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Data processing. --- Descomposició (Matemàtica) --- Informàtica
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This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.
Mathematics. --- Computer mathematics. --- Computational Science and Engineering. --- Decomposition method --- Differential equations, Partial --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Computer science. --- Informatics --- Science --- Computer mathematics --- Electronic data processing --- Mathematics --- Computer science
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These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.
Decomposition method --- Computer science --- Differential equations, partial. --- Computer science. --- Computer simulation. --- Computer aided design. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Computer Engineering. --- Mathematics of Computing. --- Simulation and Modeling. --- Computer-Aided Engineering (CAD, CAE) and Design. --- Mathematics. --- CAD (Computer-aided design) --- Computer-assisted design --- Computer-aided engineering --- Design --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Informatics --- Science --- Partial differential equations --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Computer mathematics. --- Partial differential equations. --- Computer engineering. --- Computer science—Mathematics. --- Computer-aided engineering. --- CAE --- Engineering --- Computers --- Data processing --- Design and construction
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