Computation and Applied Mathematics

Computation and Applied Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 232

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Book Description

Computation and Applied Mathematics

Computation and Applied Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 232

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Book Description


Domain Decomposition Methods in Optimal Control of Partial Differential Equations

Domain Decomposition Methods in Optimal Control of Partial Differential Equations PDF Author: John E. Lagnese
Publisher: Birkhäuser
ISBN: 3034878850
Category : Mathematics
Languages : en
Pages : 454

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Book Description
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 - Algorithms and Theory

Domain Decomposition Methods - Algorithms and Theory PDF Author: Andrea Toselli
Publisher: Springer Science & Business Media
ISBN: 3540266623
Category : Mathematics
Languages : en
Pages : 454

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Book Description
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.

Domain Decomposition Methods in Science and Engineering XXIV

Domain Decomposition Methods in Science and Engineering XXIV PDF Author: Petter E. Bjørstad
Publisher: Springer
ISBN: 3319938738
Category : Mathematics
Languages : en
Pages : 556

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Book Description
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 for the Numerical Solution of Partial Differential Equations

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations PDF Author: Tarek Mathew
Publisher: Springer Science & Business Media
ISBN: 354077209X
Category : Mathematics
Languages : en
Pages : 775

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Book Description
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 XVIII

Domain Decomposition Methods in Science and Engineering XVIII PDF Author: Michel Bercovier
Publisher: Springer Science & Business Media
ISBN: 364202677X
Category : Mathematics
Languages : en
Pages : 384

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Book Description
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 XXVI

Domain Decomposition Methods in Science and Engineering XXVI PDF Author: Susanne C. Brenner
Publisher: Springer Nature
ISBN: 3030950255
Category : Mathematics
Languages : en
Pages : 778

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Book Description
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.

Domain Decomposition Methods in Science and Engineering XX

Domain Decomposition Methods in Science and Engineering XX PDF Author: Randolph Bank
Publisher: Springer Science & Business Media
ISBN: 3642352758
Category : Mathematics
Languages : en
Pages : 702

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Book Description
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.​

Domain Decomposition Methods in Science and Engineering XVII

Domain Decomposition Methods in Science and Engineering XVII PDF Author: Ulrich Langer
Publisher: Springer Science & Business Media
ISBN: 3540751998
Category : Mathematics
Languages : en
Pages : 656

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Book Description
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.

Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation

Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation PDF Author: Alfredo Berm?dez
Publisher: SIAM
ISBN: 9780898714708
Category : Science
Languages : en
Pages : 1062

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Book Description
This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.