Domain Decomposition Method for Maxwell`s Equations
Author | : Achim Schädle |
Publisher | : |
Total Pages | : 24 |
Release | : 2006 |
Genre | : |
ISBN | : |
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Author | : Achim Schädle |
Publisher | : |
Total Pages | : 24 |
Release | : 2006 |
Genre | : |
ISBN | : |
Author | : Yunqing Huang |
Publisher | : Springer Science & Business Media |
Total Pages | : 484 |
Release | : 2010-10-27 |
Genre | : Mathematics |
ISBN | : 3642113044 |
These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.
Author | : Victorita Dolean |
Publisher | : SIAM |
Total Pages | : 242 |
Release | : 2015-12-08 |
Genre | : Science |
ISBN | : 1611974054 |
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.?
Author | : Andrea Toselli |
Publisher | : Springer Science & Business Media |
Total Pages | : 454 |
Release | : 2006-06-20 |
Genre | : Mathematics |
ISBN | : 3540266623 |
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.
Author | : Tarek Mathew |
Publisher | : Springer Science & Business Media |
Total Pages | : 775 |
Release | : 2008-06-25 |
Genre | : Mathematics |
ISBN | : 354077209X |
Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.
Author | : Jocelyne Erhel |
Publisher | : Springer |
Total Pages | : 931 |
Release | : 2014-10-10 |
Genre | : Mathematics |
ISBN | : 3319057898 |
This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineering. They are based on a solid theoretical foundation and shown to be scalable for many important applications. Domain decomposition techniques can also naturally take into account multiscale phenomena. This book contains the most recent results in this important field of research, both mathematically and algorithmically and allows the reader to get an overview of this exciting branch of numerical analysis and scientific computing.
Author | : Chang-Ock Lee |
Publisher | : Springer |
Total Pages | : 419 |
Release | : 2017-03-15 |
Genre | : Computers |
ISBN | : 3319523899 |
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.
Author | : Yijun Lu |
Publisher | : National Library of Canada = Bibliothèque nationale du Canada |
Total Pages | : 114 |
Release | : 1995 |
Genre | : Decomposition (Mathematics) |
ISBN | : 9780612067165 |
Author | : Randolph Bank |
Publisher | : Springer Science & Business Media |
Total Pages | : 702 |
Release | : 2013-07-03 |
Genre | : Mathematics |
ISBN | : 3642352758 |
These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms.
Author | : Petter E. Bjørstad |
Publisher | : Springer |
Total Pages | : 570 |
Release | : 2019-01-05 |
Genre | : Mathematics |
ISBN | : 3319938738 |
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.