An Introduction to Domain Decomposition Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Domain Decomposition Methods write by Victorita Dolean. This book was released on 2015-12-08. An Introduction to Domain Decomposition Methods available in PDF, EPUB and Kindle. 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.?
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations write by Tarek Mathew. This book was released on 2008-06-25. Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations available in PDF, EPUB and Kindle. 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.
Domain Decomposition Methods - Algorithms and Theory
Domain Decomposition Methods - Algorithms and Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Domain Decomposition Methods - Algorithms and Theory write by Andrea Toselli. This book was released on 2006-06-20. Domain Decomposition Methods - Algorithms and Theory available in PDF, EPUB and Kindle. 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.
Domain Decomposition
Domain Decomposition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Domain Decomposition write by Barry Smith. This book was released on 2004-03-25. Domain Decomposition available in PDF, EPUB and Kindle. Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.
Elliptic Marching Methods and Domain Decomposition
Elliptic Marching Methods and Domain Decomposition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Marching Methods and Domain Decomposition write by Patrick J. Roache. This book was released on 1995-06-29. Elliptic Marching Methods and Domain Decomposition available in PDF, EPUB and Kindle. One of the first things a student of partial differential equations learns is that it is impossible to solve elliptic equations by spatial marching. This new book describes how to do exactly that, providing a powerful tool for solving problems in fluid dynamics, heat transfer, electrostatics, and other fields characterized by discretized partial differential equations. Elliptic Marching Methods and Domain Decomposition demonstrates how to handle numerical instabilities (i.e., limitations on the size of the problem) that appear when one tries to solve these discretized equations with marching methods. The book also shows how marching methods can be superior to multigrid and pre-conditioned conjugate gradient (PCG) methods, particularly when used in the context of multiprocessor parallel computers. Techniques for using domain decomposition together with marching methods are detailed, clearly illustrating the benefits of these techniques for applications in engineering, applied mathematics, and the physical sciences.
