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A study of the efficiency of iterative methods for linear problems in structural mechanics

✍ Scribed by A. Samuelsson; N-E. Wiberg; L. Bernspång

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
569 KB
Volume
22
Category
Article
ISSN
0029-5981

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✦ Synopsis

The efficiency of iterative methods in linear structural mechanics is studied. The efficiency concerns the calculation time, the numerical accuracy and the core storage needed. We state that iterative methods are effective in connection with hierarchical improvement of a primary approximation. Three iterative methods are studied: the conjugate gradient method preconditioned by a modified incomplete factorization matrix, the same method preconditioned by a matrix obtained from natural factors on elemental level, and a Jacobi integration preconditioned by viscous relaxation split in an element-by-element way. We make comparisons with direct methods, Gaussian elimination and factorization by use of natural factors.

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