Adaptive Coarse Space Selection In The Bddc And The Feti Dp Iterative Substructuring Methods
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Adaptive Coarse Space Selection In The Bddc And The Feti Dp Iterative Substructuring Methods
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Author : Jan Mandel
language : en
Publisher:
Release Date : 2005
Adaptive Coarse Space Selection In The Bddc And The Feti Dp Iterative Substructuring Methods written by Jan Mandel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Decomposition method categories.
"We propose adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods by adding coarse degrees of freedom (dofs) on faces between substructures constructed using eigenvectors associated with the faces."--Authors' abstract.
Domain Decomposition Methods In Science And Engineering Xvi
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Author : Olof B. Widlund
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-19
Domain Decomposition Methods In Science And Engineering Xvi written by Olof B. Widlund and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-19 with Computers categories.
Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.
Domain Decomposition Methods In Science And Engineering Xix
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Author : Yunqing Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-27
Domain Decomposition Methods In Science And Engineering Xix written by Yunqing Huang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-27 with Mathematics categories.
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.
Domain Decomposition Methods In Science And Engineering Xxv
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Author : Ronald Haynes
language : en
Publisher: Springer Nature
Release Date : 2020-10-24
Domain Decomposition Methods In Science And Engineering Xxv written by Ronald Haynes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-24 with Mathematics categories.
These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018. 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 2018.
Domain Decomposition Methods In Science And Engineering Xxiii
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Author : Chang-Ock Lee
language : en
Publisher: Springer
Release Date : 2017-03-15
Domain Decomposition Methods In Science And Engineering Xxiii written by Chang-Ock Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-15 with Computers categories.
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.
Adaptive Selection Of Face Coarse Degrees Of Freedom In The Bddc And The Feti Dp Iterative Substructuring Methods
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Author : Jan Mandel
language : en
Publisher:
Release Date : 2005
Adaptive Selection Of Face Coarse Degrees Of Freedom In The Bddc And The Feti Dp Iterative Substructuring Methods written by Jan Mandel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Degree of freedom categories.
"We propose a class of method for the adaptive selection of the coarse space of the BDDC [Balancing Domain Decomposition by Constraints] and FETI-DP [Finite Element Tearing and Interconnecting Dual Primal] iterative substructuring methods. The methods work by adding coarse degrees of freedom constructed from eigenvectors associated with intersections of selected pairs of adjacent substructures. It is assumed that the starting coarse degrees of freedom are already sufficient to prevent relative rigid body motions in any selected pair of adjacent substructures. A heuristic indicator of the the condition number is developed and a minimal number of coarse degrees of freedom is added to decrease the indicator under a given threshold. It is shown numerically on 2D elasticity problems that the indicator based on pairs of substructures with common edges predicts the actual condition number reasonably well, and that the method can select adaptively the hard part of the problem and concentrate computational work there to achieve good convergence of the iterations at a modest cost."--Authors' abstract.
Domain Decomposition Methods In Science And Engineering Xxi
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Author : Jocelyne Erhel
language : en
Publisher: Springer
Release Date : 2014-10-10
Domain Decomposition Methods In Science And Engineering Xxi written by Jocelyne Erhel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.
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.
Domain Decomposition Methods In Science And Engineering Xxiv
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Author : Petter E. Bjørstad
language : en
Publisher: Springer
Release Date : 2019-01-05
Domain Decomposition Methods In Science And Engineering Xxiv written by Petter E. Bjørstad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-05 with Mathematics categories.
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.
Domain Decomposition Methods In Science And Engineering Xxii
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Author : Thomas Dickopf
language : en
Publisher: Springer
Release Date : 2016-03-11
Domain Decomposition Methods In Science And Engineering Xxii written by Thomas Dickopf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-11 with Computers categories.
These are the proceedings of the 22nd International Conference on Domain Decomposition Methods, which was held in Lugano, Switzerland. With 172 participants from over 24 countries, this conference continued a long-standing tradition of internationally oriented meetings on Domain Decomposition Methods. The book features a well-balanced mix of established and new topics, such as the manifold theory of Schwarz Methods, Isogeometric Analysis, Discontinuous Galerkin Methods, exploitation of modern HPC architectures and industrial applications. As the conference program reflects, the growing capabilities in terms of theory and available hardware allow increasingly complex non-linear and multi-physics simulations, confirming the tremendous potential and flexibility of the domain decomposition concept.
Numerical Mathematics And Advanced Applications Enumath 2023 Volume 2
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Author : Adélia Sequeira
language : en
Publisher: Springer Nature
Release Date : 2025-04-27
Numerical Mathematics And Advanced Applications Enumath 2023 Volume 2 written by Adélia Sequeira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-27 with Mathematics categories.
This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023. The conference was held in Lisbon, Portugal, in September 2023. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and its scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015), Bergen (2017), and Egmond aan Zee (2019).