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Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations

Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations PDF Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category :
Languages : en
Pages : 40

Book Description


Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations

Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations PDF Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category :
Languages : en
Pages : 40

Book Description


Domain Decomposition Methods 10

Domain Decomposition Methods 10 PDF Author: Jan Mandel
Publisher: American Mathematical Soc.
ISBN: 0821809881
Category : Mathematics
Languages : en
Pages : 569

Book Description
This volume contains the proceedings of the Tenth International Conference on Domain Decomposition Methods, which focused on the latest developments in realistic applications in structural mechanics, structural dynamics, computational fluid dynamics, and heat transfer. The proceedings of these conferences have become standard references in the field and contain seminal papers as well as the latest theoretical results and reports on practical applications.

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

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.

Domain Decomposition Methods in Science and Engineering XVI

Domain Decomposition Methods in Science and Engineering XVI PDF Author: Olof Widlund
Publisher: Springer Science & Business Media
ISBN: 3540344691
Category : Technology & Engineering
Languages : en
Pages : 783

Book Description
Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Domain Decomposition Methods in Scientific and Engineering Computing

Domain Decomposition Methods in Scientific and Engineering Computing PDF Author: David E. Keyes
Publisher: American Mathematical Soc.
ISBN: 0821851713
Category : Mathematics
Languages : en
Pages : 578

Book Description
This book contains proceedings from the Seventh International Conference on Domain Decomposition Methods, held at Pennsylvania State University in October 1993. The term ``domain decomposition'' has for nearly a decade been associated with the partly iterative, partly direct algorithms explored in the proceedings of this conference. Noteworthy trends in the current volume include progress in dealing with so-called ``bad parameters'' in elliptic partial differential equation problems, as well as developments in partial differential equations outside of the elliptically-dominated framework. Also described here are convergence and complexity results for novel discretizations, which bring with them new challenges in the derivation of appropriate operators for coarsened spaces. Implementations and architectural considerations are discussed, as well as partitioning tools and environments. In addition, the book describes a wide array of applications, from semiconductor device simulation to structural mechanics to aerodynamics. Presenting many of the latest results in the field, this book offers readers an up-to-date guide to the many facets of the theory and practice of domain decomposition.

Spectral Methods in Fluid Dynamics

Spectral Methods in Fluid Dynamics PDF Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3642841082
Category : Science
Languages : en
Pages : 582

Book Description
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.

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

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 Preconditioners for the Spectral Collocation Method

Domain Decomposition Preconditioners for the Spectral Collocation Method PDF Author: Alfio Quarteroni
Publisher:
ISBN:
Category :
Languages : en
Pages : 46

Book Description


Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering

Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering PDF Author: David E. Keyes
Publisher: SIAM
ISBN: 9781611971507
Category : Mathematics
Languages : en
Pages : 339

Book Description
This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 568

Book Description