A parallel element‐by‐element solution scheme

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Abstract
A parallel element‐by‐element scheme is developed for finite‐element solution of elliptic boundary‐value problems. It is shown that, for a broad class of computational grids, the solution algorithm is totally parallelizable. Moreover, the conversion of an existing serial EBE code to a parallel code is seen to be quite simple. The method is implemented on the Alliant FX/8 and Sequent Balance parallel computers and ‘speedup’ performance studies are conducted for a representative elliptic PDE in two dimensions. The present procedure can be applied quite generally to other finite‐element applications, and the associated programs can be modified in a straightforward way to implement the method.

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