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Block iterative finite element preprocessed scheme for simulation of large non-linear problems

✍ Scribed by Clifford I. Voss; George F. Pinder

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
846 KB
Volume
12
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The ‘Block Iterative Finite Element Preprocessed Scheme’ (BIFEPS) for finite element simulation combines two independent steps. In the ‘finite element preporcessing step’, spatial information about the finite element mesh is analysed and all integrals arising from the application of the Galerkin method are evaluated and stored on a permanent sequential storage unit (such as tape or disk). In the ‘block iterative step’, the preprocessed information is retrieved from permanent storage and the matrix equation is assembled and solved in an efficient manner according to a generalization of the block successive over‐relaxation iterative method. Significant advantages over common finite element simulation techniques are achieved in terms of both computer core requirements and execution time. Numerical experiments show that the advantages of BIFEPS are greatest for large, non‐linear simulation problems.

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