منابع مشابه
Efficient parallel solution of PDEs
The modeling of physical systems often leads to partial differential equations (PDEs). Usually, the equations or the domain where the equations are posed are so complicated that the analytic solution cannot be found. Thus, the equations must be solved using numerical methods. In order to do this, the PDEs are first discretized using the finite element method (FEM) or the finite difference metho...
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The parallelization of numerical codes on unstructured grids still is a demanding programming task, which is often performed in an application-speciic manner. However, many of the algorithms used in this eld exhibit strong structural similarities. A concept exploiting the latter is developed in this paper. Furthermore, it will be shown how the abstract concepts can be implemented in a reusable ...
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Todays fastest supercomputers already feature more than a million cores and this number is expected to rise beyond 100 million over the next decade. Because at the same time frequencies of individual processors remain constant or even decrease for reasons of efficiency, developers are increasingly confronted with the fact that accelerating numerical (but also other) codes necessarily requires t...
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Nous pr esentons un algorithme parall ele d eterministe pour la r esolution d'un syst eme d' equations lin eaires Ax = b sur un corps de caract eristique nulle. Cet algorithme s'ex ecute en temps O(log 2 n) et utilise O(M(n)) processeurs arithm etiques si M(n) est le nombre de processeurs requis pour le produit de matrices en temps O(log n). Abstract. We present a deterministic parallel algorit...
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We propose a strategy, based on domain decomposition methods , for parallelizing existing sequential simulators for solving partial diier-ential equations. Using an object-oriented programming framework, high-level parallelizations can be done in an eecient and systematical way. Concrete case studies, including numerical experiments, are provided to further illustrate this parallelization strat...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1996
ISSN: 0898-1221
DOI: 10.1016/0898-1221(95)00227-8