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Author: National Aeronautics and Space Administration (NASA) Publisher: Createspace Independent Publishing Platform ISBN: 9781722182816 Category : Languages : en Pages : 30
Book Description
The divide-and-conquer paradigm of iterative domain decomposition, or substructuring, has become a practical tool in computational fluid dynamic applications because of its flexibility in accommodating adaptive refinement through locally uniform (or quasi-uniform) grids, its ability to exploit multiple discretizations of the operator equations, and the modular pathway it provides towards parallelism. These features are illustrated on the classic model problem of flow over a backstep using Newton's method as the nonlinear iteration. Multiple discretizations (second-order in the operator and first-order in the preconditioner) and locally uniform mesh refinement pay dividends separately, and they can be combined synergistically. Sample performance results are included from an Intel iPSC/860 hypercube implementation. Gropp, William D. and Keyes, David E. Unspecified Center NAS1-18605; RTOP 505-90-52-01...
Author: National Aeronautics and Space Administration (NASA) Publisher: Createspace Independent Publishing Platform ISBN: 9781722182816 Category : Languages : en Pages : 30
Book Description
The divide-and-conquer paradigm of iterative domain decomposition, or substructuring, has become a practical tool in computational fluid dynamic applications because of its flexibility in accommodating adaptive refinement through locally uniform (or quasi-uniform) grids, its ability to exploit multiple discretizations of the operator equations, and the modular pathway it provides towards parallelism. These features are illustrated on the classic model problem of flow over a backstep using Newton's method as the nonlinear iteration. Multiple discretizations (second-order in the operator and first-order in the preconditioner) and locally uniform mesh refinement pay dividends separately, and they can be combined synergistically. Sample performance results are included from an Intel iPSC/860 hypercube implementation. Gropp, William D. and Keyes, David E. Unspecified Center NAS1-18605; RTOP 505-90-52-01...
Author: Alfio Quarteroni Publisher: American Mathematical Soc. ISBN: 0821851586 Category : Mathematics Languages : en Pages : 510
Book Description
This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Much of the work in this field focuses on developing numerical methods for large algebraic systems.
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.
Author: Patrick J. Roache Publisher: CRC Press ISBN: 9780849373787 Category : Mathematics Languages : en Pages : 212
Book Description
One of the first things a student of partial differential equations learns is that it is impossible to solve elliptic equations by spatial marching. This new book describes how to do exactly that, providing a powerful tool for solving problems in fluid dynamics, heat transfer, electrostatics, and other fields characterized by discretized partial differential equations. Elliptic Marching Methods and Domain Decomposition demonstrates how to handle numerical instabilities (i.e., limitations on the size of the problem) that appear when one tries to solve these discretized equations with marching methods. The book also shows how marching methods can be superior to multigrid and pre-conditioned conjugate gradient (PCG) methods, particularly when used in the context of multiprocessor parallel computers. Techniques for using domain decomposition together with marching methods are detailed, clearly illustrating the benefits of these techniques for applications in engineering, applied mathematics, and the physical sciences.
Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
RESUMEN El método de descomposición de dominios (DD) que se propone en esta tesis pretende resolver flujos incompresibles alrededor de objetos en movimiento relativo. El algoritmo de DD está basado en un acoplamiento del tipo Dirichlet/Neumann(Robin) aplicado a subdominios con solapamiento, y es, por tanto, una extensión del método Dirichlet/Neumann(Robin) clásico con subdominios disjuntos. En realidad, el campo de aplicación de este estudio es mucho más amplio puesto que en el se propone un posible marco teórico para abordar la extensión a subdominios solapados de los métodos mixtos clásicos: métodos Dirichlet/Robin, Dirichlet/Neumann, Robin/Neumann y Robin/Robin. Se observa que los métodos mixtos propuestos heredan propiedades del método de Schwarz y al mismo tiempo conservan el comportamiento de sus equivalentes sin solapamiento cuando este tiende a cero. Se muestra como resultado principal que el solapamiento hace estos métodos más robustos que los métodos sin solapamiento. El método de DD que se estudia es geométrico y algorítmico. Es geométrico en el sentido de que la partición del dominio computacional se lleva a cabo antes del proceso de mallado y de acuerdo con el acoplamiento de DD que se prevé usar. Es también algorítmico porque la solución en cada subdominio se obtiene en procesos diferentes y el intercambio de información entre subdominios se realiza mediante un código maestro. Tal estrategia es muy flexible puesto que requiere muy pocas modificaciones del código numérico original. Por consiguiente, sólo el código maestro necesita ser adaptado a los códigos y estrategias numéricos utilizados en cada subdominio. Se presenta una descripción detallada de la implementación del método de DD propuesto en el contexto numérico de los elementos finitos. Presentamos técnicas de interpolación para los datos de tipo Dirichlet y Neumann y desarrollamos algoritmos de conservación. Una vez el acoplamiento de DD y las interpolaciones definidos, presentamos un método de.
Author: Ralf Kornhuber Publisher: Springer Science & Business Media ISBN: 3540268251 Category : Mathematics Languages : en Pages : 686
Book Description
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.
Author: Susanne C. Brenner Publisher: Springer Nature ISBN: 3030950255 Category : Mathematics Languages : en Pages : 778
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.
Author: National Aeronautics and Space Administration (NASA)
Author: National Aeronautics and Space Administration (NASA)
Author: Institute for Computer Applications in Science and Engineering
Author: Alfio Quarteroni
Author: Guillaume Houzeaux
Author: Jan Mandel
Author: Patrick J. Roache
Author: Lin Fu
Author: 
Author: Ralf Kornhuber
Author: Susanne C. Brenner