The parallel AGE method for the elliptic problem in two dimensions
โ Scribed by D.J. Evans
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 349 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0167-8191
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โฆ Synopsis
Evans, D_J_, The parallel AGE method for the elliptic problem in two dimensions, Parallel Computing 17 (1991) 925-940.
In this paper the Alternating Group Explicit (AGE) method is presented for the iterative solution of the finite difference equations derived from the discretisation of an elliptic partial differential equation specified within a two-dimensional domain with given boundary conditions and implemented on a MIMD Balance system. The AGE method is shown to be eminently suitable for parallel computers since it possesses separate independent tasks i.e. (2 ร 2) sub-blocks which can be expressed explicitly and can be executed simultaneously. Three parallel strategies are developed and implemented and the results compared.
๐ SIMILAR VOLUMES
We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finite-element method in which the solution is approximated by standard polynomial basis functions supplemented by the leading ter