Stability Estimates For Hybrid Coupled Domain Decomposition Methods


Stability Estimates For Hybrid Coupled Domain Decomposition Methods
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Stability Estimates For Hybrid Coupled Domain Decomposition Methods


Stability Estimates For Hybrid Coupled Domain Decomposition Methods
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Author : Olaf Steinbach
language : en
Publisher:
Release Date : 2014-01-15

Stability Estimates For Hybrid Coupled Domain Decomposition Methods written by Olaf Steinbach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Stability Estimates For Hybrid Coupled Domain Decomposition Methods


Stability Estimates For Hybrid Coupled Domain Decomposition Methods
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Author : Olaf Steinbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-03-10

Stability Estimates For Hybrid Coupled Domain Decomposition Methods written by Olaf Steinbach 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 2003-03-10 with Computers categories.


Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods.



Domain Decomposition Methods In Science And Engineering Xix


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 Xviii


Domain Decomposition Methods In Science And Engineering Xviii
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Author : Michel Bercovier
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-01

Domain Decomposition Methods In Science And Engineering Xviii written by Michel Bercovier 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 2009-09-01 with Mathematics categories.


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.



Domain Decomposition Methods In Science And Engineering Xvii


Domain Decomposition Methods In Science And Engineering Xvii
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Author : Ulrich Langer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-02

Domain Decomposition Methods In Science And Engineering Xvii written by Ulrich Langer 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 2008-01-02 with Mathematics categories.


Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.



Domain Decomposition Methods In Science And Engineering Xx


Domain Decomposition Methods In Science And Engineering Xx
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Author : Randolph Bank
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-03

Domain Decomposition Methods In Science And Engineering Xx written by Randolph Bank 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 2013-07-03 with Mathematics categories.


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.​



Dirichlet Dirichlet Domain Decomposition Methods For Elliptic Problems H And Hp Finite Element Discretizations


Dirichlet Dirichlet Domain Decomposition Methods For Elliptic Problems H And Hp Finite Element Discretizations
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Author : Korneev Vadim Glebiovich
language : en
Publisher: World Scientific
Release Date : 2015-01-29

Dirichlet Dirichlet Domain Decomposition Methods For Elliptic Problems H And Hp Finite Element Discretizations written by Korneev Vadim Glebiovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-29 with Mathematics categories.


Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.



Scientific Computing In Electrical Engineering


Scientific Computing In Electrical Engineering
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Author : G. Ciuprina
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-30

Scientific Computing In Electrical Engineering written by G. Ciuprina 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 2007-05-30 with Computers categories.


This book is a collection of selected papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sinaia, Romania, in 2006. The series of SCEE conferences aims at addressing mathematical problems which have a relevance to industry, with an emphasis on modeling and numerical simulation of electronic circuits, electromagnetic fields but also coupled problems and general mathematical and computational methods.



Point Estimation Of Root Finding Methods


Point Estimation Of Root Finding Methods
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Author : Miodrag Petkovic
language : en
Publisher: Springer
Release Date : 2008-05-29

Point Estimation Of Root Finding Methods written by Miodrag Petkovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-29 with Mathematics categories.


The problem of solving nonlinear equations and systems of equations ranks among the most signi?cant in the theory and practice, not only of applied mathematicsbutalsoofmanybranchesofengineeringsciences,physics,c- puter science, astronomy, ?nance, and so on. A glance at the bibliography and the list of great mathematicians who have worked on this topic points to a high level of contemporary interest. Although the rapid development of digital computers led to the e?ective implementation of many numerical methods, in practical realization, it is necessary to solve various problems such as computational e?ciency based on the total central processor unit time, the construction of iterative methods which possess a fast convergence in the presence of multiplicity (or clusters) of a desired solution, the control of rounding errors, information about error bounds of obtained approximate solution, stating computationally veri?able initial conditions that ensure a safe convergence, etc. It is the solution of these challenging problems that was the principal motivation for the present study. In this book, we are mainly concerned with the statement and study of initial conditions that provide the guaranteed convergence of an iterative method for solving equations of the form f(z) = 0. The traditional approach to this problem is mainly based on asymptotic convergence analysis using some strong hypotheses on di?erentiability and derivative bounds in a rather wide domain.



The Three Field Formulation For Elliptic Equations


The Three Field Formulation For Elliptic Equations
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Author : Gerd Rapin
language : en
Publisher: Cuvillier Verlag
Release Date : 2003

The Three Field Formulation For Elliptic Equations written by Gerd Rapin and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.