Geodesic
Reducing the bandwidth in solving linear algebraic systems arising in the finite element method
Applications of Mathematics, Tome 25 (1980) no. 4, pp. 286-304.

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The matrix of the system of linear algebraic equations, arising in the application of the finite element method to one-dimensional problems, is a bandmatrix. In approximations of high order, the band is very wide but the elements situated far from the diagonal of the matrix are negligibly small as compared with the diagonal elements. The aim of the paper is to show on a model problem that in practice it is possible to work with a matrix of the system the bandwidth of which is reduced. A simple numerical example illustates the discussion.
DOI : 10.21136/AM.1980.103862
Classification : 65F30, 65N20
Keywords: reducing the bandwidth; finite element method; numerical example 
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Segethová, Jitka. Reducing the bandwidth in solving linear algebraic systems arising in the finite element method. Applications of Mathematics, Tome 25 (1980) no. 4, pp. 286-304. doi : 10.21136/AM.1980.103862. http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103862/

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