Recent Developments In Domain Decomposition Methods
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Recent Developments In Domain Decomposition Methods
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Author : Luca F. Pavarino
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Developments In Domain Decomposition Methods written by Luca F. Pavarino 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 2012-12-06 with Computers categories.
The main goal of this book is to provide an overview of some of the most recent developments in the field of Domain Decomposition Methods. Domain decomposition relates to the construction of preconditioners for the large algebraic systems of equations which often arise in applications, by solving smaller instances of the same problem. It also relates to the construction of approximation methods built from different discretizations in different subdomains. The resulting methods are among the most successful parallel solvers for many large scale problems in computational science and engineering. The papers in this collection reflect some of the most active research areas in domain decomposition such as novel FETI, Neumann-Neumann, overlapping Schwarz and Mortar methods.
Recent Developments In Domain Decomposition Methods
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Author : Luca F Pavarino
language : en
Publisher:
Release Date : 2002-06-12
Recent Developments In Domain Decomposition Methods written by Luca F Pavarino and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-12 with categories.
Recent Developments In Domain Decomposition Methods
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Author : Luca F. Pavarino
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-06-12
Recent Developments In Domain Decomposition Methods written by Luca F. Pavarino 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 2002-06-12 with Computers categories.
The main goal of this book is to provide an overview of some of the developments in the field of domain decomposition methods. Papers reflect some of the most active research areas in domain decomposition such as novel FETI, Neumann-Neumann, overlapping Schwarz and Mortar methods.
Domain Decomposition Methods Algorithms And Theory
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Author : Andrea Toselli
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-10-18
Domain Decomposition Methods Algorithms And Theory written by Andrea Toselli 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 2004-10-18 with Mathematics categories.
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.
Recent Developments In Discontinuous Galerkin Finite Element Methods For Partial Differential Equations
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Author : Xiaobing Feng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-08
Recent Developments In Discontinuous Galerkin Finite Element Methods For Partial Differential Equations written by Xiaobing Feng 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 2013-11-08 with Mathematics categories.
The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research. Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field today and point toward possibilities for future inquiry. The longer survey lectures, delivered by Franco Brezzi and Chi-Wang Shu, respectively, focus on theoretical aspects of discontinuous Galerkin methods for elliptic and evolution problems. Other papers apply DG methods to cases involving radiative transport equations, error estimates, and time-discrete higher order ALE functions, among other areas. Combining focused case studies with longer sections of expository discussion, this book will be an indispensable reference for researchers and students working with discontinuous Galerkin finite element methods and its applications.
Domain Decomposition Methods In Optimal Control Of Partial Differential Equations
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Author : John E. Lagnese
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Domain Decomposition Methods In Optimal Control Of Partial Differential Equations written by John E. Lagnese and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This monograph considers problems of optimal control for partial differential equa tions of elliptic and, more importantly, of hyperbolic types on networked domains. The main goal is to describe, develop and analyze iterative space and time domain decompositions of such problems on the infinite-dimensional level. 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. A keyword in this context is parallelism. This development is perhaps best illustrated by the fact that we just encountered the 15th annual conference precisely on this topic. Without attempting to provide a complete list of introductory references let us just mention the monograph by Quarteroni and Valli [91] as a general up-to-date reference on domain decomposition methods for partial differential equations. The emphasis of this monograph is to put domain decomposition methods in the context of so-called virtual optimal control problems and, more importantly, to treat optimal control problems for partial differential equations and their decom positions by an all-at-once approach. This means that we are mainly interested in decomposition techniques which can be interpreted as virtual optimal control problems and which, together with the real control problem coming from an un derlying application, lead to a sequence of individual optimal control problems on the subdomains that are iteratively decoupled across the interfaces.
Spectral Methods In Fluid Dynamics
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Author : Claudio Canuto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spectral Methods In Fluid Dynamics written by Claudio Canuto 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 2012-12-06 with Science categories.
This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.
Recent Developments In Domain Decomposition Methods And Flow Problems
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Author : H. fujita
language : en
Publisher:
Release Date : 1998-08
Recent Developments In Domain Decomposition Methods And Flow Problems written by H. fujita and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08 with categories.
Meshfree Methods For Partial Differential Equations V
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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-04
Meshfree Methods For Partial Differential Equations V written by Michael Griebel 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 2010-11-04 with Mathematics categories.
The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.
Meshfree Methods For Partial Differential Equations Iv
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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-10
Meshfree Methods For Partial Differential Equations Iv written by Michael Griebel 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 2008-10-10 with Mathematics categories.
The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.