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A Balancing Domain Decomposition Method By Constraints For Advection Diffusion Problems
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Book Synopsis A Balancing Domain Decomposition Method by Constraints for Advection-diffusion Problems by :
Download or read book A Balancing Domain Decomposition Method by Constraints for Advection-diffusion Problems written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The balancing domain decomposition methods by constraints are extended to solving nonsymmetric, positive definite linear systems resulting from the finite element discretization of advection-diffusion equations. A pre-conditioned GMRES iteration is used to solve a Schur complement system of equations for the subdomain interface variables. In the preconditioning step of each iteration, a partially sub-assembled finite element problem is solved. A convergence rate estimate for the GMRES iteration is established, under the condition that the diameters of subdomains are small enough. It is independent of the number of subdomains and grows only slowly with the subdomain problem size. Numerical experiments for several two-dimensional advection-diffusion problems illustrate the fast convergence of the proposed algorithm.
Book Synopsis Domain Decomposition Methods in Science and Engineering XVIII by : Michel Bercovier
Download or read book Domain Decomposition Methods in Science and Engineering XVIII written by Michel Bercovier and published by Springer Science & Business Media. This book was released on 2009-09-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Hybrid Domain Decomposition Method for Advection-diffusion Problems by : M. S. Espedal
Download or read book A Hybrid Domain Decomposition Method for Advection-diffusion Problems written by M. S. Espedal and published by . This book was released on 1996 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Domain Decomposition Methods in Science and Engineering XVI by : Olof B. Widlund
Download or read book Domain Decomposition Methods in Science and Engineering XVI written by Olof B. Widlund and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Non-overlapping Domain Decomposition Methods for Three-dimensional Cardiac Reaction-diffusion Models and Applications by : Stefano Zampini
Download or read book Non-overlapping Domain Decomposition Methods for Three-dimensional Cardiac Reaction-diffusion Models and Applications written by Stefano Zampini and published by Ledizioni. This book was released on 2011 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in biotechnology and the availability of ever more powerful computers have led to the formulation of increasingly complex models at all levels of life sciences, in particular of cardiac electrophysiology. Multiscale modeling of the bioelectric activity of the heart, taking into account macroscopic (fiber architecture and anisotropy) and microscopic (cellular) features of the tissue, aim to develop predictive tools for future drug design and patient-specific therapies, using detailed and efficient three-dimensional solvers for the governing equations of tissue electrophysiology.
Book Synopsis A Domain Decomposition Method for the Advection-diffusion Equation by : Erik Brakkee
Download or read book A Domain Decomposition Method for the Advection-diffusion Equation written by Erik Brakkee and published by . This book was released on 1994 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Domain Decomposition Methods by : Victorita Dolean
Download or read book An Introduction to Domain Decomposition Methods written by Victorita Dolean and published by SIAM. This book was released on 2015-12-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.?
Book Synopsis Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by : Tarek Mathew
Download or read book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations written by Tarek Mathew and published by Springer Science & Business Media. This book was released on 2008-06-25 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems by : Clemens Pechstein
Download or read book Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems written by Clemens Pechstein and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations. The purpose of this book is to give a detailed and self-contained presentation of these methods, including the corresponding algorithms as well as a rigorous convergence theory. In particular, two issues are addressed that have not been covered in any monograph yet: the coupling of finite and boundary elements within the tearing and interconnecting framework including exterior problems, and the case of highly varying (multiscale) coefficients not resolved by the subdomain partitioning. In this context, the book offers a detailed view to an active and up-to-date area of research.
Book Synopsis Domain Decomposition Methods in Science and Engineering XXIV by : Petter E. Bjørstad
Download or read book Domain Decomposition Methods in Science and Engineering XXIV written by Petter E. Bjørstad and published by Springer. This book was released on 2019-01-05 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Parallel Processing and Applied Mathematics, Part I by : Roman Wyrzykowski
Download or read book Parallel Processing and Applied Mathematics, Part I written by Roman Wyrzykowski and published by Springer. This book was released on 2010-07-07 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book constitutes the proceedings of the 8th International Conference on Parallel Processing and Applied Mathematics, PPAM 2009, held in Wroclaw, Poland, in September 2009.
Book Synopsis Convergence Analysis of Domain Decomposition Algorithms with Full Overlapping for the Advection-diffusion Problems by : Patrick Le Tallec
Download or read book Convergence Analysis of Domain Decomposition Algorithms with Full Overlapping for the Advection-diffusion Problems written by Patrick Le Tallec and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Domain Decomposition Methods for Advection-diffusion Problems by : Alfio Quarteroni
Download or read book Adaptive Domain Decomposition Methods for Advection-diffusion Problems written by Alfio Quarteroni and published by . This book was released on 1993 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Domain Decomposition Methods in Science and Engineering XXV by : Ronald Haynes
Download or read book Domain Decomposition Methods in Science and Engineering XXV written by Ronald Haynes and published by Springer Nature. This book was released on 2020-10-24 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Domain Decomposition Methods - Algorithms and Theory by : Andrea Toselli
Download or read book Domain Decomposition Methods - Algorithms and Theory written by Andrea Toselli and published by Springer Science & Business Media. This book was released on 2006-06-20 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Third International Symposium on Domain Decomposition Methods for Partial Differential Equations by : Tony F. Chan
Download or read book Third International Symposium on Domain Decomposition Methods for Partial Differential Equations written by Tony F. Chan and published by SIAM. This book was released on 1990-01-01 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convergence Analysis of a Balalncing Domain Decomposition Method for Solving Interior Helmholtz Equations by :
Download or read book Convergence Analysis of a Balalncing Domain Decomposition Method for Solving Interior Helmholtz Equations written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A variant of balancing domain decomposition method by constraints (BDDC) is proposed for solving a class of indefinite system of linear equations, which arises from the finite element discretization of the Helmholtz equation of time-harmonic wave propagation in a bounded interior domain. The proposed BDDC algorithm is closely related to the dual-primal finite element tearing and interconnecting algorithm for solving Helmholtz equations (FETI-DPH). Under the condition that the diameters of the subdomains are small enough, the rate of convergence is established which depends polylogarithmically on the dimension of the individual subdomain problems and which improves with the decrease of the subdomain diameters. These results are supported by numerical experiments of solving a Helmholtz equation on a two-dimensional square domain.
