Abstract
The application of the finite element method to structural analysis generally requires to solve a large and sparse set of linear equations, but it is well known that the reliability of the solution becomes low as the increase of the dimension of the linear system. The purpose of this investigation is to show how to prevent the development of the numerical error according to the elimination procedure. Through the theoretical investigation we show that the numerical error is governed by the conditioning number of the governing equation and also of matrices appearing during the elimination procedure. Successive experimental study concludes that the appropriate elimination ordering may decrease the error by an order of magnitude. Some other important informations on the elimination ordering are also given in this paper.
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