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Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.

Decomposition method --- Differential equations, Partial --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- 519.63 --- 519.6 --- 681.3 *G18 --- 681.3*G --- 681.3*I6 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 681.3*G Mathematics of computing --- Mathematics of computing --- 681.3*I6 Simulation and modeling (Computing methodologies)--See also {681.3*G3} --- Simulation and modeling (Computing methodologies)--See also {681.3*G3} --- Computer science --- Numerical analysis. --- Computer science. --- Computational Mathematics and Numerical Analysis. --- Numerical Analysis. --- Mathematics of Computing. --- Computational Science and Engineering. --- Numerical and Computational Physics, Simulation. --- Processor Architectures. --- Mathematics. --- Informatics --- Science --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Computer mathematics. --- Computer science—Mathematics. --- Physics. --- Microprocessors. --- Minicomputers --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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Decomposition method --- Differential equations, Partial

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th This volume contains a selection of 41 refereed papers presented at the 18 International Conference of Domain Decomposition Methods hosted by the School of ComputerScience and Engineering(CSE) of the Hebrew Universityof Jerusalem, Israel, January 12-17, 2008. 1 Background of the Conference Series The International Conference on Domain Decomposition Methods has been held in twelve countries throughout Asia, Europe, the Middle East, and North America, beginning in Paris in 1987. Originally held annually, it is now spaced at roughly 18-month intervals. A complete list of past meetings appears below. The principal technical content of the conference has always been mathematical, but the principal motivation has been to make ef cient use of distributed memory computers for complex applications arising in science and engineering. The leading 15 such computers, at the petascale  characterized by 10 oating point operations per second of processing power and as many Bytes of application-addressablem- ory, now marshal more than 200,000 independentprocessor cores, and systems with many millions of cores are expected soon. There is essentially no alternative to - main decomposition as a stratagem for parallelization at such scales. Contributions from mathematicians, computerscientists, engineers,and scientists are together n- essary in addressing the challenge of scale, and all are important to this conference.

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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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Numerical analysis --- Computer science --- Computer architecture. Operating systems --- Computer. Automation --- informatica --- wiskunde --- algoritmen --- informaticaonderzoek --- architectuur (informatica) --- numerieke analyse