Domain Decomposition Methods For The Numerical Solution Of Partial Differential Equations PDF Download
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Author | : Tarek Mathew |
Publisher | : Springer Science & Business Media |
Total Pages | : 775 |
Release | : 2008-06-25 |
Genre | : Mathematics |
ISBN | : 354077209X |
Download Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Book 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.
Author | : John E. Lagnese |
Publisher | : Birkhäuser |
Total Pages | : 454 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034878850 |
Download Domain Decomposition Methods in Optimal Control of Partial Differential Equations Book in PDF, ePub and Kindle
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.
Author | : Alfio Quarteroni |
Publisher | : |
Total Pages | : 54 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download Domain Decomposition Method for the Numerical Solution of Partial Differential Equations Book in PDF, ePub and Kindle
Author | : Barry Smith |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 2004-03-25 |
Genre | : Computers |
ISBN | : 9780521602860 |
Download Domain Decomposition Book 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.
Author | : Ralf Kornhuber |
Publisher | : Springer Science & Business Media |
Total Pages | : 686 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 3540268251 |
Download Domain Decomposition Methods in Science and Engineering Book in PDF, ePub and Kindle
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.
Author | : Claes Johnson |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486131599 |
Download Numerical Solution of Partial Differential Equations by the Finite Element Method Book in PDF, ePub and Kindle
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.
Author | : Tony F. Chan |
Publisher | : SIAM |
Total Pages | : 518 |
Release | : 1990-01-01 |
Genre | : Mathematics |
ISBN | : 9780898712537 |
Download Third International Symposium on Domain Decomposition Methods for Partial Differential Equations Book in PDF, ePub and Kindle
Author | : H.G. Kaper |
Publisher | : Springer Science & Business Media |
Total Pages | : 371 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401118108 |
Download Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters Book in PDF, ePub and Kindle
This volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptotic-induced Numerical Methods for Partial Differ ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 25-28, 1992. The purpose of the workshop was to stimulate the integration of asymp totic analysis, domain decomposition methods, and symbolic manipulation tools for the numerical solution of partial differential equations (PDEs) with critical parameters. A workshop on the same topic was held at Argonne Na tional Laboratory in February 1990. (The proceedings were published under the title Asymptotic Analysis and the Numerical Solu.tion of Partial Differ ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture Notes in Pure and Applied Mathematics. Vol. 130, ·Marcel Dekker, Inc., New York, 1991.) In a sense, the present proceedings represent a progress report on the topic area. Comparing the two sets of proceedings, we see an increase in the quantity as well as the quality of the contributions. 110re research is being done in the topic area, and the interest covers serious, nontrivial problems. We are pleased with this outcome and expect to see even more advances in the next few years as the field progresses.
Author | : Olof B. Widlund |
Publisher | : Springer Science & Business Media |
Total Pages | : 783 |
Release | : 2007-01-19 |
Genre | : Computers |
ISBN | : 3540344683 |
Download Domain Decomposition Methods in Science and Engineering XVI Book in PDF, ePub and Kindle
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.
Author | : Petter E. Bjørstad |
Publisher | : Springer |
Total Pages | : 570 |
Release | : 2019-01-05 |
Genre | : Mathematics |
ISBN | : 3319938738 |
Download Domain Decomposition Methods in Science and Engineering XXIV Book in PDF, ePub and Kindle
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.