Domain Decomposition Methods in Optimal Control of Partial Differential Equations
Domain Decomposition Methods in Optimal Control of Partial Differential Equations

Author: John E. Lagnese

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 454

ISBN-13: 3034878850

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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.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Author: Tarek Mathew

Publisher: Springer Science & Business Media

Published: 2008-06-25

Total Pages: 775

ISBN-13: 354077209X

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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 in Science and Engineering XXIV
Domain Decomposition Methods in Science and Engineering XXIV

Author: Petter E. Bjørstad

Publisher: Springer

Published: 2019-01-05

Total Pages: 570

ISBN-13: 3319938738

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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
Domain Decomposition

Author: Barry Smith

Publisher: Cambridge University Press

Published: 2004-03-25

Total Pages: 244

ISBN-13: 9780521602860

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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.

Domain Decomposition Methods in Science and Engineering XVII
Domain Decomposition Methods in Science and Engineering XVII

Author: Ulrich Langer

Publisher: Springer Science & Business Media

Published: 2008-01-02

Total Pages: 656

ISBN-13: 3540751998

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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.

Optimal Control Problems for Partial Differential Equations on Reticulated Domains
Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Author: Peter I. Kogut

Publisher: Springer Science & Business Media

Published: 2011-09-09

Total Pages: 639

ISBN-13: 0817681493

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In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.

Domain Decomposition Methods in Science and Engineering
Domain Decomposition Methods in Science and Engineering

Author: Ralf Kornhuber

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 686

ISBN-13: 3540268251

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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.

Domain Decomposition Methods in Science and Engineering XXVI
Domain Decomposition Methods in Science and Engineering XXVI

Author: Susanne C. Brenner

Publisher: Springer Nature

Published: 2023-03-15

Total Pages: 778

ISBN-13: 3030950255

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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.