Domain Decomposition Methods With Coupled Transmission Conditions For The Optimal Control Of Systems Governed By Elliptic Partial Differential Equations
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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.
Domain Decomposition Methods In Science And Engineering
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Author : Ralf Kornhuber
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Domain Decomposition Methods In Science And Engineering written by Ralf Kornhuber 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 2006-03-30 with Mathematics categories.
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.
Iterative Methods And Preconditioners For Systems Of Linear Equations
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Author : Gabriele Ciaramella
language : en
Publisher: SIAM
Release Date : 2022-02-08
Iterative Methods And Preconditioners For Systems Of Linear Equations written by Gabriele Ciaramella and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-08 with Mathematics categories.
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
Domain Decomposition Methods In Science And Engineering Xxiv
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Author : Petter E. Bjørstad
language : en
Publisher: Springer
Release Date : 2019-01-05
Domain Decomposition Methods In Science And Engineering Xxiv written by Petter E. Bjørstad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-05 with Mathematics categories.
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.
Domain Decomposition Methods In Science And Engineering Xxvi
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Author : Susanne C. Brenner
language : en
Publisher: Springer Nature
Release Date : 2023-03-15
Domain Decomposition Methods In Science And Engineering Xxvi written by Susanne C. Brenner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-15 with Mathematics categories.
These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. 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 2020.
Proceedings Of The Seventh Siam Conference On Parallel Processing For Scientific Computing
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Author : David H. Bailey
language : en
Publisher: SIAM
Release Date : 1995-01-01
Proceedings Of The Seventh Siam Conference On Parallel Processing For Scientific Computing written by David H. Bailey and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.
Proceedings -- Parallel Computing.
Control Of Nonlinear Distributed Parameter Systems
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Author : Goong Chen
language : en
Publisher: CRC Press
Release Date : 2001-03-14
Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-14 with Mathematics categories.
An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics and its Applications, the University of Minnesota, and Texas A&M University.
Third International Conference On Mathematical And Numerical Aspects Of Wave Propagation
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Author : Gary C. Cohen
language : en
Publisher: SIAM
Release Date : 1995-01-01
Third International Conference On Mathematical And Numerical Aspects Of Wave Propagation written by Gary C. Cohen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.
This volume contains the papers presented at the title conference. Speakers from 13 different countries were represented at the meeting. A broad range of topics in theoretical and applied wave propagation is covered.
Enumath 97 Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications
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Author : Hans Georg Bock
language : en
Publisher: World Scientific
Release Date : 1998-11-06
Enumath 97 Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications written by Hans Georg Bock and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-06 with categories.
The ENUMATH conferences were established in 1995 in order to provide a forum for discussion on recent topics of numerical mathematics. They seek to bring together leading experts and young scientists, with special emphasis on contributions from Europe.In the second ENUMATH conference in 1997, recent results and new trends in the analysis of numerical algorithms as well as their application to challenging scientific and industrial problems were discussed. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications.The topics covered in this proceedings include: higher order finite element methods, non-matching grids, least-squares methods for partial differential equations, multiscale analysis, boundary element method, optimization in partial differential equations, solid mechanics, microstructures, computational fluid dynamics, computational electrodynamics and semiconductors.
Control Theory Of Partial Differential Equations
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Author : Guenter Leugering
language : en
Publisher: CRC Press
Release Date : 2005-05-27
Control Theory Of Partial Differential Equations written by Guenter Leugering and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-27 with Mathematics categories.
The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a