An implicit unconditionally stable partitioned solution procedure for the simultaneous integration of transient coupled ยฎeld problems is presented. The procedure does not require that the full system of coupled equations be assembled, and allows use of existing single-ยฎeld analysis software modules
Declarative solutions to partitioned-grid problems
โ Scribed by Sandro Etalle; Pieter H. Hartel; Willem G. Vree
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 269 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0038-0644
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โฆ Synopsis
The problem of partitioning grid-based applications for parallel computing can be solved easily and intuitively in a logic programming language such as Prolog, using only the single assignment property of the logic variable, and not the backtracking. We show that such a logic program can be transformed in a systematic way into a circular functional program, which runs 10 times faster than the original logic program. The transformation proceeds in a number of steps. The first step is novel, and we give a correctness proof. Our reasoning also uses a novel combination of concepts from both the logical and functional paradigms.
๐ SIMILAR VOLUMES
Two extended numerical di!erentiation methods based on Green's second identity are presented. These may be used for postprocessing approximate solutions in general material distributions, including inhomogeneous and discontinuous material characteristics. The "rst method uses a general formulation w