A Fast Implementation of the Global Element Method
- 1 March 1980
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 25 (2) , 177-197
- https://doi.org/10.1093/imamat/25.2.177
Abstract
A straightforward implementation of the Global Element Method (Delves & Hall, 1979) for two-dimensional partial differential equations has an operation count: Set up equations: θ(MN6); solve: θ(M3N6) where M is the number of elements and N the number of one-dimensional expansion functions used in each element. We describe here an alternative implementation in which both of these counts are reduced to θ(MN4). The method used generalizes to p dimensions, with operation count θ(MN2p) compared with the “standard” count θ(MP3p + M3N3p).Keywords
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